Multicriteria Decision Analysis to Develop Effective Sustainable Development Strategies for Enhancing Competitive Advantages: Case of the Tft-lcd Industry in Taiwan

In the Internet of Things era, panel displays play a major role in human life, because humans frequently use liquid crystal displays to monitor their electrical devices. The display industry creates remarkable economic output, but every manufacturing process inevitably has some undesirable effects on the environment. With the increasing awareness of environmental protection, balanced development is necessary to address the emerging market trends. However, shortsighted manufacturing corporations that focus solely on financial performance can achieve only short-term profits. The purpose of this study was to develop the most effective sustainable improvement strategies that can enhance competitive advantages in real-world situations. The proposed method combines the balanced scorecard and a new hybrid modified multiple attribute decision-making model which together adopt the DEMATEL technique to construct the influential network relation map and develop the DEMATEL-based ANP with the VIKOR method to deliver strategies that integrate environmental sustainability and competitive advantage. Finally, a real-world case study applying the proposed method to the cases of liquid crystal display manufacturers was conducted. Then, this paper discusses the effective use of natural resources, development of enterprises, and sustainable competitive advantage in this context. Various manufacturers, communities, and stakeholders can benefit from the coopetition solutions explained by the proposed method.


Introduction
In the Internet of Things era, human life is intimately interconnected with digital technologies, such as thin-film transistor liquid-crystal displays (TFT-LCDs).Consumers rely on display panels to monitor their electrical devices, and growing demand has motivated the development of the TFT-LCD industry in the world.Although TFT-LCD manufacturing processes yield highly desirable products, such processes create undesirable byproducts in addition to producing pollution that can endanger the environment.Alarmed by climate change and roused to action by environmental education efforts, communities are calling for environmental protection.The common consensus is that a balance must be established among the environment, society, and governance (ESG) [1].This environmental consciousness guides consumers' opinions when they make purchasing decisions.Numerous advanced countries have started to redefine economic development and growth from a different perspective.However, almost all electronic products still rely on display panels for monitoring and/or control, which are manufactured by TFT-LCD factories.Even though a particular industry might produce notable quantities of pollution, that industry can commit to a constant process of improvement to become sustainable.Hence, manufacturers can embed concepts of clean production, also called green production, in their governance plans for sustainable improvement to achieve an aura of eco-friendliness in response to corporate social responsibility (CSR).Furthermore, balanced development satisfies customers' needs while protecting the environment; this market trend will continue to be necessary in the future [2][3][4].Therefore, the aim of this study was to develop the most effective sustainable improvement strategies for enhancing competitive advantages in real-world situations.
Before environmental awareness became widespread, the business term "competitive advantage" often referred to the pursuit of business goals, which usually meant profitability as a means to pay returns to investors and stakeholders.Stakeholders in different periods have sought different types of competitive advantage; the concept has evolved from the simple pursuit of economic growth to the maximization of ethical business.Financial performance has dominated the measurement of competitive advantage, but unsustainable growth at any cost causes short-sighted, short-term profits for corporations.Currently, companies have begun to pursue long-term and sustainable competitive advantage on the basis of the balanced scorecard (BSC) involving four dimensions: (1) Learning and Growth; (2) Internal Business Processes; (3) Customer; and (4) Financial.However, the interactions among the BSC dimensions necessitate seeking reasonable real-world solutions that are relevant to a manufacturer's industrial characteristics [5].Because high-tech industries have numerous attributes that can be configured in various manners, grueling competition and complicated operational processes engender resource differentials and adequacy challenges; this is especially true in the TFT-LCD panel industry in Taiwan.This study integrated sustainability and competitive advantage concepts to develop the most effective solutions for enterprises that use natural resources.
Simon received the Nobel Prize in Economics in 1978 [6] for ideas relating to sustainable competitive advantage and aspiration levels.A visionary TFT-LCD company must implement a systematic plan of sustainable improvement; this plan must grow into a comprehensive development map that combines the characteristics of the TFT-LCD panel industry with the BSC concepts of ecological responsibility.Comprehensive development maps (referred to as the influential network relation map (INRM)) and influential weights of DEMATEL-based ANP (DANP) may benefit from the DEMATEL (decision making trial and evaluation laboratory) technique, and modified VIKOR (VlseKriterijumska Optimizacija I Kompromisno Resenje, in Serbian) method challenges by integrating the BSC and the influential weights of DANP with a modified VIKOR (DANP-V).DANP-V has two main characteristics: (1) it can be analyzed under the guidelines of the appraisal program; and (2) it systematically approaches continuous improvement of its proposals.The modified VIKOR method in DANP-V can be used for bridging the performance gap by setting an "aspired-worst" benchmark to replace the "max-min" benchmark used in the conventional VIKOR approach (to avoid "picking only the best apple from a barrel of rotten apples"); this thus prevents the application of "piecemeal, stop-gap tactics" and enables achieving aspiration levels through systematic improvements based on INRM.
Since 1999, Taiwanese enterprises and the government have provided a considerable amount of talent, training, and finances to enable the TFT-LCD panel industry to obtain competitive advantage cutting-edge specialized field technology and patents because of their wide range and application in many types of electronic merchandise.The key players within the TFT-LCD manufacturing field are clustered in Taiwan and South Korea, constituting approximately 83% of the total worldwide TFT-LCD sales [7].The industrial structures of these two countries are quite different.Compared to the Korean TFT-LCD industry, which is built up by consortium support by National Plan, the Taiwanese TFT-LCD industry consists of small and medium firms that are merged into a group [8].Hence, the TFT-LCD panel industry business success of note, which affects the survival on a wide level, has become an indicator of Taiwanese industry.Within the past decades, numerous Taiwanese TFT-LCD panel companies have implemented cost reduction strategies and reduced the costs of production, and intense price competition was generated in the industry as an empirical real case.Taiwanese TFT-LCD firms were gradually losing ground to the competition in the global market.A resource integration strategy was executed by merging five major panel companies into two groups, Companies A and I; each group was assisted by the government and accounted for the formation of a duopoly market in Taiwan.However, these two companies still cannot effectively enhance their sustainable competitive advantage over competitors with the same technology level.TFT-LCD technology has to take into consideration the intense competition in the industry.These corporations are facing the pressure of upgrade sustainability capacity from advanced countries and the challenge to employ technology or raw materials to manufacture products in an environmentally friendly manner.If corporations do not have a standardized environmental protection policy, they cannot provide module or semi-finished products, particularly in electronic merchandise, to downstream manufacturers for produce and/or import to those advanced countries [9,10].Therefore, the concept of sustainability has driven electronics firms to develop continuous improvement strategies intended to achieve an environmentally relevant aspiration level in Taiwan.Strategies of sustained competitive advantage for achieving the desired aspiration level are explained in terms of continuous improvement and sustainable development in the context of existing interrelationships.Through the analysis of the two companies' architectures of performance, the problem is explained and solutions that create sustainable competitive advantage are discussed.
The research topic of this study is as follows: two major Taiwanese TFT-LCD companies are gaining consumers in advanced countries with the rise and spread of environmental awareness and face the early implementation of a cleaner production program towards the approach of sustainable development of enterprises to maintain a business competitive advantage.Sustainable development is a continuous improvement progress, thus companies will need to continue investing resources for improving ability to achieve the expectation goal in the future.However, understanding how to invest and improve in the right path for systematically sustainable development is an urgent and important issue.
The main contribution of this study is the comprehensive solution for two major TFT-LCD companies to deal with the fundamental problem (gap) of clearly understanding how to implement the company operations for sustainable development in real-world situations.Furthermore, this study also found the requirement to keep investing in the continuously improving path (INRM) with a resource integration relationship to bridge the gap, in order to make the cooperation plan of these two TFT-LCD companies toward achieving aspiration levels in the future.
The remainder of this paper is organized as follows.Section 2 presents a literature review to establish the indicator framework, and Section 3 presents the DANP-V method.Section 4 reviews the empirical facts regarding TFT-LCD companies in Taiwan, and Section 5 presents conclusions.

Sustainable Competitive Advantage and BSC
According to the definition by Kaplan and Norton [11], sustainability "formulates a relationship between dynamic human economic systems and slower changing ecological systems in which human life can continue indefinitely, human individuals can flourish, and human cultures can develop, while diversity, complexity, and function of the ecological life support system are protected".Various methods that formalize knowledge of manufacturing tools and concepts can also systematize sustainability performance; among such tools are the analytic hierarchical process (AHP) [12] and the balanced scorecard method [13,14].Such methods may help to define objectives, plan performance improvement and control practices for performance improvement [15][16][17][18], and factors (dimensions and criteria) assumed for each other's independence.
Competition has been described as a means of encouraging "the search of new regenerating combinations of resources, skills, and processes", whereas cooperation has been described as facilitating "access to rare and complementary resources" [19].Numerous companies have begun adopting the BSC as a tool to measure valuable resources in their operational processes, which are analyzed in terms of independent dimensions [20][21][22].Previous research on sustainability strategies has focused on success factors [23], coordination and control aspects [24], and governance [25].Hence, in this research, how is the combination of BSC and DANP-V for measuring sustainable competitive advantage a reasonable solution for continuously improving strategies in the real world?This presents an important issue for analysis.

Assessment Framework of Sustainable Competitive Advantage
Evaluating the measures and criteria of sustainable development requires a strategy, a feasibility model for minimizing the performance gaps among criteria, and a method for analyzing the complicated interrelationships among dimensions and criteria in the multiple attribute decision-making (MADM) process.Decision makers engage in bridging gaps, preventing decision errors, and diminishing planning bias by using the BSC and this comprises learning and growth, internal business processes, customer, and financial dimensions.This technique was applied as a robust measure of organizational performance; however, the interactions and interrelationships among the four dimensions and criteria vary depending on the industry.The DANP-V model was applied to elucidate the interactions and interrelationships of multiple criteria and dimensions of the BSC.This process is conducted with the industrial attribute of aiming to facilitate improvement strategies under holistic diagnosis for comprehension to achieve sustainable competitive advantages for TFT-LCD companies.The BSC can be used as a tool to assist decision makers who have the authority to select ground plans on the basis of competitive advantage strategies adopted in pursuit of continuous improvement and sustainable development [26][27][28][29][30][31][32][33].Consequently, the BSC was developed to facilitate decision making with dimensions of coordinated development and analysis and merged with the ESG concept (Table 1).The following comprehensive list of dimensions and criteria that can enhance TFT-LCD firms' sustainable development competency was obtained on the basis of the BSC and ESG.The Learning and Growth dimension (D  .The dimensions and criteria are described as follows.

Learning and Growth
The effect of continual enhancement of sustainability and an increase in competency accumulation on learning can be observed and discussed through imperceptible influence processes.Knowledge and technology for sustainable development are achieved by learners through formal and/or informal transfer processes.Therefore, a sustainable base for lifelong learning and training processes includes Sustainable Employees Education, Employee Professional Sustainability, Sustainable Management Know-how, and Employee Reaction Competency [10,[34][35][36][37][38][39][40][41][42][43]79].The Sustainable Employees Education criterion composing eco-friendly and sustainable supply chain activities in service training, seminar, or technical exchange programs merges domain knowledge with the organizational partnership to respond to the environmental awareness of employees [37].Sustainable employee training was also identified as a major challenge that should be addressed to endorse environmental protection and merge education with domain knowledge [35,38]; the Employee Professional Sustainability criterion for employees' professional capacity was constructed through a long-term continual cultivated development process, embedded in the sustainability practice with high-quality procedures in the professional domain [39].Building upon existing knowledge, skills and science expertise in sustainability applications were integrated into the routine workflow, and the requirement of environmental protection was carefully addressed in professional communities [34].The Sustainable Management Know-how criterion comprises the relative sustainable competitive advantage of business firms from the creation, ownership, protection, and use of difficult-to-imitate commercial production methods and industrial knowledge assets [40].It includes the intangible assets as tacit knowledge and codified know-how, both of which are generated from technical and organizational aspects, which are protected or normed through the law of intellectual property, such as trade secrets, copyrights, and patents.Management expertise and other types of know-how can facilitate employees' research and development, facilitating the effective execution of sustainable solutions [10,38,41].The Employee Reaction Competency criterion involves the successful management of emergency events and immediate damage control when environmental pollution is caused during an operation.Employees' ability to manage contingency for the survival of an organization depends on how efficiently it can maintain the organizational reputation and gain a market share in particular industries.To achieve this objective, employees must be constantly prepared to prevent environmental pollution events during operations.Only employees with correct and updated knowledge, skills, and acceptable operational behaviors, and who practice them repeatedly to improve reaction ability, make an appreciable difference in resolving a crisis in their companies.Therefore, effective employee training is a critical component of Employee Reaction Competency in an organization's strategy [42].The competence of employees in managing pollution emergency occurrences is crucial in Employee Reaction Competency [43,79] (Table 2).Net Profit Ratio (NPR) Current period, net profit/revenue income [11,68] Note: The shade is to distinguish the Dimensions, criteria for reader easier to read.Resource: The results of the literature review.

Internal Business Processes
Govindan et al., 2016 [10] reported that "stakeholders and competitive priorities drive profit and non-profit organizations towards the implementation of sustainability-related measures in their internal operations and in their supply chains planning".Internal Business Processes were related to supply chain activity, particularly in the fusion with production management.The Internal Business Processes dimension comprises Resource Material Consumption, Pollution Production Control, Waste Disposal Capability, and Environmental Management System [10,41,[47][48][49][50][51][52][53][54][55][56][57][58]83,84].The Resource Material Consumption criterion was developed with reference to the Euro map 60, offering a facilitative measurement strategy and benchmarking concept; for example, measurements of energy efficiency were performed under standardized conditions such as the use of comparable raw materials [50,51].Resource and raw material consumption were considered in the context of ecological protection during purchasing processes [10,41,[47][48][49]52].The Pollution Production Control criterion comprises command-and-control mechanisms applied to enforce companies' solutions for implementing cleaner production processes, such as changing production processes to reduce or eliminate the emission of cleaning and diluting pollutants.Environmental regulations were focused on pollutant damage control in the operational process, that is, on reparation and setting limits to harmful activities, end-of-pipe cleaning and diluting technologies, and other cleanup strategies [55].The average volume of air pollutants, waste liquids, solid wastes, and harmful materials released per day during manufacturing must be considered in pollution control [10,[53][54][55].The Waste Disposal Capability criterion comprises the highest standards in the European Union, such as those regarding landfills.Recycle collaboration firms have long been recognized for their role in influencing firms to re-consider their waste disposal options [83,84].If a TFT-LCD company plans to sell products to advanced countries, such as European Union members, the capability of the company to ensure safety and protect the environment through proper waste disposal is a crucial process that must be considered [10,[47][48][49]80].The Environmental Management System criterion comprises the environmental policy regarding basic requirements for a systematic approach to management, including the generic requirements of the international standard STN EN ISO 14001 and the eco-management and audit scheme (EMAS) environmental management systems [49].Environmental certifications, such as ISO 14000 and EMAS, environmental policies, planning environmental objectives, and verifying and environmental activities are crucial in business process operation [10,56,57] (Table 2).[59] reported that "sustainable supply chain management has received much attention from practitioners and scholars over the past decade owing to the significant attention given by consumers, profit and not-for-profit organizations, local communities, environmental legislation and regulation, and social and corporate responsibility".Environmental concepts have currently attracted attention because of the pressure generated by the competition in the market for a green image through government regulations, non-governmental organizations, customer demands, diffusion by the media, and so on [85][86][87][88][89].The Corporation Green Image criterion comprises customers' awareness that a company does not have a green image, thus preventing the company from selling its products.Integrating green supply chain management practices requires cooperation at all levels, both internal (from top management, and engineers to laborers) and external (from distributors and vendors to sellers) [81].The market reputation of an enterprise and environmental protection image presented to the public are crucial [59][60][61][62][63].As such, the importance of sustainability is increasing, and modern enterprises are focusing on a green image.A corporate image shaped by an environmentally conscious mission is the preferred marketing strategy for modern enterprises.The Green Logistic Management criterion comprises product transportation, packaging, and delivery from the factory to the consumer.Such activities are associated with an increase in the total environmental footprint.In some consumer electrical product supply chains, greenhouse gasses are emitted because of the transportation of total emissions over the product life cycle [63].Green vehicles used for transporting products to customers provide a type of green solution in operational management [47,54,59].The Consumer Environmental Awareness criterion comprises the major influences of consumers' selection of a green product or discount in price, operating price benefits (such as reduced electricity bills), green promotions, green features of a product, and environmental awareness related to a product [59,[64][65][66].The Local Market Regulations criterion comprises regulations by public policy organizations on the content of environmental notifications that restrict consumer choices in a local market [59,67].Environmental notifications refer to changes in local governmental regulations [82] (Table 2).

Financial
Financial goals and measurements are common to all BSC dimensions.The BSC considers the financial dimension to be a measure of the financial performance that is a reflection of the past within BSC's own existence.Financial goals and profitability-related metrics that are commonly employed in recent years are operating income, return on capital use, and added economic value.Financial goals may be to create rapid revenue growth or cash flow.However, a compromise using eco-friendly solutions is still required for sustainable development in enterprises.A visionary enterprise should consider the long-term plan, sustainability, short-term plan, and net-income simultaneously.This implies that the enterprise should devise a sustainability plan, balance eco-friendliness and production efficiency, and investigate the efficiency of the multiple effects of technological change, productivity growth, separability, aggregation, and new generation or substitution facility possibilities.The financial dimension comprises Sustainable, Recycling cost, Recovery, Reuse Value and Net Profit Ratio aspects [11,48,60,[68][69][70][71][72][73][74][75]90].The Sustainable Capital Input criterion comprises capital investment requirements for inspecting, re-manufacturing, recycling equipment, transport facilities, and infrastructure, including information technology infrastructure related to sustainable development [48,69,70,90].The Recycling Cost criterion comprises the capital cost of augmentations that are factored into the daily recycling cost per unit of waste and the recycling facilities that are the most favored for capacity increase [76].All types of costs related to recycling resources applied to operational processes tend to clear production [70,77].The Recovery and Reuse Value criterion considers costs related to the direct reuse of the surplus material recycled during the production process estimation of activity costs for cleaning, inspection, and testing and the reuse value of a plant's waste recovery resources [60,[72][73][74][75].The Net Profit Ratio (NPR) criterion comprises the relationship between the most significant calculated rates and the net profits of the company during the current period (net profit/revenue income) [11,68] (Table 2).

Method: DANP-V Model
This study used a hybrid modified MADM model combined with the DEMATEL technique to construct the INRM (Figures 2-4).The influential weights (IWs) of the DANP were calculated to confirm the causes and effects associated with each perspective and criterion in the existing relationships and to measure and evaluate the importance of each factor.The DANP-V model is a hybrid modified MADM model, also called the modified VIKOR-DANP model [27], developed on the basis of the aforementioned studies, and it is appropriate for assessing and improving business competitiveness [91] and bridging the performance gaps in each criterion.The dimensions and criteria were generated using the DEMATEL technique to construct the INRM and determine the IWs through a procedure of the DANP, which is a hybrid adopting the basic ANP concept by Saaty [84] and using the DEMATEL technique (Equations ( 7)-( 12)).The global weights can also be obtained using the influence relation matrix through these hybrid methods [28].Because the influence level is a characteristic of the weights, this study referred to these as the IWs of DANP [28][29][30][31][32][33][92][93][94][95].The modified VIKOR method was then used to calculate the ratio of the gap between the real performance kj f and the aspiration level such that the calculations of the IWs are integrated among various programs.Finally, the problems of each program were determined through the modified VIKOR method (If the gap value of a criterion is larger, the problems are more acute and should receive priority for improvement).The INRM was applied to determine the crux criterion through path analysis of influential directions among criteria to identify the cause of the problem and to determine how to formulate improvement strategies through systematics [29] to avoid the "stop-gap piecemeal practice" [30,31,33,[92][93][94][95].
In this study, the DANP-V model was executed in four phases [31]: the first phase was a pretest of the measures in the framework, the second phase established the comprehensive, influential network diagram, the third phase entailed determining the correct training value of IWs, and the fourth phase involved programs for developing improvement strategies, as shown in Figure 2.

Method: DANP-V Model
This study used a hybrid modified MADM model combined with the DEMATEL technique to construct the INRM (Figures 2-4).The influential weights (IWs) of the DANP were calculated to confirm the causes and effects associated with each perspective and criterion in the existing relationships and to measure and evaluate the importance of each factor.The DANP-V model is a hybrid modified MADM model, also called the modified VIKOR-DANP model [27], developed on the basis of the aforementioned studies, and it is appropriate for assessing and improving business competitiveness [91] and bridging the performance gaps in each criterion.The dimensions and criteria were generated using the DEMATEL technique to construct the INRM and determine the IWs through a procedure of the DANP, which is a hybrid adopting the basic ANP concept by Saaty [84] and using the DEMATEL technique (Equations ( 7)-( 12)).The global weights can also be obtained using the influence relation matrix through these hybrid methods [28].Because the influence level is a characteristic of the weights, this study referred to these as the IWs of DANP [28][29][30][31][32][33][92][93][94][95].The modified VIKOR method was then used to calculate the ratio of the gap between the real performance f kj and the aspiration level f aspired j in the alternative k pk " 1, 2, ..., Kq of criterion j pj " 1, 2, ..., nq; that is r kj " p| f aspired j ´fkj |q{p| f aspired j ´f worst j |q such that the calculations of the IWs are integrated among various programs.Finally, the problems of each program were determined through the modified VIKOR method (If the gap value of a criterion is larger, the problems are more acute and should receive priority for improvement).The INRM was applied to determine the crux criterion through path analysis of influential directions among criteria to identify the cause of the problem and to determine how to formulate improvement strategies through systematics [29] to avoid the "stop-gap piecemeal practice" [30,31,33,[92][93][94][95].
In this study, the DANP-V model was executed in four phases [31]: the first phase was a pretest of the measures in the framework, the second phase established the comprehensive, influential network diagram, the third phase entailed determining the correct training value of IWs, and the fourth phase involved programs for developing improvement strategies, as shown in Figure 2.
The main purpose of the first phase was to determine the degree of influence of each criterion on the research goal on the basis of experience of experts to ensure the reliability of the overall study.A questionnaire was designed and divided into two parts: the first part applied a 5-point Likert scale on which some of the experts evaluated the importance of each criterion; the second part of the questionnaire comprised open-answer items for enhancing the quality of the questionnaire through experts' sharing of their experience and modified the criteria and connotations.The expert questionnaires were used to survey senior practitioners of sustainable development in the TFT-LCD industry.The selected criteria were identified by experts in fields relevant to the TFT-LCD industry.An appointment was made in advance, and the experts were asked when they could complete the expert questionnaires; the survey was then conducted.The personal information of the experts interviewed was kept confidential in accordance with the principles of research ethics.Only the relevant basic information required for this survey was disclosed.All experts had considerable practical experience, with average years of work of over 12 years within the TFT-LCD industry; they were serving as persons in charge of sustainable development duties.The experts had received Ph.D. and Master's degrees relevant to the field as academia, industry, and government representatives.The second phase entailed establishing a comprehensive INRM through a systematic thought process.This phase of the survey involved a pair of experts who compared the degree of influence between the criterion value, aggregated it into a matrix that was initialized, and then by using the DEMATEL technique calculated the dimensions ( D T ) and criteria ( C T ) of the total influence relation matrix [83].The INRM was constructed on the basis of the influence intensity among dimensions ( D T ) and criteria ( C T ) and then overlapped it; the overall effect diagram (see INRM in Figure 4) was then completed.
The third phase involved the DEMATEL technique, which is detailed as follows: Step 1: Calculate the direct influence relation average matrix G .Assume the number of experts to be H and number of criteria to be n.The pairwise comparisons between any two criteria are assigned and denoted by an integer score of 0, 1, 2, 3, or 4, representing the range from "absolutely no influence (0)" to "very high influence (4)" according to natural language (e.g., semantics) and denoting the degree to which each criterion i affects each criterion j. ).Therefore, an nn  average matrix G of all experts given can be The second phase entailed establishing a comprehensive INRM through a systematic thought process.This phase of the survey involved a pair of experts who compared the degree of influence between the criterion value, aggregated it into a matrix that was initialized, and then by using the DEMATEL technique calculated the dimensions (T D ) and criteria (T C ) of the total influence relation matrix [83].The INRM was constructed on the basis of the influence intensity among dimensions (T D ) and criteria (T C ) and then overlapped it; the overall effect diagram (see INRM in Figure 4) was then completed.
The third phase involved the DEMATEL technique, which is detailed as follows: Step 1: Calculate the direct influence relation average matrix G. Assume the number of experts to be H and number of criteria to be n.The pairwise comparisons between any two criteria are assigned and denoted by an integer score of 0, 1, 2, 3, or 4, representing the range from "absolutely no influence (0)" to "very high influence (4)" according to natural language (e.g., semantics) and denoting the degree to which each criterion i affects each criterion j.The answers by each expert form a n ˆn nonnegative matrix X h " rx h ij s nˆn , h " 1, 2, ..., H, where X 1 , ..., X h , ..., X H are the answer matrices of the H experts with practical experience, and the elements of X h are denoted by x h ij from expert H (h = 1, 2,||, H).Therefore, an n ˆn average matrix G of all experts given can be constructed using Equation (1).
The average score of the H experts is The average matrix is called the initial direct relation matrix G and represents the degree of influence that one criterion exerts on another criterion as well as the degree of influence it receives from other criteria.
Step 2: Normalize the initial direct influence relation matrix.The normalized initial direct influence relation matrix D is acquired by normalizing the average matrix G.The matrix D is easily derived from Equations ( 2) and ( 3), in which all principal diagonal criteria are equal to 0: s " max Step 3: Obtain the total influence-relation matrix T. A continual decrease in the indirect effects of problems was observed with the increasing powers of the matrix D, for example, D 2 , D 3 , . . ., D 8 , and lim qÑ8 D q " r0s nˆn , for lim qÑ8 pI `D `D2 `. . .`Dq q " pI ´Dq ´1, where I is an n ˆn unit matrix.The total influence relation matrix T is an n ˆn matrix, and is defined by T " " t ij ‰ nˆn , i, j " 1, 2, . . ., n as shown in Equation (4).
Using the total influence relation matrix T " rt ij s nˆn , (T c " rt ij s nˆn|măn, ř m j"1 m j "n by criteria and T D " rt ij s mˆm by dimensions), the INRM can be acquired according to Equation (4).Equations ( 5) and ( 6) are used to generate each row sum and column sum in the matrix T " rt ij s nˆn , respectively.
r " pr j q nˆ1 " pr j q 1 1ˆn " " pr 1 , ..., r j , ..., r n q 1 (6) where d i is the row sum in the total influence relation matrix T " rt ij s nˆn , which represents the total effects (both direct and indirect) of a criterion or perspective i on all other criteria or perspectives . Similarly, r j is the column sum in the total influence relation matrix T " rt ij s nˆn , which represents the total effects (both direct and indirect) that a criterion or perspective j receives from all other criteria or perspectives "ř n i"1 t ij ‰ 1 1ˆn .Therefore, when i = j, pd i `ri q offers an index of the strength of the total influences given and received; that is, pd i `ri q indicates the degree of importance of the criterion or perspective i in the system.In addition, pd i ´ri q provides an index of the degree of the cause of total influence.If pd i ´ri q is positive, then the criterion or perspective i is a net causer, and if pd i ´ri q is negative, then the criterion or perspective i is a net receiver.The third phase involved assigning weights to training data.The total influence relation matrix (T D and T C ) of the second phase was determined using the basic ANP concept [79,84], and the proposed training processes affected the accuracy of the values; this method is called the DANP.
The IWs can be obtained through the DANP as follows (see Appendix B.3 DEMATEL-based technique to determine the IWs in DANP (DEMATEL-based ANP): Step 1: Total influence relation matrix T C .The DEMATEL technique is used to construct the total influence relation matrix T C from each perspective (dimension or cluster), with different degrees of influence relation for the criteria, as shown in Equation (7), where ř m j"1 m j " n, m ă n, and T ij c as an m i ˆmj matrix.(7) where D m is the mth cluster, c mm is the mth criterion in the mth dimension, and T ij c is a submatrix of the influence relation obtained from a comparison of the criteria of the ith and jth dimensions.In addition, if the ith dimension has no influence on the jth dimension, then submatrix T ij c " r0s shows independence (no influence relation) in every other criterion.
Step 2: Form an un-weighted super-matrix W. Normalize the total influence relation matrix T C as shown in Equation (8).Step 3: Obtain the weighted super-matrix W α .The total influence-relation matrix T D of dimensions is derived according to the DEMATEL technique, as presented as following matrix.
The normalized T α D , unweighted super-matrix W (shown as Equation ( 9)), and weighted super-matrix W α (normalized super-matrix) can be easily obtained through Equation (11), where t αD ij is a scalar and ř m j"1 m j " n.The normalized total influence-relation matrix D


T of dimensions can be obtained through the total influence-relation matrix , as shown in Equation (10).
The normalized D  T , unweighted super-matrix W (shown as Equation ( 9)), and weighted super-matrix  W (normalized super-matrix) can be easily obtained through Equation (11), where Step 4: Calculate the limit of the super-matrix In brief, according to the aforementioned process, the INRM and IWs can be obtained and can be used in resolving the problem of interdependence and feedback to develop the most effective systematic improvement strategies for reducing the gaps in criterion performance, such that all criteria facilitate achievement of the aspiration level.
The fourth phase entailed developing the most effective sustainable improvement strategies for enhancing competitive advantages in the TFT-LCD industry.The gaps can be calculated using the modified VIKOR method, which entails considering each absolute distance between performance values and adopting the aspiration level and worst value, called "aspired-worst", as benchmarks [80-83,85,93-96], rather than using the relative distance and adopting positive and negative ideal points, called "max-min", as the benchmarks as in the conventional VIKOR method [86][87][88][93][94][95][96].Accordingly, the phase involved solving problems through the modified VIKOR programs in the (11) Step 4: Calculate the limit of the super-matrix W α .Limit the weighted super-matrix by raising it to the zth power until it has converged and become a stable super-matrix.The global priority vectors are obtained, which are called the IWs of the DANP, such as lim zÑ8 pW α q z , where z represents any number.
In brief, according to the aforementioned process, the INRM and IWs can be obtained and can be used in resolving the problem of interdependence and feedback to develop the most effective systematic improvement strategies for reducing the gaps in criterion performance, such that all criteria facilitate achievement of the aspiration level.
The fourth phase entailed developing the most effective sustainable improvement strategies for enhancing competitive advantages in the TFT-LCD industry.The gaps can be calculated using the modified VIKOR method, which entails considering each absolute distance between performance values and adopting the aspiration level and worst value, called "aspired-worst", as benchmarks [80][81][82][83]85,[93][94][95][96], rather than using the relative distance and adopting positive and negative ideal points, called "max-min", as the benchmarks as in the conventional VIKOR method [86][87][88][93][94][95][96].Accordingly, the phase involved solving problems through the modified VIKOR programs in the problem criteria; the INRM was then used to identify the crux of the criteria (the criteria on the impact of the problem criteria).The conventional and modified VIKOR methods are compared to demonstrate the concept of continual improvement in sustainability.Finally, the reasons for the impact of the criteria through the crux are elucidated for developing the most effective improvement strategies for reaching the aspiration level.
The fourth phase: The modified VIKOR method is described as follows: Step 1: Derive the positive and negative-ideal solutions for replacing the aspiration levels and worst value to fit the current real-world situation.Define the aspiration level f aspired j in the j criterion and worst value f worst j for all criteria j " 1, 2, ..., n, which can be converted from the conventional form into the modified form.
(1) The conventional approach for deriving the positive-and negative-ideal solutions as the benchmarks (max-min) is illustrated as follows.
(2) The modified approach for replacing the aspiration level and worst value as the benchmark ("aspired-worst") is shown as follows.Aspiration level: f aspired " p f aspired 1 , ..., f aspired j , ..., f aspired n q, where f aspired j is an aspiration level, called the most effective value; Worst values: f worst " p f worst 1 , ..., f worst j , ..., f worst n q, where f worst j is a worst value.In this study, performance scores ranging from 0 to 100 (very bad Ð 0, 10, 20, ..., 90, 100 Ñ very good) were used according to natural language (e.g., linguistic/semantic) in the questionnaire, therefore, the aspiration level takes the highest score of 100, and the worst value takes the value of 0. Hence, f aspired j " 100 is defined as the aspiration level and f worst j " 0 as the worst value; this can prevent "choosing the most effective option from a set of substandard options".In other words, it can prevent "picking the most effective apple from a barrel of rotten apples".
Step 2: Determine the mean group utility S k for the gap.S k can be calculated using Equation (12): where S k is defined as the normalized ratio of the distance to the aspiration level, which implies the synthesized gaps for the criteria; ´f worst j |q) of the distance to the aspiration level.The modified VIKOR method can be used for ranking and selecting alternatives and bridging performance gaps by evaluating all criteria, based on the INRM acquired through systematics, to avoid the "stop-gap piecemeal practice" and "pick the most effective apple from a barrel of rotten apples".Moreover, it can be used to solve any daily or single problem (i.e., only one problem, no other alternatives) for bridging the performance-gap by considering all perspectives (dimensions) and criteria [81].

Empirical Case: TFT-LCD Panel Companies in Taiwan
The proposed model was applied in this study to analyze a case and understand state-of-the-art practices of continuous improvement and sustainable development based on the continual enhancement of a company's competitiveness.Subsection 4.1 briefly describes the case, Subsection 4.2 explains analysis results, and Subsection 4.3 presents the discussion and implications based on the results.The objective of this study was to provide critical, balanced, and reasonable competitive advantages that enable a decision-maker to develop effective sustainable development strategies for bridging the gaps between the status quo and the aspiration level in each criterion through systematics.

Case Descriptions
The TFT-LCD panel industry is characterized by (1) high capital requirements, entrance barriers, and exit costs; (2) intensive technology and complicated production processes; (3) short product life cycles; (4) price sensitivity to market demand, supply, and economic cycles; (5) international division of labor; (6) high market concentration; (7) exhaustive structure, facilitating the creation of competitive advantages; (8) material costs constituting a high percentage of total costs; (9) high skilled labor circulation; and (10) highly concentrated ownership of domestic TFT-LCD panel firms [89].Companies A and I exist in the TFT-LCD industry in the duopoly market in Taiwan.Both face the same competition problems regarding sustainable development and profit orientation, because of customers' awareness of high sustainability provided by advanced countries.Moreover, they face competition with overseas companies with the same technology level and national resource support (e.g., South Korean competitors) or a raw material advantage (e.g., Japanese competitors).Because of the intense competition with the advanced countries, the effectiveness and efficiency of domestic companies' resource investment toward sustainable development should be emphasized in Taiwan.Therefore, understanding the practices of Companies A and I and determining their advantages in continuous improvement and sustainable development are crucial tasks for identifying integrated opportunities; newly identified opportunities are necessary for improving the duopoly market in Taiwan.
This study examined decision making in Taiwan's two leading TFT-LCD companies to identify the most effective performance evaluation model.The elements of the BSC pertaining to sustainable development in the TFT-LCD industry are summarized in Table 3. Companies A and I have four BSC dimensions of sustainable development in their operational practice and competitive advantages related to sustainability.A visionary enterprise should create long-term plans for continuous improvement and sustainable development.It should demonstrate sustainable competitiveness instead of concentrating only on "cost reduction" orientation.Table 3 provides a comparison of sustainable actions in the two major TFT-LCD corporations; several complementary items are available for continuous improvement and sustainable development in a competitive environment.These companies have an opportunity to cooperate with each other.However, the complementary items cannot be integrated directly because they affect each other.Moreover, establishing effective mutual cooperation between partners to create optimal synergy for continuous improvement and sustainable development is difficult.Therefore, this study considered the short-term survival strategy, cost reduction, long-term development, and resilience of the TFT-LCD companies combined with the BSC concept, balanced development measurements, and the ESG concept for continuous improvement and sustainable development planning, which are aspects required to establish such synergy.However, the interactions and interrelationships of criteria among the BSC dimensions confronting a dilemma of resource allocation in each company for engaging in the sustainability of short-and long-term decision making in a technology-based industry, particularly the TFT-LCD industry; this dilemma is associated with the realization of resource adequacy, even though advanced countries are facing an upswing of consumer awareness about environmental concerns.Therefore, resource integration efficiency is crucial for the future mutual development planning of the two TFT-LCD corporations.

Results
The new hybrid modified MADM method (Figures 2 and 3 and Equations ( 1)-( 15)) not only retains the original function plan evaluation, but also considers the relationships of interdependence among various criteria of sustainability competitive advantage for the TFT-LCD companies.An INRM (Figure 4) was constructed on the basis of the DEMATEL technique (phase 2 in Figure 2).The INRM illustrates networks of four BSC dimensions integrated with the sustainability concept and comprising 16 criteria for measurement.The pairwise comparison technique was used in the expert questionnaire, and the mean was then calculated as the integration of experts' opinions.The average initial direct influence matrix G ( 16 16  ) was obtained through pairwise comparisons, indicating the directions of the effects of the criteria on one another; moreover, the normalized direct influence relation matrix D was calculated using Equations ( 2) and (3).Equation ( 4) was then used to calculate the total influence matrix C T (Table 4), and Equation ( 7) was used to calculate the criteria and total influence matrix D T (Table 5) of each dimension.The sum of the total influence, i d and i r , received by each criterion and dimension were derived, as indicated by Equations ( 5) and ( 6), respectively.As shown in Tables 5 and 6, the two total influence matrices can be used to calculate the influences i i dr  and i i dr  exerted and received, respectively.The INRM was constructed to guide decision makers in improvement processes; it can be used for addressing the aspiration gaps and to avoid "stop-gap piecemeal practice".The average initial direct influence matrix G (16 ˆ16) was obtained through pairwise comparisons, indicating the directions of the effects of the criteria on one another; moreover, the normalized direct influence relation matrix D was calculated using Equations ( 2) and (3).Equation (4) was then used to calculate the total influence matrix T C (Table 4), and Equation ( 7) was used to calculate the criteria and total influence matrix T D (Table 5) of each dimension.The sum of the total influence, d i and r i , received by each criterion and dimension were derived, as indicated by Equations ( 5) and ( 6), respectively.As shown in Tables 5 and 6, the two total influence matrices can be used to calculate the influences d i `ri and d i ´ri exerted and received, respectively.The INRM was constructed to guide decision makers in improvement processes; it can be used for addressing the aspiration gaps and to avoid "stop-gap piecemeal practice".Note: The bold figures is to easily distinguish the "Dimensions" with "criteria" for readers shown as Table 6.
An examination of Table 6 shows that d i `ri of the Internal Business Processes (D 2 ) dimension is the index of dimensions with the highest strength of influence, the Customer (D 3 ) dimension has the second highest strength of influence, the Learning and Growth (D 1 ) dimension the third highest strength of influence, and the Financial (D 4 ) dimension has the fourth highest strength of influence.This implies that the Internal Business Process (D 2 ) dimension is the most sensitive.Moreover, d i ´ri showed that the characteristics of the Learning and Growth (D 1 ) and Customer (D 3 ) dimensions belong to the cause dimension, and those of the Internal Business Processes (D 2 ) and Financial (D 4 ) dimensions belong to the affected dimension.Association of d i ´ri has a significant positive value, implying that this dimension affects the other dimensions, suggesting that it should be a top priority for improvement.The characteristics of the Customer (D 3 ) dimension had the highest degree of impact in a relationship that affected other dimensions.
The INRM not only provides valuable information for making accurate decisions but also provides an initial tool for demonstrating that the degrees of influence differ among the dimensions and criteria.This study used crucial and influential criteria as critical factors to bridge the maximal gap in competitiveness.The Customer (D 3 ) dimension can influence the Learning and Growth (D 1 ), Internal Business Processes (D 2 ), and Financial (D 4 ) dimensions.The Learning and Growth (D 1 ) dimensions can influence Internal Business Processes (D 2 ) and Financial (D 4 ) dimensions.Finally, the Financial (D 4 ) dimension can also impact the Internal Business Processes (D 2 ) dimension interrelationship.This implies that the Customer (D 3 ) dimension is the origin of influence.Thus, when the decision-maker seeks to continually improve strategies, the Customer (D 3 ) dimension must be considered.The rules can be applied to the remaining criteria within each individual dimension.In the third phase, the relationships between the criteria and the dimensions of IWs were trained using the DANP model.Therefore, the sustainable BSC model had to be structured using the DANP to acquire the weight of each criterion.The unweighted super-matrix based on the DANP (Table 7) was constructed using Equations ( 8)- (11).The weighted super-matrix (Table 8) was constructed using Equations ( 12)-( 14) to reflect the degrees of influence exerted by various dimensions.The limiting power of the weighted super-matrix was used to reach a long-term stable condition.Each row in Table 9 represents the weights of various criteria (global weights).In the BSC structure, IWs, of the Learning and Growth (D1), Internal Business Processes (D2), Customer (D3), Financial (D4) dimensions were 0.245, 0.276, 0.243 and 0.237, respectively, as shown in Table 10.For TFT-LCD corporations that intend to improve the sustainable development status substantially, the IWs ranking is D2, D1, D3, and D4; this ranking provides a greater understanding of the effect of change.The solution obtained through the DANP method can be applied to the VIKOR method by considering each criterion performance score.In the third phase, the relationships between the criteria and the dimensions of IWs were trained using the DANP model.Therefore, the sustainable BSC model had to be structured using the DANP to acquire the weight of each criterion.The unweighted super-matrix based on the DANP (Table 7) was constructed using Equations ( 8)- (11).The weighted super-matrix (Table 8) was constructed using Equations ( 12)-( 14) to reflect the degrees of influence exerted by various dimensions.The limiting power of the weighted super-matrix was used to reach a long-term stable condition.Each row in Table 9 represents the weights of various criteria (global weights).In the BSC structure, IWs, of the Learning and Growth (D 1 ), Internal Business Processes (D 2 ), Customer (D 3 ), Financial (D 4 ) dimensions were 0.245, 0.276, 0.243 and 0.237, respectively, as shown in Table 10.For TFT-LCD corporations that intend to improve the sustainable development status substantially, the IWs ranking is D 2 , D 1 , D 3 , and D 4 ; this ranking provides a greater understanding of the effect of change.The solution obtained through the DANP method can be applied to the VIKOR method by considering each criterion performance score.Note: * represents the advantage item and parentheses ( ) denotes the priority ranking.The bold figures is to easily distinguish the "Dimensions" with "criteria" for readers shown as Table 10.
In the fourth phase, the modified VIKOR method integrated the IWs of multiple criteria (called DANP-V) to evaluate performance comprehensively.The score of each criterion and total average gap (S k ) for creating sustainable competence was acquired using the global weights obtained from the DANP (IWs) to bridge the gap pr kj " | f aspired j ´fkj |{| f aspired j ´f worst j |q.The total average performance was determined according to the value, as shown in Table 10.Decision makers can determine problem-solving points according to performance values, either for each perspective or for the perspective of the use of criteria as a basis of ranking.Table 10 presents the performance values (sorted from highest to lowest) and aspiration gap values (sorted from lowest to highest) for the 16 criteria.
The performance of Company I is generally higher than that of Company A in Taiwan.Specifically, three dimensions of Company I are superior to those of Company A: Learning and Growth (D 1 ), Internal Business Processes (D 2 ), and Financial (D 4 ).However, the Customer (D 3 ) dimension of Company A is superior to that of Company I.For both companies, the widest gap was observed for the Financial (D 4 ) dimension.In Company A, the gap between the current and aspiration performance levels is similar in the Learning and Growth (D 1 ), Internal Business Processes (D 2 ), and Customer (D 3 ) dimensions.In Company I, the performance of the Internal Business Processes (D 2 ), Learning and Growth (D 1 ), and Customer (D 3 ) dimension is higher than that of the Financial (D 4 ) dimensions.

Discussions and Implications
The aspiration level concept was applied to bridge the gaps in each company and to construct a platform of mutual relationships of criteria and dimensions from a general perspective for grasping and eliminating the influence relationships of different organizational characteristics (such as the experts' conscious preference and the effects of organizational culture).The TFT-LCD industry is knowledge-intensive and highly competitive; therefore, companies require adequate funding for sustainability.The sustainability resource input for organizational development is currently a major problem.However, the companies in the industry do not mutually execute the long-term sustainable development plan, because of the role of market competition.The managers of each company are not involved in cooperation and the impact of sustainability.Therefore, the concept of balance development is not applied further.Balanced development lacks a clear direction to facilitate decision making and simultaneous consideration of multiple criteria.The results of this study can help solve the problem, as shown by the INRM of total influence relationships in Figure 4. DANP-V model analysis can be applied to identify sustainable development strategies, and the results of such an analysis reveal sustainable development strategies that the Taiwanese TFT-LCD panel corporations can employ to create a continual competitive advantage.Implications of competition and coopetition strategies of Companies A and I are discussed as follows, according the results in Table 10.

Status Quo of Sustainable Development Strategy of Company A
Company A is a major TFT-LCD firm in the industry, existing with Company I in the duopoly market in Taiwan.Company A was established in 1998 and specializes in manufacturing TFT-LCD products and various major applications such as notebook computer displays, desktop computer monitors, and digital television screens.Company A is a professional supplier of TFT-LCD panels and solar solutions; it is dedicated not only to product innovation but also to the core values of integrity and introspection, caring and contribution, execution and excellence, and passion and professionalism for sustainable development.It sincerely seeks to collaborate with partners to protect the environment and progress toward the goal of sustainability.Before 2011, this company relied on cost reduction as a profitable solution to maintain a competitive advantage.In 2013, the CEO of Company I, in response to the consumer trends of advanced countries, observed that the deterioration of the living environment is a common challenge: enterprises should use their capacity to reduce the environmental impact of the production process and product to attain sustainable development within the global environment.The responsibility of eco-friendliness and low carbon emissions in the local environment is the vision of Company I's developed guidelines.

Aspiration Level of Sustainable Development Strategy of Company
The manager of each plant reminded employees that "For our next generation, they as entrepreneurs must show an active contribution toward energy conservation and emissions reduction.Every small effort should not be missed to ensure the survival of our global environment for all our offspring!"The processes from raw material inputs to the output of products must not harm the environment.

Implications of Results
According to an analysis of the financial criteria or sustainable investment, Company A faces an insufficient Net Profit Ratio (NPR) (C 44 ), while Company I's problem is ineffective Sustainable Capital Input (C 41 ).Therefore, the companies can cooperate to form a financial team.Company A can share its investment experience regarding sustainable capital input to assist Company I in improving its sustainable capital input efficiency.Company I should also invest more capital in sustainable development; moreover, it should identify common solutions exclusive of financial efficiency in the short-term strategy.
In its mid-term continually sustainable development strategy planning, Company A can formulate a standard operation process as a reference for Company I.Moreover, employees of both companies must enhance their weakest aspects.The Employee Reaction Competency (C 14 ) criterion indicates that Company A must improve training to reach or exceed Company I's standard.The Sustainable Management Know-how (C 13 ) criterion indicates that Company I must gain knowledge from the consultants or practitioners of Company A.
In the long-term strategy plan, consumers are expected to emulate the advanced countries' trend of eco-friendliness.Although Company A has the potential to conform to this trend, it still requires long-term financial support for sustaining the competencies to maintain continually competitive advantages.Conversely, Company I can earn more profit and employ cutting-edge equipment.However, its employees believe that they have lower ability levels than those of the employees of Company A. Therefore, Companies A and I should cooperate with each other to achieve their desired goals.Systematic thinking points that can be formulated in the cooperation between Companies A and I include improving their customers' perception gaps, defining a strategic improvement roadmap, and combining business and environmental concerns to meet local market regulations with efficient operations.

Conclusions
This study successfully integrates sustainability and competitive advantage concepts to formulate the most effective allocation strategies for natural resources.This study considers sustainable competitive advantage as an aspiration level.The transmission characteristics of the TFT-LCD panel industry development guidelines are thus integrated with BSC concepts of environmental responsibility to establish an assessment framework.Through the integration of sustainability, competitive advantage, and BSC, the original four BSC dimensions and characteristics of the TFT-LCD panel industry are consolidated with environmental concepts and condensed into the 16 indicators of the DANP-V model of sustainable competitive advantage.The DANP-V model is refined and debugged and then used to conduct a case study on two Taiwanese TFT-LCD manufacturers, namely Companies A and I.
The findings of the case study are outlined as follows: (1) Companies A and I show only a small performance gap; the overall performance of Company I (79.66) is higher than that of Company A (79.05), and the performance of Company I is superior to that of Company A in three of four dimensions, namely Learning and Growth (D 1 ), Internal Business Processes (D 2 ), and Financial (D 4 ).However, in the Customer (D 3 ) dimension, Company A is superior to Company I. Furthermore, for both companies, the performance levels on each dimension demonstrate slight advantages and disadvantages.Even though programs do not have easily distinguishable characteristics, the DANP-V method avoids the need to "pick the most effective apple from a barrel of rotten apples".
(2) The proposed method can identify performance gaps, explain those gaps according to the INRM, and achieve lasting solutions that are not limited by "stop-gap piecemeal practices".Currently, both companies must improve their performance in the financial dimension to achieve sustainable development and sustainable competitive advantages; cooperation is thus proposed to improve both companies.Nevertheless, the two companies present different criteria gaps.Hence, different strategies are required to improve these two companies; the heterogeneity of the backgrounds and current states of the companies are detailed in Sections 4.3.1-4.3.4,respectively.
Because the TFT-LCD industry has complex processes, a duopoly market, and special technology patterns that induce environmental effects in Taiwan, this and follow-up studies must conform to the limitations of the industry.Follow-up studies may be designed to address loosely defined questions.Because the small-and medium-sized firms of the TFT-LCD panel industry are crucial to Taiwan, future research may focus on challenges specific to Taiwan.However, international manufacturers may use the DANP-V method to examine TFT-LCD manufacturing outside Taiwan.The present research establishes a set of indicators of sustainable competitive advantage for Taiwan.Multinational manufacturers may find that the present indicators are not suitable for other countries.
The special characteristics of Taiwan's TFT-LCD industry include its complex processes, special environmental effects, and domestic and overseas duopoly markets.Future research may propose a newly modified hybrid of multi-attribute decision making (MADM) and multi-objective decision making (MODM); such research may propose novel improvement strategies to reach aspiration levels.Classical MODM is based on a fixed set of conditions or resources, called the "decision space", and seeks a Pareto-optimal solution in a fixed feasible region, called the "objective space".Moreover, future research may propose models with changeable decision spaces and objective spaces to implement and enforce sustainable improvement without being limited to Pareto optimality.Achieving an aspiration level is more useful than achieving Pareto optimality; new MADM solutions may enhance manufacturers' performance levels for aspiration levels in criteria, dimensions, innovation, and creativity.This new thinking in changeable space programming may help decision makers to achieve win-win planning and to achieve desired aspiration levels that are preferable to Pareto-optimal solutions and ideal points [96,[99][100][101][102]. where f j " max k t f kj |k " 1, 2, ..., Ku and f j " min k t f kj |k " 1, 2, ..., Ku form the traditional approach.
These equations are then rewritten to replace "max-min" with "aspired-worst" as follows: The compromise solution min k L p k shows that the synthesized and integrated gap is the minimum.Consequently, it is ranked and selected, and it is improved, so that its value is sufficiently close to the aspirational level.In addition, the group utility (called the average gap or average degree of regret) is emphasized when the value of p is low (such as p " 1); however, if p is infinite (i.e., p " 8), then the individual maximal regrets and gaps gain prominence in prior improvements.In other words, in the basic DANP-modified VIKOR method, the solution is shown by minimizing the average gap; however, min k Q k stresses selecting the kth minimum of the maximal individual regrets and gaps (shown by the maximal gap for prior improvement).The compromise-ranking/selection and DANP-modified VIKOR improvement methods follow the steps in the manuscript.

Figure 1 .
Figure 1.Linguistic and range of importance level.

Figure 1 .
Figure 1.Linguistic and range of importance level.
Sustainability 2016, 8, 646 9 of 31 practical experience, with average years of work of over 12 years within the TFT-LCD industry; they were serving as persons in charge of sustainable development duties.The experts had received Ph.D. and Master's degrees relevant to the field as academia, industry, and government representatives.

Figure 2 .
Figure 2. Procedures of the new MADM model for achieving the best effectiveness of sustainable improvement strategies.

Figure 2 .
Figure 2. Procedures of the new MADM model for achieving the best effectiveness of sustainable improvement strategies.

Sustainability 2016, 8 , 646 11 of 31 Step 1 :D
Total influence relation matrix C T .The DEMATEL technique is used to construct the total influence relation matrix C T from each perspective (dimension or cluster), with different degrees of influence relation for the criteria, as shown in Equation (7), where is the mth cluster, mm c is the mth criterion in the mth dimension, and ij c T is a submatrix of the influence relation obtained from a comparison of the criteria of the ith and jth dimensions.In addition, if the ith dimension has no influence on the jth dimension, then submatrix influence relation) in every other criterion.Step 2: Form an un-weighted super-matrix W . Normalize the total influence relation matrix C T as shown in Equation (8).

TT
denotes the normalized total influence relation matrix.Similarly, mm c  T can be obtained.According to pairwise comparisons with the criteria and the basic concept of the ANP, the un-weighted super-matrix W can be obtained by transposing the normalized influence-relation matrix C (basic ANP concept in the form of un-weighted supermatrix; see Appendix B.1 AHP and B2.ANP) by dimensions (clusters); that is, shown in Equation (9).

Step 3 :
Obtain the weighted super-matrix  W .The total influence-relation matrix D T of dimensions is derived according to the DEMATEL technique, as presented as following matrix.

Sustainability 2016, 8 , 646 11 of 31 Step 1 :D
Total influence relation matrix C T .The DEMATEL technique is used to construct the total influence relation matrix C T from each perspective (dimension or cluster), with different degrees of influence relation for the criteria, as shown in Equation (7), where is the mth cluster, mm c is the mth criterion in the mth dimension, and ij c T is a submatrix of the influence relation obtained from a comparison of the criteria of the ith and jth dimensions.In addition, if the ith dimension has no influence on the jth dimension, then submatrix influence relation) in every other criterion.Step 2: Form an un-weighted super-matrix W . Normalize the total influence relation matrix C T as shown in Equation (8).

TT
denotes the normalized total influence relation matrix.Similarly, mm c  T can be obtained.According to pairwise comparisons with the criteria and the basic concept of the ANP, the un-weighted super-matrix W can be obtained by transposing the normalized influence-relation matrix C (basic ANP concept in the form of un-weighted supermatrix; see Appendix B.1 AHP and B2.ANP) by dimensions (clusters); that is, shown in Equation (9).

Step 3 :
Obtain the weighted super-matrix  W .The total influence-relation matrix D T of dimensions is derived according to the DEMATEL technique, as presented as following matrix.
C denotes the normalized total influence relation matrix.Similarly, T αmm c can be obtained.According to pairwise comparisons with the criteria and the basic concept of the ANP, the un-weighted super-matrix W can be obtained by transposing the normalized influence-relation matrix T α C (basic ANP concept in the form of un-weighted supermatrix; see Appendix B.1 AHP and B.2. ANP) by dimensions (clusters); that is, W " pT α C q 1 , as shown in Equation (9).

T
denotes the normalized total influence relation matrix.Similarly, mm c  T can be obtained.According to pairwise comparisons with the criteria and the basic concept of the ANP, the un-weighted super-matrix W can be obtained by transposing the normalized influence-relation matrix C  T (basic ANP concept in the form of un-weighted supermatrix; see Appendix B.1 AHP and B2.ANP) by dimensions (clusters); that is, shown in Equation (9).

Step 3 :
Obtain the weighted super-matrix  W .The total influence-relation matrix D T of dimensions is derived according to the DEMATEL technique, as presented as following matrix.

W.
Limit the weighted super-matrix by raising it to the zth power until it has converged and become a stable super-matrix.The global priority vectors are obtained, which are called the IWs of the DANP, such as lim ( w j indicates the IWs of the criteria obtained from the DANP (called DANP-V, see Appendix B.4 Modified VIKOR; and r kj indicates the normalized gap (shown as r kj " p| f aspired j ´fkj |q{p| f aspired j

Figure 3 .
Figure 3. Procedures of the new hybrid MADM (multiple attribute decision-making) for effective sustainable improvement strategies that enhance competitive advantages (in the TFT-LCD industry).

Figure 3 .
Figure 3. Procedures of the new hybrid MADM (multiple attribute decision-making) for effective sustainable improvement strategies that enhance competitive advantages (in the TFT-LCD industry).

Figure 4 .
Figure 4.The INRM (influential network relation map) of total influence relationships.

Figure 4 .
Figure 4.The INRM (influential network relation map) of total influence relationships.
A Company A was compared with Company I regarding four BSC dimensions: Company A had a comparative advantage in the Customer (D 3 ) dimension, particularly in the Corporation Green Image (C 31 ) criterion.Within Company A, gaps were observed in the Financial (D 4 ), Internal Business Processes (D 2 ), Learning and Growth (D 1 ), and Customer (D 3 ) dimensions.This implies that the decision-maker should invest resources in executing a sustainable development strategy for reaching an aspiration level that primarily considers finance, particularly the NPR (C 44 ).If this investment results in a major reduction in the NPR, the change in the plan does not succeed.The improvement priority routes of Company A have one direct path of the Customer (D 3 ) to the Financial (D 4 ) dimension and one indirect path of the Customer (D 3 ) to the Learning and Growth (D 1 ) and to the Financial (D 4 ) dimensions.This implies that the Customer (D 3 ) dimension and Corporation Green Image (C 31 ) and Local Market Regulations (C 34 ) criteria drive Company A's financial plan regarding the Recycling Costs (C 42 ) and Recovery and Reuse Value (C 43 ) criteria for sustainable development in the short term.In the long term, the Customer (D 3 ) dimension, Corporation Green Image (C 31 ) Local Market Regulations (C 34 ) criteria, and Learning and Growth (D 1 ) dimension gradually enhance the Sustainable Employees Education (C 11 ) criterion for Company A and influence them to select eco-friendly products for sustainable development.4.3.3.Status Quo of Sustainable Development Strategy of Company I Company I is a competitive TFT-LCD panel manufacturer that survived a merger period in 2011.

4. 3 . 4 .
Aspiration Level of Sustainable Development Strategy of Company I Company I was compared with Company A in four BSC dimensions: Company I exhibited comparative advantages in the Learning and Growth, Internal Business Processes, and Financial dimensions.The Employees Professional Sustainability (C 12 ) and Employee Reaction Competency (C 14 ) criteria in the Learning and Growth (D 1 ) dimension, Resource Material Consumption (C 21 ) and Environmental Management System (C 24 ) criteria in the Internal Business Processes (D 2 ) dimension, and Recovery and Reuse Value (C 43 ) and Net Profit Ratio (NPR) (C 44 ) criteria in the Financial (D 4 ) dimension were superior to those of Company A, for which gaps were observed in the Financial (D 4 ), Internal Business Processes (D 2 ), Learning and Growth (D 1 ), and Customer (D 3 ) dimensions.This implies that the decision-maker should invest in resources for executing a sustainable development strategy for reaching an aspiration level that primarily considers finance, particularly Sustainable Capital Input (C 41 ).If this investment results in a considerable expenditure for sustainable capital input, the change in the plan will not succeed.The improvement priority routes of Company I have two direct paths: one from the Customer (D 3 ) to the Financial (D 4 ) dimensions and another from the Customer (D 3 ) to the Internal Business Processes (D 2 ) dimensions.This implies that the Customers (D 3 ) dimension and Corporation Green Image (C 31 ) and Local Market Regulations (C 34 ) criteria drive Company A's financial plan regarding the Recycling Costs (C 42 ) and Recovery and Reuse Value (C 43 ) criteria for sustainable development.Moreover, the Customers (D 3 ) and Corporation Green Image (C 31 ) and Local Market Regulations (C 34 ) criteria also drive Company A's Internal Business Processes (D 2 ) dimension and the Waste Disposal Capability (C 23 ), Pollution Production Control (C 22 ), and Resource Material Consumption (C 21 ) criteria for sustainable development in the short term.

Table 1 .
[10,11,formance evaluation factors (criteria) for the pre-test questionnaire.The shade is to distinguish the Dimensions, criteria for reader easier to read.Resource:[10,11,.

Table 2 .
Descriptions of dimensions and criteria.
i1 {d i ¨¨¨t ij {d i ¨¨¨t im {d i m1 {d m ¨¨¨t mj {d m ¨¨¨t mm {d m (10)he normalized total influence-relation matrix T α D of dimensions can be obtained through the total influence-relation matrix T D divided by d i " ř m j"1 t ij , i " 1, 2, ..., m, as shown in Equation(10).t11{d 1 ¨¨¨t 1j {d 1 ¨¨¨t 1m {d 1 . . . . . . . . .t t

Table 3 .
The action of sustainable advantage comparison of Co.A and I.

Table 5 .
Total influence matrix DT : four Dimensions.

Table 5 .
Total influence matrix T D : four Dimensions.

Table 6 .
The sum of the influences given and received on the dimensions and criteria.

Table 7 .
Unweighted super-matrix W based on DANP for corporate governance elements.

11 C 12 C 13 C 14 C 21 C 22 C 23 C 24 C 31 C 32 C 33 C 34 C 41 C 42 C 43 C 44
: The shade is to distinguish the Dimensions, criteria for reader easier to read. Note

Table 8 .
Weighted super-matrix W α based on DANP for corporate governance elements.

Table 9 .
The stable matrix lim zÑ8 pW α q z of DANP for total factors.

11 C 12 C 13 C 14 C 21 C 22 C 23 C 24 C 31 C 32 C 33 C 34 C 41 C 42 C 43 C 44
Note: The shade is to distinguish the Dimensions, criteria for reader easier to read.

Table 10 .
Integrated index of corporate governance dimensions and criteria.