Special Issue "Applications of Mathematical Methods and Fuzzy Techniques in Decision Making"

A special issue of Mathematics (ISSN 2227-7390). This special issue belongs to the section "Fuzzy Set Theory".

Deadline for manuscript submissions: 31 October 2020.

Special Issue Editors

Prof. He-Yau Kang
Website
Guest Editor
Department of Industrial Engineering and Management, National Chin-Yi University, Taichuang, Taiwan
Interests: fuzzy theory; multi-objective programming; decision analysis; production management
Prof. Yen-Ting Chen
Website
Guest Editor
Department of Distribution Management, National Chin-Yi University, Taichuang, Taiwan
Interests: multiple-criteria decision analysis; marketing research; consumer behavior

Special Issue Information

Dear Colleagues,

The business environment is increasingly complex. Increasing amounts of numerical and non-numerical data can be collected with the help of advanced technology, which further generates useful information to help people make decisions. Imprecise and non-numerical information are quite critical and play important roles in making decisions. Fuzzy models or sets are mathematical methods that have been widely used to represent and interpret vague and uncertain data and information. They have been commonly applied to decision-making approaches such as the analytic network process and analytic hierarchy process. Meanwhile, there are other related mathematical methods that have been developed to deal with numerical data, such as integer programming and linear programming.

This Special Issue aims to gather a collection of research articles solving decision-making issues in various fields by applying fuzzy theory, linear programming, integer programming, mixed integer linear programming, multi-objective programming, algorithms, the analytic network process, the analytic hierarchy process, multiple-criteria decision analysis, and others.

Prof. He-Yau Kang
Prof. Yen-Ting Chen
Guest Editors

Manuscript Submission Information

Manuscripts should be submitted online at www.mdpi.com by registering and logging in to this website. Once you are registered, click here to go to the submission form. Manuscripts can be submitted until the deadline. All papers will be peer-reviewed. Accepted papers will be published continuously in the journal (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as short communications are invited. For planned papers, a title and short abstract (about 100 words) can be sent to the Editorial Office for announcement on this website.

Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are thoroughly refereed through a single-blind peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Mathematics is an international peer-reviewed open access monthly journal published by MDPI.

Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 1200 CHF (Swiss Francs). Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.

Published Papers (12 papers)

Order results
Result details
Select all
Export citation of selected articles as:

Research

Open AccessArticle
Adapting to PSTs’ Pedagogical Changes in Sustainable Mathematics Education through Flipped E-Learning: Ranking Its Criteria with MCDA/F-DEMATEL
Mathematics 2020, 8(5), 858; https://doi.org/10.3390/math8050858 - 25 May 2020
Abstract
Mathematics education for sustainable development is perceived as a core keystone, although its concept is related to its typical issue of ecology and economy in the educational realm. Thus, through current information and communication technology (ICT) impacts, altering pedagogy is highly conflicted in [...] Read more.
Mathematics education for sustainable development is perceived as a core keystone, although its concept is related to its typical issue of ecology and economy in the educational realm. Thus, through current information and communication technology (ICT) impacts, altering pedagogy is highly conflicted in teaching/learning mathematics. This research attempted to classify and investigate criteria for mathematics education with a multi-criteria decision analysis/fuzzy-decision-making trial and evaluation laboratory (MCDA/F-DEMATEL) method in the context of the system of flipped e-learning. In particular, the sustainable development of this research focus is in mathematics education in view of pre-service teachers (PSTs) adapting to their pedagogical changes. With the MCDA/F-DEMATEL, the main criteria and sub-criteria were selected after the consultation of a group of experts as follows: mathematics education, sustainable development, and flipped-e-learning technology criteria. Then, with fifteen sub-criteria, the definitive analyses results were gauged with simple additive weighting (SAW) along with their weight coefficients’ calculation, sensitivity analysis (iv scenarios), and a professional survey. The results described as the most important criteria for adapting to PSTs pedagogical changes in sustainable mathematical education through a flipped e-learning system were the flipped e-learning technology criteria (scenario i), with an 83% positive perception by professionals’ survey; among its sub-criteria, information technology usage contents (0.43) was the most affected variable, with a 42% very likely perception. Scenario iii, which was the slightly more preferred criteria than mathematics education, got a 78% positive perception from professionals’ survey. Therefore, this proposed methodology could be employed to validate the most important sustainable mathematics with flipped e-learning criteria for adapting to PSTs’ pedagogical changes with corresponding education contexts in more long-term learning. Full article
Show Figures

Figure 1

Open AccessArticle
Applying Fuzzy AHP and TOPSIS Method to Identify Key Organizational Capabilities
Mathematics 2020, 8(5), 836; https://doi.org/10.3390/math8050836 - 21 May 2020
Abstract
Core competency is the basis of promoting a competitive advantage for any organization; this study aims to establish an objective and systematic assessment model for companies to identify their capabilities. This model will not only assist companies in understanding their own capabilities but [...] Read more.
Core competency is the basis of promoting a competitive advantage for any organization; this study aims to establish an objective and systematic assessment model for companies to identify their capabilities. This model will not only assist companies in understanding their own capabilities but will also allow them to compare their performance with that of main competitors to strengthen their competitiveness. The analysis process involved a combination of the fuzzy analytic hierarchy process, fuzzy linguistic value, and the ideal and anti-ideal concept. An objective and systematic model was first developed, which underwent empirical analysis using data from the top three home delivery companies in Taiwan. It was found that “Basic organizational competencies” and “Special competitive competencies” were the two key categories for the home delivery industry. Moreover, “Service price”, “On-time delivery”, and “Secure delivery” were found to be the three most important capabilities needed for home delivery companies. The results showed that the model is able to effectively assist organizations in constructing or assessing their organizational capabilities; in addition, organizations can adjust their service profiles to adapt to today’s turbulent business environment and rapidly changing consumer demands. Full article
Show Figures

Figure 1

Open AccessArticle
Selecting the Low-Carbon Tourism Destination: Based on Pythagorean Fuzzy Taxonomy Method
Mathematics 2020, 8(5), 832; https://doi.org/10.3390/math8050832 - 21 May 2020
Abstract
Low-carbon tourism plays the increasingly significant role in carbon emission reduction and natural environmental protection. The choice of low-carbon tourist destination (LCTD) often involves the multiple attributes or criteria and can be regarded as the corresponding multiple attribute group decision making (MAGDM) issues. [...] Read more.
Low-carbon tourism plays the increasingly significant role in carbon emission reduction and natural environmental protection. The choice of low-carbon tourist destination (LCTD) often involves the multiple attributes or criteria and can be regarded as the corresponding multiple attribute group decision making (MAGDM) issues. Since the Pythagorean fuzzy sets (PFSs) could well depict uncertain information or fuzzy information and cope with the LCTD selection, thus this essay develops a framework to tackle such MAGDM issues under the Pythagorean fuzzy environment. In this essay, due to few methods can compare with different alternatives along with their advantages from designed attributes, therefore, to overcome this challenge, the taxonomy method is utilized to integrate with PFSs. What’s more, the entropy method is also utilized to determine the attribute weights. Eventually, an application related to LCTD selection and some comparative analysis have been given to demonstrate the superiority of the designed method. The results illustrate that the designed framework is useful for identifying optimal tourist destination among the potential tourist destinations. Full article
Show Figures

Figure 1

Open AccessArticle
An Institutional Trust Indicator Based on Fuzzy Logic and Ideal Solutions
Mathematics 2020, 8(5), 807; https://doi.org/10.3390/math8050807 - 15 May 2020
Abstract
The analysis of trust in the governments and the authorities has been a source of study in recent years, especially by the impact it has on facilitating economic growth and stability in developing countries. This paper analyses the institutional trust in Ecuador using [...] Read more.
The analysis of trust in the governments and the authorities has been a source of study in recent years, especially by the impact it has on facilitating economic growth and stability in developing countries. This paper analyses the institutional trust in Ecuador using data from an adapted survey of the European Social Survey. A synthetic indicator of institutional trust of Ecuadorian citizens is obtained by applying a fuzzy hybrid multi-criteria method. The analysis is based on six different dimensions, namely: (1) The Local Government (City Hall); (2) The Judicial System; (3) The Politicians; (4) Political Parties; (5) The National Parliament; and (6) the United Nations. The results obtained for the country, the nine provincial conglomerates and the gender segments show that institutional trust is not homogeneous among the provincial zones and that males trust more on institutions than females. The paper offers interesting insights to practitioners, researchers, academics, political scientists, and policymakers interested in Latin America. Suggestions for future research in the area, having in mind the existing data availability limitations, are provided. Full article
Show Figures

Figure 1

Open AccessArticle
Using FQFD and FGRA to Enhance the Advertising Effectiveness of Cross-Regional E-Commerce Platforms
Mathematics 2020, 8(4), 650; https://doi.org/10.3390/math8040650 - 23 Apr 2020
Abstract
The thriving development of cross-regional e-commerce has gradually increased online marketing activities and consumers’ intention to shop online. The objective of this paper to find solutions for improving the advertising effectiveness has therefore become very important. In this article, an integrating method of [...] Read more.
The thriving development of cross-regional e-commerce has gradually increased online marketing activities and consumers’ intention to shop online. The objective of this paper to find solutions for improving the advertising effectiveness has therefore become very important. In this article, an integrating method of fuzzy quality function deployment (FQFD) and fuzzy grey relational analysis (FGRA) was proposed to identify solutions for improving the advertising effectiveness. Based on this method, the house of quality (HoQ) to facilitate investigation of the 17 advertising effectiveness needs and 10 feasible technical improvements were presented. Through the questionnaire survey of platform users, the importance and satisfaction of the attributes of advertising needs were obtained. After that, a fuzzy relationship matrix was constructed to link technical improvements and advertising effectiveness needs in a fuzzy decision environment. Finally, the priority of technical improvements regarding improving advertising effectiveness were obtained. The results show that the proposed method can help decision makers of cross-regional e-commerce to improve advertising effectiveness effectively, so that they can effectively use resources to design advertisements that meet user needs. Full article
Show Figures

Figure 1

Open AccessArticle
Constructing Fuzzy Hypothesis Methods to Determine Critical-To-Quality Service Items
Mathematics 2020, 8(4), 573; https://doi.org/10.3390/math8040573 - 12 Apr 2020
Abstract
This paper constructs a performance evaluation matrix (PEM) with beta distribution. Beta is between zero and one, making it a suitable indicator to describe customer ratings of importance and satisfaction from 0% to 100%. According to the spirit of ceaseless improvement put forward [...] Read more.
This paper constructs a performance evaluation matrix (PEM) with beta distribution. Beta is between zero and one, making it a suitable indicator to describe customer ratings of importance and satisfaction from 0% to 100%. According to the spirit of ceaseless improvement put forward by total quality management, the average ratings are set as the standard, and then the coordinates of each satisfaction and importance item is located in the performance areas. This makes it easy to identify critical-to-quality items that require improvement. However, the data collection method of questionnaires inevitably involves sampling error, and the opinions of customers are often ambiguous. To solve these problems, we constructed a fuzzy testing method based on confidence intervals. The use of confidence intervals decreases the chance of misjudgment caused by sampling errors, and more precisely gets closer to customers’ voices. This result is more reasonable than the traditional statistical testing principle. The proposed methods are applied to assessment of a computer-assisted language learning (CALL) system to display their competence. Full article
Show Figures

Figure 1

Open AccessArticle
Possibility Measure of Accepting Statistical Hypothesis
Mathematics 2020, 8(4), 551; https://doi.org/10.3390/math8040551 - 09 Apr 2020
Abstract
Taking advantage of the possibility of fuzzy test statistic falling in the rejection region, a statistical hypothesis testing approach for fuzzy data is proposed in this study. In contrast to classical statistical testing, which yields a binary decision to reject or to accept [...] Read more.
Taking advantage of the possibility of fuzzy test statistic falling in the rejection region, a statistical hypothesis testing approach for fuzzy data is proposed in this study. In contrast to classical statistical testing, which yields a binary decision to reject or to accept a null hypothesis, the proposed approach is to determine the possibility of accepting a null hypothesis (or alternative hypothesis). When data are crisp, the proposed approach reduces to the classical hypothesis testing approach. Full article
Show Figures

Figure 1

Open AccessArticle
Determining the Optimal Inventory and Number of Shipments for a Two-Resource Supply Chain with Correlated Demands and Remanufacturing Products Allowing Backorder
Mathematics 2020, 8(4), 548; https://doi.org/10.3390/math8040548 - 08 Apr 2020
Abstract
This study develops an integrated supplier–remanufacturer and customer (downstream manufacturer) inventory model that takes into account three-echelon system with correlated demands and remanufacturing products allowing a backorder goods condition. This paper improves the observable fact that the first model system customer might select [...] Read more.
This study develops an integrated supplier–remanufacturer and customer (downstream manufacturer) inventory model that takes into account three-echelon system with correlated demands and remanufacturing products allowing a backorder goods condition. This paper improves the observable fact that the first model system customer might select two sources from remanufactured products or supplier products without defective items. The second model further considers the defective items during the screening duration. The results are examined analytically and numerically to show that the policy of single shipment in large lot sizes results in less total cost than a frequent shipments policy. We also explore the impact of recovery rate on the economic benefits of the inventory system. In addition, we also perform sensitivity analysis to study the impact of seven important parameters (transportation cost, recovery rate, screening rate, annual demand, defect rate, and backorder rate, holding cost,) on the optimal solution. Management insights were also discussed. Full article
Show Figures

Figure 1

Open AccessArticle
Distance and Similarity Measures for Spherical Fuzzy Sets and Their Applications in Selecting Mega Projects
Mathematics 2020, 8(4), 519; https://doi.org/10.3390/math8040519 - 03 Apr 2020
Abstract
A new condition on positive membership, neutral membership, and negative membership functions give us the successful extension of picture fuzzy set and Pythagorean fuzzy set and called spherical fuzzy sets ( SFS ) . This extends the domain of positive membership, neutral membership, [...] Read more.
A new condition on positive membership, neutral membership, and negative membership functions give us the successful extension of picture fuzzy set and Pythagorean fuzzy set and called spherical fuzzy sets ( SFS ) . This extends the domain of positive membership, neutral membership, and negative membership functions. Keeping in mind the importance of similarity measure and application in data mining, medical diagnosis, decision making, and pattern recognition, several studies on similarity measures have been proposed in the literature. Some of those, however, cannot satisfy the axioms of similarity and provide counter-intuitive cases. In this paper, we proposed the set-theoretic similarity and distance measures. We provide some counterexamples for already proposed similarity measures in the literature and shows that how our proposed method is important and applicable to the pattern recognition problems. In the end, we provide an application of a proposed similarity measure for selecting mega projects in under developed countries. Full article
Open AccessArticle
The Constrained Median: A Way to Incorporate Side Information in the Assessment of Food Samples
Mathematics 2020, 8(3), 406; https://doi.org/10.3390/math8030406 - 12 Mar 2020
Abstract
A classical problem in the field of food science concerns the consensus evaluation of food samples. Typically, several panelists are asked to provide scores describing the perceived quality of the samples, and subsequently, the overall (consensus) scores are determined. Unfortunately, gathering a large [...] Read more.
A classical problem in the field of food science concerns the consensus evaluation of food samples. Typically, several panelists are asked to provide scores describing the perceived quality of the samples, and subsequently, the overall (consensus) scores are determined. Unfortunately, gathering a large number of panelists is a challenging and very expensive way of collecting information. Interestingly, side information about the samples is often available. This paper describes a method that exploits such information with the aim of improving the assessment of the quality of multiple samples. The proposed method is illustrated by discussing an experiment on raw Atlantic salmon (Salmo salar), where the evolution of the overall score of each salmon sample is studied. The influence of incorporating knowledge of storage days, results of a clustering analysis, and information from additionally performed sensory evaluation tests is discussed. We provide guidelines for incorporating different types of information and discuss their benefits and potential risks. Full article
Show Figures

Figure 1

Open AccessArticle
A Fuzzy Multi-Criteria Evaluation Framework for Urban Sustainable Development
Mathematics 2020, 8(3), 330; https://doi.org/10.3390/math8030330 - 03 Mar 2020
Abstract
With the rapid transformations of living environments, urban sustainable development has become an important global issue for urban growth and management. In order to effectively implement urban sustainable development, it is necessary to establish an operational action model based on its nature. This [...] Read more.
With the rapid transformations of living environments, urban sustainable development has become an important global issue for urban growth and management. In order to effectively implement urban sustainable development, it is necessary to establish an operational action model based on its nature. This study first clarifies the core value of urban quality of life (QOL), and proposes the corresponding concept of Life–City. A variety of factors may affect the content of Life–City, and when assessing the objectives of sustainable development, there are uncertain properties and value judgments. Therefore, Life–City evaluation is a fuzzy multi-criteria decision analysis (FMCDA) problem. This study constructs the dimensions and the possible impact factors for urban QOL development. The fuzzy Delphi method (FDM) is employed to screen evaluation criteria and develop the overall evaluation framework. In order to effectively convert the subjective and perceptual issues in the framework into objective and quantitative processing, this study adopts the extent analysis method on fuzzy AHP (EAFAHP) to aggregate experts’ comments as empirical evaluation. The research results can convert the abstract concept of sustainability to the evaluation of Life–City specific operation, and serve as guidance for self-examination of current status and future policy development. Full article
Show Figures

Figure 1

Open AccessArticle
An Extended EDAS Method with a Single-Valued Complex Neutrosophic Set and Its Application in Green Supplier Selection
Mathematics 2020, 8(2), 282; https://doi.org/10.3390/math8020282 - 19 Feb 2020
Abstract
The single-valued complex neutrosophic set is a useful tool for handling the data with uncertainty and periodicity. In this paper, a single-valued complex neutrosophic EDAS (evaluation based on distance from average slution) model has been established and applied in green supplier selection. Firstly, [...] Read more.
The single-valued complex neutrosophic set is a useful tool for handling the data with uncertainty and periodicity. In this paper, a single-valued complex neutrosophic EDAS (evaluation based on distance from average slution) model has been established and applied in green supplier selection. Firstly, the definition of single-valued complex neutrosophic set and corresponding operational laws are briefly introduced. Next, to fuse overall single-valued complex neutrosophic information, the SVCNEWA and SVCNEWG operators based on single-valued complex neutrosophic set, Einstein product and sum are proposed. Furthermore, the single-valued complex neutrosophic EDAS model has been established and all computing steps have been depicted in detail. Finally, a numerical example of green supplier selection and a comparison analysis have been given to illustrate the practicality and effectiveness of this new model. Full article
Back to TopTop