Special Issue "Solution Models based on Symmetric and Asymmetric Information"

A special issue of Symmetry (ISSN 2073-8994).

Deadline for manuscript submissions: closed (15 September 2018)

Special Issue Editors

Guest Editor
Prof. Edmundas Kazimieras Zavadskas

Department of Construction Management and Real Estate, Laboratory of Operational Research, Research Institute of Sustainable Construction, Vilnius Gediminas Technical University, LT-10223 Vilnius, Lithuania
Website | E-Mail
Interests: multi-criteria decision-making; operations research; decision support systems; multiple-criteria optimization in construction technology and management
Guest Editor
Prof. Dr. Zenonas Turskis

Department of Construction Management and Real Estate, Laboratory of Operational Research, Research Institute of Sustainable Construction, Vilnius Gediminas Technical University, LT-10223 Vilnius, Lithuania
Website | E-Mail
Phone: (85)-274-5231
Interests: multi-criteria decision-making; operations research; decision support systems; multiple-criteria optimization in construction technology and management
Guest Editor
Prof. Jurgita Antuchevičienė

Department of Construction Management and Real Estate, Vilnius Gediminas Technical University, LT-10223 Vilnius, Lithuania
Website | E-Mail
Interests: multi-criteria decision-making; operations research; decision support systems; multiple-criteria optimization in construction technology and management

Special Issue Information

Dear Colleagues,

This Special Issue is intended to cover symmetry and asymmetry phenomena occurring in real-life problems. Symmetry and structural regularity are essential concepts in many natural and man-made objects and play a crucial role in problems solutions. While the complexity and risks inherent in problem solution models, along with different indicators of success and failure, may contribute to the difficulties in their performance evaluation, and, generally multiple solutions exist. The existence of information asymmetry also causes difficulties when achieving optimal solution. Therefore, various solution models can be proposed as integrated tool to find a balance between components of sustainable global development, i.e., to find symmetry axe with respect to goals, risks, and constraints to cope with the complicated problems. We invite authors to submit their theoretical or experimental research presenting engineering and other problem solution models dealing with symmetry and asymmetry of different types of information.

Prof. Edmundas Kazimieras Zavadskas
Prof. Zenonas Turskis
Prof. Jurgita Antuchevičienė
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. Symmetry 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 1400 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.

Keywords

  • Symmetry and asymmetry particularities in engineering problems’ solution models
  • Information mining and integration of information
  • Visualization of symmetric and asymmetric information
  • Multiple-criteria problem solution models
  • Solution models based on sustainability
  • Hybrid problem solution models
  • Interval-valued fuzzy sets
  • Intuitionistic fuzzy sets
  • Neutrosophic sets
  • Grey systems
  • Rough sets
  • Computer-aided problem solution

Published Papers (10 papers)

View options order results:
result details:
Displaying articles 1-10
Export citation of selected articles as:

Editorial

Jump to: Research

Open AccessEditorial Solution Models Based on Symmetric and Asymmetric Information
Symmetry 2019, 11(4), 500; https://doi.org/10.3390/sym11040500
Received: 2 April 2019 / Accepted: 2 April 2019 / Published: 5 April 2019
PDF Full-text (885 KB) | HTML Full-text | XML Full-text
Abstract
This Special Issue covers symmetry and asymmetry phenomena occurring in real-life problems. We invited authors to submit their theoretical or experimental research presenting engineering and economic problem solution models dealing with the symmetry or asymmetry of different types of information. The issue gained [...] Read more.
This Special Issue covers symmetry and asymmetry phenomena occurring in real-life problems. We invited authors to submit their theoretical or experimental research presenting engineering and economic problem solution models dealing with the symmetry or asymmetry of different types of information. The issue gained interest in the research community and received many submissions. After rigorous scientific evaluation by editors and reviewers, nine papers were accepted and published. The authors proposed different solution models as integrated tools to find a balance between the components of sustainable global development, i.e., to find a symmetry axis concerning goals, risks, and constraints to cope with the complicated problems. We hope that a summary of the Special Issue as provided in this editorial will encourage a detailed analysis of the papers. Full article
(This article belongs to the Special Issue Solution Models based on Symmetric and Asymmetric Information)
Figures

Figure 1

Research

Jump to: Editorial

Open AccessArticle Geometrical Information Flow Regulated by Time Lengths: An Initial Approach
Symmetry 2018, 10(11), 645; https://doi.org/10.3390/sym10110645
Received: 26 September 2018 / Revised: 22 October 2018 / Accepted: 6 November 2018 / Published: 16 November 2018
Cited by 1 | PDF Full-text (6034 KB) | HTML Full-text | XML Full-text
Abstract
The article analyzes Bernoulli’s binary sequences in the representation of empirical events about water usage and continuous expenditure systems. The main purpose is to identify among variables that constitute water resources consumption at public schools, the link between consumption and expenditures oscillations. It [...] Read more.
The article analyzes Bernoulli’s binary sequences in the representation of empirical events about water usage and continuous expenditure systems. The main purpose is to identify among variables that constitute water resources consumption at public schools, the link between consumption and expenditures oscillations. It was obtained a theoretical model of how oscillations patterns are originated and how time lengths have an important role over expenditures oscillations ergodicity and non-ergodicity. Full article
(This article belongs to the Special Issue Solution Models based on Symmetric and Asymmetric Information)
Figures

Figure 1

Open AccessArticle Measuring Performance in Transportation Companies in Developing Countries: A Novel Rough ARAS Model
Symmetry 2018, 10(10), 434; https://doi.org/10.3390/sym10100434
Received: 6 September 2018 / Revised: 17 September 2018 / Accepted: 20 September 2018 / Published: 25 September 2018
Cited by 4 | PDF Full-text (2096 KB) | HTML Full-text | XML Full-text
Abstract
The success of any business depends fundamentally on the possibility of balancing (symmetry) needs and their satisfaction, that is, the ability to properly define a set of success indicators. It is necessary to continuously monitor and measure the indicators that have the greatest [...] Read more.
The success of any business depends fundamentally on the possibility of balancing (symmetry) needs and their satisfaction, that is, the ability to properly define a set of success indicators. It is necessary to continuously monitor and measure the indicators that have the greatest impact on the achievement of previously set goals. Regarding transportation companies, the rationalization of transportation activities and processes plays an important role in ensuring business efficiency. Therefore, in this paper, a model for evaluating performance indicators has been developed and implemented in three different countries: Bosnia and Herzegovina, Libya and Serbia. The model consists of five phases, of which the greatest contribution is the development of a novel rough additive ratio assessment (ARAS) approach for evaluating measured performance indicators in transportation companies. The evaluation was carried out in the territories of the aforementioned countries in a total of nine companies that were evaluated on the basis of 20 performance indicators. The results obtained were verified throughout a three-phase procedure of a sensitivity analysis. The significance of the performance indicators was simulated throughout the formation of 10 scenarios in the sensitivity analysis. In addition, the following approaches were applied: rough WASPAS (weighted aggregated sum product assessment), rough SAW (simple additive weighting), rough MABAC (multi-attributive border approximation area comparison) and rough EDAS (evaluation based on distance from average solution), which showed high correlation of ranks by applying Spearman's correlation coefficient (SCC). Full article
(This article belongs to the Special Issue Solution Models based on Symmetric and Asymmetric Information)
Figures

Figure 1

Open AccessArticle A New Evaluation for Solving the Fully Fuzzy Data Envelopment Analysis with Z-Numbers
Symmetry 2018, 10(9), 384; https://doi.org/10.3390/sym10090384
Received: 19 August 2018 / Revised: 27 August 2018 / Accepted: 29 August 2018 / Published: 5 September 2018
Cited by 1 | PDF Full-text (286 KB) | HTML Full-text | XML Full-text
Abstract
There are numerous models for solving the efficiency evaluation in data envelopment analysis (DEA) with fuzzy input and output data. However, because of the limitation of those strategies, they cannot be implemented for solving fully fuzzy DEA (FFDEA). Furthermore, in real-world problems with [...] Read more.
There are numerous models for solving the efficiency evaluation in data envelopment analysis (DEA) with fuzzy input and output data. However, because of the limitation of those strategies, they cannot be implemented for solving fully fuzzy DEA (FFDEA). Furthermore, in real-world problems with imprecise data, fuzziness is not sufficient to consider, and the reliability of the information is also very vital. To overcome these flaws, this paper presented a new method for solving the fully fuzzy DEA model where all parameters are Z-numbers. The new approach is primarily based on crisp linear programming and has a simple structure. Moreover, it is proved that the only existing method to solve FFDEA with Z-numbers is not valid. An example is also presented to illustrate the efficiency of our proposed method and provide an explanation for the content of the paper. Full article
(This article belongs to the Special Issue Solution Models based on Symmetric and Asymmetric Information)
Open AccessArticle Flight Stability Analysis of a Symmetrically-Structured Quadcopter Based on Thrust Data Logger Information
Symmetry 2018, 10(7), 291; https://doi.org/10.3390/sym10070291
Received: 23 June 2018 / Revised: 11 July 2018 / Accepted: 17 July 2018 / Published: 19 July 2018
Cited by 1 | PDF Full-text (2944 KB) | HTML Full-text | XML Full-text
Abstract
Quadcopter flight stability is achieved when all of the rotors–propellers generate equal thrust in hover and throttle mode. It requires a control system algorithm for rotor speed adjustment, which is related with the translational vector and rotational angle. Even with an identical propeller [...] Read more.
Quadcopter flight stability is achieved when all of the rotors–propellers generate equal thrust in hover and throttle mode. It requires a control system algorithm for rotor speed adjustment, which is related with the translational vector and rotational angle. Even with an identical propeller and speed, the thrusts generated are not necessarily equal on all rotors–propellers. Therefore, this study focuses on developing a data logger to measure thrust and to assist in flight control on a symmetrically-structured quadcopter. It is developed with a four load cells sensor with two-axis characterizations and is able to perform real-time signal processing. The process includes speed adjustment for each rotor, trim calibration, and a proportional integral derivative (PID) control tuning system. In the data retrieval process, a quadcopter was attached with data logger system in a parallel axis position. Various speeds between 1200 rpm to 4080 rpm in throttle mode were analyzed to determine the stability of the resulting thrust. Adjustment result showed that the thrust differences between the rotors were less than 0.5 N. The data logger showed the consistency of the thrust value and was proved by repeated experiments with 118 s of sampling time for the same quadcopter control condition. Finally, the quadcopter flight stability as the result of tuning process by the thrust data logger was validated by the flight controller data. Full article
(This article belongs to the Special Issue Solution Models based on Symmetric and Asymmetric Information)
Figures

Figure 1

Open AccessArticle Optimal Dividend and Capital Injection Problem with Transaction Cost and Salvage Value: The Case of Excess-of-Loss Reinsurance Based on the Symmetry of Risk Information
Symmetry 2018, 10(7), 276; https://doi.org/10.3390/sym10070276
Received: 8 June 2018 / Revised: 7 July 2018 / Accepted: 9 July 2018 / Published: 12 July 2018
Cited by 1 | PDF Full-text (337 KB) | HTML Full-text | XML Full-text
Abstract
This paper considers the optimal dividend and capital injection problem for an insurance company, which controls the risk exposure by both the excess-of-loss reinsurance and capital injection based on the symmetry of risk information. Besides the proportional transaction cost, we also incorporate the [...] Read more.
This paper considers the optimal dividend and capital injection problem for an insurance company, which controls the risk exposure by both the excess-of-loss reinsurance and capital injection based on the symmetry of risk information. Besides the proportional transaction cost, we also incorporate the fixed transaction cost incurred by capital injection and the salvage value of a company at the ruin time in order to make the surplus process more realistic. The main goal is to maximize the expected sum of the discounted salvage value and the discounted cumulative dividends except for the discounted cost of capital injection until the ruin time. By considering whether there is capital injection in the surplus process, we construct two instances of suboptimal models and then solve for the corresponding solution in each model. Lastly, we consider the optimal control strategy for the general model without any restriction on the capital injection or the surplus process. Full article
(This article belongs to the Special Issue Solution Models based on Symmetric and Asymmetric Information)
Open AccessArticle The Recalculation of the Weights of Criteria in MCDM Methods Using the Bayes Approach
Symmetry 2018, 10(6), 205; https://doi.org/10.3390/sym10060205
Received: 3 May 2018 / Revised: 31 May 2018 / Accepted: 1 June 2018 / Published: 7 June 2018
Cited by 5 | PDF Full-text (678 KB) | HTML Full-text | XML Full-text
Abstract
The application of multiple criteria decision-making methods (MCDM) is aimed at choosing the best alternative out of the number of available versions in the absence of the apparently dominant alternative. One of the two major components of multiple criteria decision-making methods is represented [...] Read more.
The application of multiple criteria decision-making methods (MCDM) is aimed at choosing the best alternative out of the number of available versions in the absence of the apparently dominant alternative. One of the two major components of multiple criteria decision-making methods is represented by the weights of the criteria describing the considered process. The weights of the criteria quantitatively express their significance and influence on the evaluation result. The criterion weights can be subjective, i.e., based on the estimates assigned by the experts, and the so-called objective, i.e., those which assess the structure of the data array at the time of evaluation. Several groups of experts, representing the opinions of various interested parties may take part in the evaluation of criteria. The evaluation data on the criterion weights also depend on the mathematical methods used for calculations and the estimation scales. In determining the objective weights, several methods, assessing various properties or characteristics of the data array’s structure, are usually employed. Therefore, the use of the procedures, improving the accuracy of the evaluation of the weights’ values and the integration of the obtained data into a single value, is often required. The present paper offers a new approach to more accurate evaluation of the criteria weights obtained by using various methods based on the idea of the Bayes hypothesis. The performed investigation shows that the suggested method is symmetrical and does not depend on the fact whether a priori or posterior values of the weights are recalculated. This result is the theoretical basis for practical use of the method of combining the weights obtained by various approaches as the geometric mean of various estimates. The ideas suggested by the authors have been repeatedly used in the investigation for combining the objective weights, for recalculating the criteria weights after obtaining the estimates of other groups of experts and for combining the subjective and the objective weights. The recalculated values of the weights of the criteria are used in the work for evaluating the quality of the distant courses taught to the students. Full article
(This article belongs to the Special Issue Solution Models based on Symmetric and Asymmetric Information)
Figures

Figure 1

Open AccessArticle Multiple Criteria Group Decision-Making Considering Symmetry with Regards to the Positive and Negative Ideal Solutions via the Pythagorean Normal Cloud Model for Application to Economic Decisions
Symmetry 2018, 10(5), 140; https://doi.org/10.3390/sym10050140
Received: 14 April 2018 / Revised: 23 April 2018 / Accepted: 26 April 2018 / Published: 1 May 2018
Cited by 5 | PDF Full-text (823 KB) | HTML Full-text | XML Full-text
Abstract
Pythagorean fuzzy sets are highly appealing in dealing with uncertainty as they allow for greater flexibility in regards to the membership and non-membership degrees by extending the set of possible values. In this paper, we propose a multi-criteria group decision-making approach based on [...] Read more.
Pythagorean fuzzy sets are highly appealing in dealing with uncertainty as they allow for greater flexibility in regards to the membership and non-membership degrees by extending the set of possible values. In this paper, we propose a multi-criteria group decision-making approach based on the Pythagorean normal cloud. Some cloud aggregation operators are presented in this paper to facilitate the appraisal of the underlying utilities of the alternatives under consideration. The concept and properties of the Pythagorean normal cloud and its backward generation algorithm, aggregation operators and distance measurement are outlined. The proposed approach resembles the TOPSIS technique, which, indeed, considers the symmetry of the distances to the positive and negative ideal solutions. Furthermore, an example from e-commerce is presented to demonstrate and validate the proposed decision-making approach. Finally, the comparative analysis is implemented to check the robustness of the results when the aggregation rules are changed. Full article
(This article belongs to the Special Issue Solution Models based on Symmetric and Asymmetric Information)
Figures

Figure 1

Open AccessFeature PaperArticle Models for Green Supplier Selection with Some 2-Tuple Linguistic Neutrosophic Number Bonferroni Mean Operators
Symmetry 2018, 10(5), 131; https://doi.org/10.3390/sym10050131
Received: 4 April 2018 / Revised: 16 April 2018 / Accepted: 16 April 2018 / Published: 25 April 2018
Cited by 27 | PDF Full-text (425 KB) | HTML Full-text | XML Full-text
Abstract
In this paper, we extend the Bonferroni mean (BM) operator, generalized Bonferroni mean (GBM) operator, dual generalized Bonferroni mean (DGBM) operator and dual generalized geometric Bonferroni mean (DGGBM) operator with 2-tuple linguistic neutrosophic numbers (2TLNNs) to propose 2-tuple linguistic neutrosophic numbers weighted Bonferroni [...] Read more.
In this paper, we extend the Bonferroni mean (BM) operator, generalized Bonferroni mean (GBM) operator, dual generalized Bonferroni mean (DGBM) operator and dual generalized geometric Bonferroni mean (DGGBM) operator with 2-tuple linguistic neutrosophic numbers (2TLNNs) to propose 2-tuple linguistic neutrosophic numbers weighted Bonferroni mean (2TLNNWBM) operator, 2-tuple linguistic neutrosophic numbers weighted geometric Bonferroni mean (2TLNNWGBM) operator, generalized 2-tuple linguistic neutrosophic numbers weighted Bonferroni mean (G2TLNNWBM) operator, generalized 2-tuple linguistic neutrosophic numbers weighted geometric Bonferroni mean (G2TLNNWGBM) operator, dual generalized 2-tuple linguistic neutrosophic numbers weighted Bonferroni mean (DG2TLNNWBM) operator, and dual generalized 2-tuple linguistic neutrosophic numbers weighted geometric Bonferroni mean (DG2TLNNWGBM) operator. Then, the MADM methods are proposed with these operators. In the end, we utilize an applicable example for green supplier selection in green supply chain management to prove the proposed methods. Full article
(This article belongs to the Special Issue Solution Models based on Symmetric and Asymmetric Information)
Open AccessArticle An Extended Step-Wise Weight Assessment Ratio Analysis with Symmetric Interval Type-2 Fuzzy Sets for Determining the Subjective Weights of Criteria in Multi-Criteria Decision-Making Problems
Symmetry 2018, 10(4), 91; https://doi.org/10.3390/sym10040091
Received: 19 March 2018 / Revised: 28 March 2018 / Accepted: 30 March 2018 / Published: 31 March 2018
Cited by 5 | PDF Full-text (6945 KB) | HTML Full-text | XML Full-text
Abstract
Determination of subjective weights, which are based on the opinions and preferences of decision-makers, is one of the most important matters in the process of multi-criteria decision-making (MCDM). Step-wise Weight Assessment Ratio Analysis (SWARA) is an efficient method for obtaining the subjective weights [...] Read more.
Determination of subjective weights, which are based on the opinions and preferences of decision-makers, is one of the most important matters in the process of multi-criteria decision-making (MCDM). Step-wise Weight Assessment Ratio Analysis (SWARA) is an efficient method for obtaining the subjective weights of criteria in the MCDM problems. On the other hand, decision-makers may express their opinions with a degree of uncertainty. Using the symmetric interval type-2 fuzzy sets enables us to not only capture the uncertainty of information flexibly but also to perform computations simply. In this paper, we propose an extended SWARA method with symmetric interval type-2 fuzzy sets to determine the weights of criteria based on the opinions of a group of decision-makers. The weights determined by the proposed approach involve the uncertainty of decision-makers’ preferences and the symmetric form of the weights makes them more interpretable. To show the procedure of the proposed approach, it is used to determine the importance of intellectual capital dimensions and components in a company. The results show that the proposed approach is efficient in determining the subjective weights of criteria and capturing the uncertainty of information. Full article
(This article belongs to the Special Issue Solution Models based on Symmetric and Asymmetric Information)
Figures

Figure 1

Symmetry EISSN 2073-8994 Published by MDPI AG, Basel, Switzerland RSS E-Mail Table of Contents Alert
Back to Top