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Axioms
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Fuzzy Logic and Application in Multi-Criteria Decision-Making (MCDM)
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Fuzzy Logic and Application in Multi-Criteria Decision-Making (MCDM)

A special issue of Axioms (ISSN 2075-1680). This special issue belongs to the section "Logic".

Deadline for manuscript submissions: closed (20 May 2023) | Viewed by 15238

Special Issue Editors

Dr. Darko Božanić

E-Mail Website
Guest Editor
Military Academy, University of Defence in Belgarde, Pavla Jurisica Sturma 33, 11000 Belgrade, Serbia
Interests: multi-criteria decision-making; fuzzy set theory; neuro-fuzzy systems; rough set theory; decision support systems
Special Issues, Collections and Topics in MDPI journals
Dr. Adis Puška

E-Mail Website
Guest Editor
Agricultural Faculty, Bijeljina University, 76300 Bijeljina, Bosnia and Herzegovina
Interests: quantitative economics; multi-criteria decision-making; fuzzy set theory; operational management
Special Issues, Collections and Topics in MDPI journals

Special Issue Information

Dear Colleagues,

It turned out that most of the problems dealing with multi-criteria decision-making (MCDM) have a certain degree of uncertainty. Therefore, most research related to MCDM combines decision-making models with an aspect which deals with uncertainties. To solve the problems of uncertainty in decision-making, researchers have developed various approaches, such as fuzzy sets, rough sets, gray sets, etc. One of the first and perhaps most common is fuzzy mathematics. Fuzzy mathematics with its basic concepts, such as fuzzy logic, fuzzy sets, fuzzy algorithms, fuzzy semantics, fuzzy languages, etc., was developed by Lotfi Zadeh. This excellently laid the foundations of fuzzy mathematics which have ensured that it finds great application in practice and develops in many directions.

This Special Issue should provide an overview of research dealing with practical problem solving using fuzzy MCDM. In addition, it should be a platform for gathering the knowledge of theorists and practitioners in fuzzy logic and multi-criteria decision-making, which would improve both areas.

This Special Issue on “Fuzzy logic and Application in Multi-Criteria Decision-Making (MCDM)” aims to incorporate recent developments in applied science. Topics include, but are not limited to, the following:

  • Application of classical fuzzy number in MCDM;
  • Application of interval fuzzy number in MCDM;
  • Application of Z – number in MCDM;
  • Application of intuitionistic fuzzy numbers in MCDM;
  • Application of hesitant fuzzy numbers in MCDM;
  • Application of q-rung orthopair fuzzy numbers in MCDM;
  • Application Pythagorean fuzzy numbers in MCDM;
  • Application of spherical fuzzy numbers in MCDM;
  • Neuro-fuzzy models for MCDM;
  • Fuzzy system for MCDM.

Dr. Darko Božanić
Dr. Adis Puška
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 submissions that pass pre-check are 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. Axioms 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 2400 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

  • multi-criteria decision-making
  • classical fuzzy number
  • interval fuzzy number
  • Z – number
  • intuitionistic fuzzy numbers
  • hesitant fuzzy numbers
  • q-rung orthopair fuzzy numbers
  • Pythagorean fuzzy numbers
  • spherical fuzzy numbers
  • neuro-fuzzy models
  • fuzzy system

Related Special Issue

Published Papers (10 papers)

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Research

19 pages, 430 KiB  
Article
Homogeneity Test of Many-to-One Relative Risk Ratios in Unilateral and Bilateral Data with Multiple Groups
by Yuxin Li, Zhiming Li and Keyi Mou
Axioms 2023, 12(4), 333; https://doi.org/10.3390/axioms12040333 - 29 Mar 2023
Viewed by 992
Abstract
In medical clinical studies, we often encounter paired organs’ unilateral or bilateral data. For bilateral data, there exists an intraclass correlation between paired organs. Under an intraclass correlation model, this paper proposes asymptotic statistics for testing the equality of many-to-one relative risk ratios [...] Read more.
In medical clinical studies, we often encounter paired organs’ unilateral or bilateral data. For bilateral data, there exists an intraclass correlation between paired organs. Under an intraclass correlation model, this paper proposes asymptotic statistics for testing the equality of many-to-one relative risk ratios in combined unilateral and bilateral data. Furthermore, we calculate the explicit expressions of these statistics. Moreover, these procedures are adequate to solve the hypothesis problems of unilateral or bilateral data. Through comparison, the simulation results show that the score test has a robust empirical type-I error rate and sufficient power. We provide a clinical trial of acute otitis media to illustrate our proposed methods. Full article
(This article belongs to the Special Issue Fuzzy Logic and Application in Multi-Criteria Decision-Making (MCDM))
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18 pages, 603 KiB  
Article
A Green Supply Chain Member Selection Method Considering Green Innovation Capability in a Hesitant Fuzzy Environment
by Jiafu Su, Baojian Xu, Lvcheng Li, Dan Wang and Fengting Zhang
Axioms 2023, 12(2), 188; https://doi.org/10.3390/axioms12020188 - 10 Feb 2023
Cited by 7 | Viewed by 1206
Abstract
The purpose of this paper is to propose an improved hesitation fuzzy multi-attribute decision-making method to realize green supply chain member selection under green innovation vision. The method uses hesitation fuzzy sets to express decision information of decision makers, takes green innovation capability [...] Read more.
The purpose of this paper is to propose an improved hesitation fuzzy multi-attribute decision-making method to realize green supply chain member selection under green innovation vision. The method uses hesitation fuzzy sets to express decision information of decision makers, takes green innovation capability as the evaluation perspective, and selects green innovation input, synergy of subjects in green supply chain, green innovation output capability, institutional innovation capability of enterprises in green supply chain, and green innovation sustainability as the indexes to evaluate the green innovation capability of enterprises. The multi-attribute decision method proposed in this paper takes into account the shortcomings of the original hesitant fuzzy multi-attribute decision method considering attribute weight optimization in the determination of attribute weights and scheme ranking, then proposes a three-point estimation method for scheme ranking and optimizes the attribute weights by quantifying the balance coefficients of the original decision method. Finally, an example is used to verify the rationality and effectiveness of the proposed method, and a comparison with the original method is made to highlight the advantages of this paper’s method. This paper provides a certain theoretical basis for the selection of members in green supply chains, which helps the selection of members in green supply chains and provides some insight for similar hesitant fuzzy multi-attribute decision-making problems in other fields. In future research, the method proposed in this paper can be considered to combine with probabilistic hesitant fuzzy sets and some other fuzzy sets for method extensions to solve multi-attribute decision-making problems. Full article
(This article belongs to the Special Issue Fuzzy Logic and Application in Multi-Criteria Decision-Making (MCDM))
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15 pages, 269 KiB  
Article
On Intuitionistic Fuzzy Temporal Topological Structures
by Krassimir Atanassov
Axioms 2023, 12(2), 182; https://doi.org/10.3390/axioms12020182 - 09 Feb 2023
Cited by 5 | Viewed by 902
Abstract
In the present paper, four different intuitionistic fuzzy temporal topological structures are introduced, and some of their properties are discussed. These topological structures are based on the intuitionistic fuzzy topological operators and on the temporal intuitionistic fuzzy topological operators, which exist in intuitionistic [...] Read more.
In the present paper, four different intuitionistic fuzzy temporal topological structures are introduced, and some of their properties are discussed. These topological structures are based on the intuitionistic fuzzy topological operators and on the temporal intuitionistic fuzzy topological operators, which exist in intuitionistic fuzzy sets theory. The new structures are direct extensions of the IFTSs and will be the basis for introducing of a new type of topological structures. Full article
(This article belongs to the Special Issue Fuzzy Logic and Application in Multi-Criteria Decision-Making (MCDM))
19 pages, 1122 KiB  
Article
An Integrated BWM-TOPSIS-I Approach to Determine the Ranking of Alternatives and Application of Sustainability Analysis of Renewable Energy
by Ahmad Alshamrani, Priyanka Majumder, Amrit Das, Ibrahim M. Hezam and Darko Božanić
Axioms 2023, 12(2), 159; https://doi.org/10.3390/axioms12020159 - 03 Feb 2023
Cited by 5 | Viewed by 1388
Abstract
The purpose of this paper is to identify the most significant alternatives of renewable energy sustainability using a hybrid decision-making model of multiple criteria. Sustainable energy sources cannot run out and can be used for an indefinite period of time. In addition to [...] Read more.
The purpose of this paper is to identify the most significant alternatives of renewable energy sustainability using a hybrid decision-making model of multiple criteria. Sustainable energy sources cannot run out and can be used for an indefinite period of time. In addition to meeting our energy needs, sustainable energy does not need to be renewed or replenished, nor does it pose any threat of being wrong or running out. Our energy demands can only be met by renewable energy. The bestworst methodand technique for order preference by similarities to ideal solution-I processes have proposed a hybrid model named the bestworst method—technique for order preference by similarities to ideal solution-I, for this purpose. This study uses comparative analysis and sensitivity analysis to determine the results of the proposed study. Full article
(This article belongs to the Special Issue Fuzzy Logic and Application in Multi-Criteria Decision-Making (MCDM))
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16 pages, 624 KiB  
Article
A New Hybrid Fermatean Fuzzy Set and Entropy Method for Risk Assessment
by Kuei-Hu Chang, Hsiang-Yu Chung, Chia-Nan Wang, Yu-Dian Lai and Chi-Hung Wu
Axioms 2023, 12(1), 58; https://doi.org/10.3390/axioms12010058 - 03 Jan 2023
Cited by 9 | Viewed by 1571
Abstract
Risk evaluation is an important part of the product design and product manufacturing process; it entails the pursuit of the highest product quality and preventing failure under the constraints of limited resources. The failure mode and effects analysis approach is one of the [...] Read more.
Risk evaluation is an important part of the product design and product manufacturing process; it entails the pursuit of the highest product quality and preventing failure under the constraints of limited resources. The failure mode and effects analysis approach is one of the most widely applied risk evaluation tools that uses the product of the three risk elements of product failure items, severity, occurrence probability, and detection probability, to calculate the risk priority number, the priority of failure risk. However, the typical failure mode and effects analysis method ignores the consideration of objective weights, which may lead to incorrect evaluation results. Moreover, the method of expressing information about product failure provided by experts also directly affects the results of risk assessment. To comprehensively assess the risk of product failure, in this study, the hybrid of the Fermatean fuzzy set and entropy method was used to prioritize product failure items risk. This study used a service failure mode and effects analysis numerical example of self-service electric vehicles to illustrate and test the correctness of the proposed new hybrid Fermatean fuzzy set and entropy method. The mathematical operation results were also compared with the listing of different calculation methods. The test results prove that the proposed new hybrid Fermatean fuzzy set and entropy method can fully consider the cognitive information provided by experts to provide more accurate risk ranking results of failure items. Full article
(This article belongs to the Special Issue Fuzzy Logic and Application in Multi-Criteria Decision-Making (MCDM))
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22 pages, 656 KiB  
Article
An Approach for the Assessment of Multi-National Companies Using a Multi-Attribute Decision Making Process Based on Interval Valued Spherical Fuzzy Maclaurin Symmetric Mean Operators
by Ansa Ashraf, Kifayat Ullah, Darko Božanić, Amir Hussain, Haolun Wang and Adis Puška
Axioms 2023, 12(1), 4; https://doi.org/10.3390/axioms12010004 - 21 Dec 2022
Viewed by 1040
Abstract
Many fuzzy concepts have been researched and described with uncertain information. Collecting data under uncertain information is a difficult task, especially when there is a difference between the opinions of experts. To deal with such situations, different types of operators have been introduced. [...] Read more.
Many fuzzy concepts have been researched and described with uncertain information. Collecting data under uncertain information is a difficult task, especially when there is a difference between the opinions of experts. To deal with such situations, different types of operators have been introduced. This paper aims to develop the Maclaurin symmetric mean (MSM) operator for the information in the shape of the interval-valued spherical fuzzy set (IVSFS). In this article, a family of aggregation operators (AOs) is proposed which consists of interval valued spherical fuzzy Maclaurin symmetric mean operator (IVSFMSM), interval valued spherical fuzzy weighted Maclaurin symmetric mean (IVSFWMSM), interval valued spherical fuzzy dual Maclaurin symmetric mean (IVSFDMSM), and interval valued spherical fuzzy dual weighted Maclaurin symmetric mean (IVSFDWMSM) operators. In this paper, we studied an elucidative example to discuss the evaluation of multi-national companies for the application of the proposed operator. Then the obtained results from the proposed operators are compared. The results obtained are graphed and tabulated for a better understanding. Full article
(This article belongs to the Special Issue Fuzzy Logic and Application in Multi-Criteria Decision-Making (MCDM))
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18 pages, 857 KiB  
Article
A Two-Stage Model Based on EFQM, FBWM, and FMOORA for Business Excellence Evaluation in the Process of Manufacturing
by Tijana Petrović, Jasmina Vesić Vasović, Nikola Komatina, Danijela Tadić, Đuro Klipa and Goran Đurić
Axioms 2022, 11(12), 704; https://doi.org/10.3390/axioms11120704 - 07 Dec 2022
Cited by 2 | Viewed by 1261
Abstract
In recent decades, many researchers and practitioners have believed that reaching a high level of business excellence leads to the continuous realization of a set of business goals. In the literature, a vast number of models for business excellence evaluation that contain different [...] Read more.
In recent decades, many researchers and practitioners have believed that reaching a high level of business excellence leads to the continuous realization of a set of business goals. In the literature, a vast number of models for business excellence evaluation that contain different criteria depending on the cultural, technological, organizational, and socio-economic factors can be found. The aims of the proposed fuzzy two-stage model are to address some of the main shortcomings of the EFQM2020 model and to adapt it to the needs of process manufacturing. The relative importance of quality criteria and their values are presented by pre-defined linguistic expressions modeled by the triangular fuzzy numbers. The determination of the weight vector of criteria is stated as a fuzzy group decision-making problem and determined by using the fuzzy best-worst method. The proposed fuzzy multi-objective optimization by ratio analysis is implemented for determining the rank of enterprises. The management initiatives that should lead to the improvement of business excellence should be based on the business practices of enterprises that are highly placed in the rank. Testing and verification of the proposed model are performed on real data originating from enterprises operating in the same economic sector. Full article
(This article belongs to the Special Issue Fuzzy Logic and Application in Multi-Criteria Decision-Making (MCDM))
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31 pages, 2842 KiB  
Article
Evaluating Global Container Shipping Companies: A Novel Approach to Investigating Both Qualitative and Quantitative Criteria for Sustainable Development
by Chia-Nan Wang, Thanh-Tuan Dang, Ngoc-Ai-Thy Nguyen, Chien-Chang Chou, Hsien-Pin Hsu and Le-Thanh-Hieu Dang
Axioms 2022, 11(11), 610; https://doi.org/10.3390/axioms11110610 - 01 Nov 2022
Cited by 3 | Viewed by 2360
Abstract
The COVID-19 pandemic has implications for the container shipping industry and global supply chains. Measuring the efficiency of major international container shipping companies (CSCs) is an important issue that helps them make strategic decisions to improve performance, especially in the context that all [...] Read more.
The COVID-19 pandemic has implications for the container shipping industry and global supply chains. Measuring the efficiency of major international container shipping companies (CSCs) is an important issue that helps them make strategic decisions to improve performance, especially in the context that all businesses and governments are adapting to build back better the post-pandemic world. This paper develops a new integrated approach using both a qualitative assessment tool and a performance assessment tool as a systematic and flexible framework for evaluating the container shipping industry. This new methodology is implemented in two phases to consider both qualitative and quantitative criteria for assessing the performance of CSCs based on efficiency. In the first phase, qualitative performance evaluation is performed using spherical fuzzy analytical hierarchical process (AHP-SF) to find criteria weights and then the grey complex proportional assessment methodology (COPRAS-G) is used to find the ranking of CSCs. Qualitative variables are converted into a quantitative variable for use in the data envelopment analysis (DEA) model as an output called an output variable called expert-based qualitative performance (EQP). Then, DEA is performed to identify efficient and inefficient CSCs with the EQP variable and other quantitative parameters (i.e., capacity, lifting, expenses, revenue, and CO2 emissions). The efficiency of 14 major global CSCs is empirically evaluated, and the scores for CSCs’ efficiency in all dimensions are measured and examined. The results show that the average cargo efficiency of the CSCs is lower than their eco-efficiency performance, revealing the operational disruption caused by the pandemic. Moreover, by identifying efficient and inefficient CSCs, our findings provide practical implications for decision-makers in the maritime field and assist in modifying applicable policies and strategies to achieve sustainable performance. Full article
(This article belongs to the Special Issue Fuzzy Logic and Application in Multi-Criteria Decision-Making (MCDM))
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30 pages, 1064 KiB  
Article
Selection of Business Process Modeling Tool with the Application of Fuzzy DEMATEL and TOPSIS Method
by Guangying Jin, Guangzhe Jin and Haibo Huo
Axioms 2022, 11(11), 601; https://doi.org/10.3390/axioms11110601 - 28 Oct 2022
Cited by 2 | Viewed by 1401
Abstract
The business process modeling tool selection problem has a significant impact on the overall performance of enterprise business process modeling, which will directly affect the development of enterprise information systems. Apart from that, the process to select the business process modeling tool from [...] Read more.
The business process modeling tool selection problem has a significant impact on the overall performance of enterprise business process modeling, which will directly affect the development of enterprise information systems. Apart from that, the process to select the business process modeling tool from all alternatives is a Multi-Criteria Decision Making (MCDM) problem. This paper develops a methodology based on the hybrid fuzzy Decision-Making Trial and Evaluation Laboratory (DEMATEL) and Technique for Order Performance by Similarity to Ideal Solution (TOPSIS) method to help companies select the optimal business process modeling tool, where the business process modeling process is more efficient, economic and safe. The proposed method has the following state-of-the-art contributions and features: (1) the latest application of the MCDM methodology to the field of BPM tool selection, (2) addressing the direct and indirect impact between criteria in the selection of BPM tools, and (3) considering the hybrid fuzzy (uncertainty) decision-making issue in the BPM tool selection process. Meanwhile, the mathematical formula in TOPSIS can be regarded as a formula for solving a symmetric problem. The hybrid fuzzy DEMATEL method is used to obtain the weight for the criteria to be considered in the BPM tool selection process, and the TOPSIS method is used to obtain the final business process modeling tool. Full article
(This article belongs to the Special Issue Fuzzy Logic and Application in Multi-Criteria Decision-Making (MCDM))
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17 pages, 896 KiB  
Article
Green Supplier Selection in an Uncertain Environment in Agriculture Using a Hybrid MCDM Model: Z-Numbers–Fuzzy LMAW–Fuzzy CRADIS Model
by Adis Puška, Darko Božanić, Miroslav Nedeljković and Miljojko Janošević
Axioms 2022, 11(9), 427; https://doi.org/10.3390/axioms11090427 - 25 Aug 2022
Cited by 33 | Viewed by 1730
Abstract
The goal of this research was to find a selection of green suppliers (GSS) that will, in the best way, help agricultural producers to apply green agricultural production using uncertainty in decision making. In order to avoid the possibility of uncertainty in the [...] Read more.
The goal of this research was to find a selection of green suppliers (GSS) that will, in the best way, help agricultural producers to apply green agricultural production using uncertainty in decision making. In order to avoid the possibility of uncertainty in the expert decision making, Z-numbers were used together with the fuzzy LMAW (Logarithm Methodology of Additive Weights) method and fuzzy CRADIS (Compromise Ranking of Alternatives from Distance to Ideal Solution) method. By applying Z-numbers and the fuzzy LMAW method, the weighting coefficients of the criteria were determined, where the experts, in addition to the criteria ratings, also defined the degrees of certainty in the criteria ratings they gave. The obtained results indicated that the criteria related to price and qualities are the most important during the selection process. To select the best alternative, the CRADIS method modified with Z-numbers and fuzzy numbers was applied. The results obtained by applying this method showed that suppliers A2 and A3 have the best characteristics and are the first choice for the procurement of raw and production materials. As part of the paper, the validation of the results and the sensitivity analysis of the model were carried out by conducting the procedure of comparing the obtained results with the results obtained by other MCDM methods and changing the weighting coefficients of the criteria. These analyses indicated that the model presented provides stable results. The conducted research showed how Z-numbers can be used to reduce uncertainty in decision making and how Z-numbers can be used with other fuzzy methods to perform GSS. Full article
(This article belongs to the Special Issue Fuzzy Logic and Application in Multi-Criteria Decision-Making (MCDM))
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