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Advances in Fuzzy Decision Theory and Applications
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Advances in Fuzzy Decision Theory and Applications

A special issue of Mathematics (ISSN 2227-7390). This special issue belongs to the section "Fuzzy Sets, Systems and Decision Making".

Deadline for manuscript submissions: closed (31 August 2023) | Viewed by 12942

Printed Edition Available!
A printed edition of this Special Issue is available here.

Special Issue Editors

Prof. Jun Ye

E-Mail Website
Guest Editor
School of Civil and Environmental Engineering, Ningbo University, Ningbo 315211, China
Interests: fuzzy theory and applications; soft computing; decision making theory and method
Special Issues, Collections and Topics in MDPI journals
Dr. Yanhui Guo

E-Mail Website
Guest Editor
Department of Data Analytics, University of Illinois Springfield, Springfield, IL 62703, USA
Interests: image processing; medical image processing; pattern recognition; computer vision; data science
Special Issues, Collections and Topics in MDPI journals

Special Issue Information

Dear Colleagues,

There is a particular level of incompleteness and uncertainty in complicated decision-making problems. Thus, the fuzzy set proposed by Zadeh has been widely used in the field of decision making. Due to the need for better and detailed membership functions in real decision-making problems, classical fuzzy sets have been extended to type-2 fuzzy sets, hesitant fuzzy sets, multivalued fuzzy sets, cubic sets, intuitionistic fuzzy sets, Pythagorean fuzzy sets, spherical fuzzy sets, neutrosophic sets, etc. Each of them is attracting significant attention in decision making, with these fuzzy theories being used in various decision-making applications. In recent years, various fuzzy theories have made new progress and achievements in various decision-making problems.

The focus of this Special Issue is the extension and applications of advanced fuzzy theory to solve various decision-making problems. Articles submitted to this Special Issue can also be concerned with various advanced fuzzy theories, fuzzy decision theories and methods, and applications in decision making. We invite researchers to contribute original research articles and review articles, which will stimulate continuous research on various fuzzy theories, fuzzy decision theories and methods, and applications to solve various decision-making problems.

Prof. Dr. Jun Ye
Dr. Yanhui Guo
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. Mathematics is an international peer-reviewed open access semimonthly 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 2600 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

  • fuzzy theory
  • fuzzy decision theory and method
  • decision making
  • multicriteria decision making
  • group decision making
  • engineering and scientific applications

Related Special Issue

Published Papers (10 papers)

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Research

19 pages, 1217 KiB  
Article
A Hybrid MCDM Approach Based on Fuzzy MEREC-G and Fuzzy RATMI
by Anas A. Makki and Reda M. S. Abdulaal
Mathematics 2023, 11(17), 3773; https://0-doi-org.brum.beds.ac.uk/10.3390/math11173773 - 02 Sep 2023
Cited by 3 | Viewed by 891
Abstract
Multi-criteria decision-making (MCDM) assists in making judgments on complex problems by evaluating several alternatives based on conflicting criteria. Several MCDM methods have been introduced. However, real-world problems often involve uncertain and ambiguous decision-maker inputs. Therefore, fuzzy MCDM methods have emerged to handle this [...] Read more.
Multi-criteria decision-making (MCDM) assists in making judgments on complex problems by evaluating several alternatives based on conflicting criteria. Several MCDM methods have been introduced. However, real-world problems often involve uncertain and ambiguous decision-maker inputs. Therefore, fuzzy MCDM methods have emerged to handle this problem using fuzzy logic. Most recently, the method based on the removal effects of criteria using the geometric mean (MEREC-G) and ranking the alternatives based on the trace to median index (RATMI) were introduced. However, to date, there is no fuzzy extension of the two novel methods. This study introduces a new hybrid fuzzy MCDM approach combining fuzzy MEREC-G and fuzzy RATMI. The fuzzy MEREC-G can accept linguistic input terms from multiple decision-makers and generates consistent fuzzy weights. The fuzzy RATMI can rank alternatives according to their fuzzy performance scores on each criterion. The study provides the algorithms of both fuzzy MEREC-G and fuzzy RATMI and demonstrates their application in adopted real-world problems. Correlation and scenario analyses were performed to check the new approach’s validity and sensitivity. The new approach demonstrates high accuracy and consistency and is sufficiently sensitive to changes in the criteria weights, yet not too sensitive to produce inconsistent rankings. Full article
(This article belongs to the Special Issue Advances in Fuzzy Decision Theory and Applications)
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19 pages, 2871 KiB  
Article
MemConFuzz: Memory Consumption Guided Fuzzing with Data Flow Analysis
by Chunlai Du, Zhijian Cui, Yanhui Guo, Guizhi Xu and Zhongru Wang
Mathematics 2023, 11(5), 1222; https://0-doi-org.brum.beds.ac.uk/10.3390/math11051222 - 02 Mar 2023
Viewed by 1494
Abstract
Uncontrolled heap memory consumption, a kind of critical software vulnerability, is utilized by attackers to consume a large amount of heap memory and consequently trigger crashes. There have been few works on the vulnerability fuzzing of heap consumption. Most of them, such as [...] Read more.
Uncontrolled heap memory consumption, a kind of critical software vulnerability, is utilized by attackers to consume a large amount of heap memory and consequently trigger crashes. There have been few works on the vulnerability fuzzing of heap consumption. Most of them, such as MemLock and PerfFuzz, have failed to consider the influence of data flow. We proposed a heap memory consumption guided fuzzing model named MemConFuzz. It extracts the locations of heap operations and data-dependent functions through static data flow analysis. Based on the data dependency, we proposed a seed selection algorithm in fuzzing to assign more energy to the samples with higher priority scores. The experiment results showed that the MemConFuzz has advantages over AFL, MemLock, and PerfFuzz with more quantity and less time consumption in exploiting the vulnerability of heap memory consumption. Full article
(This article belongs to the Special Issue Advances in Fuzzy Decision Theory and Applications)
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17 pages, 310 KiB  
Article
Some Operations and Properties of the Cubic Intuitionistic Set with Application in Multi-Criteria Decision-Making
by Shahzad Faizi, Heorhii Svitenko, Tabasam Rashid, Sohail Zafar and Wojciech Sałabun
Mathematics 2023, 11(5), 1190; https://0-doi-org.brum.beds.ac.uk/10.3390/math11051190 - 28 Feb 2023
Cited by 3 | Viewed by 1042
Abstract
This paper proposes some operations on the cubic intuitionistic set along with useful properties. We propose the internal cubic intuitionistic set (ICIS), the external cubic intuitionistic set (ECIS), P-order, R-order order (P-(R-) order), P-union, R-union (P-(R-) union), P-intersection, and R-intersection (P-(R-) intersection). We [...] Read more.
This paper proposes some operations on the cubic intuitionistic set along with useful properties. We propose the internal cubic intuitionistic set (ICIS), the external cubic intuitionistic set (ECIS), P-order, R-order order (P-(R-) order), P-union, R-union (P-(R-) union), P-intersection, and R-intersection (P-(R-) intersection). We further investigate several properties of the P-(R-) union and P-(R-) intersection of ICISs and ECISs, and present some examples in this context. Some important theorems related to ICISs and ECISs are also presented with proof. Finally, an application example is given to measure the effectiveness and significance of the proposed operations by solving a multi-criteria decision-making (MCDM) problem. Full article
(This article belongs to the Special Issue Advances in Fuzzy Decision Theory and Applications)
19 pages, 381 KiB  
Article
Study on Chaotic Multi-Attribute Group Decision Making Based on Weighted Neutrosophic Fuzzy Soft Rough Sets
by Fu Zhang and Weimin Ma
Mathematics 2023, 11(4), 1034; https://0-doi-org.brum.beds.ac.uk/10.3390/math11041034 - 18 Feb 2023
Cited by 1 | Viewed by 930
Abstract
In this article, we have proposed a multi-attribute group decision making (MAGDM) with a new scenario or new condition named Chaotic MAGDM, in which not only the weights of the decision makers (DMs) and the weights of the decision attributes are considered, but [...] Read more.
In this article, we have proposed a multi-attribute group decision making (MAGDM) with a new scenario or new condition named Chaotic MAGDM, in which not only the weights of the decision makers (DMs) and the weights of the decision attributes are considered, but also the familiarity of the DMs with the attributes are considered. Then we applied the weighted neutrosophic fuzzy soft rough set theory to Chaotic MAGDM and proposed a new algorithm for MAGDM. Moreover, we provide a case study to demonstrate the application of the algorithm. Our contributions to the literature are as follows: (1) familiarity is rubbed into MAGDM for the first time in the context of neutrosophic fuzzy soft rough sets; (2) a new MAGDM model based on neutrosophic fuzzy soft rough sets has been designed; (3) a sorting/ranking algorithm based on a neutrosophic fuzzy soft rough set is constructed. Full article
(This article belongs to the Special Issue Advances in Fuzzy Decision Theory and Applications)
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14 pages, 2587 KiB  
Article
A Novel Driving-Strategy Generating Method of Collision Avoidance for Unmanned Ships Based on Extensive-Form Game Model with Fuzzy Credibility Numbers
by Haotian Cui, Fangwei Zhang, Mingjie Li, Yang Cui and Rui Wang
Mathematics 2022, 10(18), 3316; https://0-doi-org.brum.beds.ac.uk/10.3390/math10183316 - 13 Sep 2022
Cited by 1 | Viewed by 1142
Abstract
This study aims to solve the problem of intelligent collision avoidance of unmanned ships at sea, and it proposes a novel driving strategy generating method of collision avoidance based on an extensive-form game mode with fuzzy credibility numbers. The innovation of this study [...] Read more.
This study aims to solve the problem of intelligent collision avoidance of unmanned ships at sea, and it proposes a novel driving strategy generating method of collision avoidance based on an extensive-form game mode with fuzzy credibility numbers. The innovation of this study is to propose an extensive-form game model of unmanned ships under the situation of two-sides clamping and verify the validity by fuzzy credibility. Firstly, this study divides the head-on situation of the ship at sea quantitatively to help the unmanned ship take targeted measures when making collision avoidance decisions. Secondly, this study adopts an extensive-form game model to model the problem of collision avoidance of an unmanned ship in the case of clamping on two sides. Thirdly, the extensive-form game model is organically combined with the fuzzy credibility degree to judge whether the collision avoidance game of unmanned ship achieves the optimal collision avoidance result. The effectiveness of the introduced game model is verified by case analysis and simulation. Finally, an illustrative example shows that the proposed mathematical model can better help unmanned ships make real-time game decisions at sea in the scenario of two-sides clamping effectively. Full article
(This article belongs to the Special Issue Advances in Fuzzy Decision Theory and Applications)
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15 pages, 313 KiB  
Article
Medical Diagnosis and Pattern Recognition Based on Generalized Dice Similarity Measures for Managing Intuitionistic Hesitant Fuzzy Information
by Majed Albaity and Tahir Mahmood
Mathematics 2022, 10(15), 2815; https://0-doi-org.brum.beds.ac.uk/10.3390/math10152815 - 08 Aug 2022
Cited by 5 | Viewed by 1104
Abstract
Pattern recognition is the computerized identification of shapes, designs, and reliabilities in information. It has applications in information compression, machine learning, statistical information analysis, signal processing, image analysis, information retrieval, bioinformatics, and computer graphics. Similarly, a medical diagnosis is a procedure to illustrate [...] Read more.
Pattern recognition is the computerized identification of shapes, designs, and reliabilities in information. It has applications in information compression, machine learning, statistical information analysis, signal processing, image analysis, information retrieval, bioinformatics, and computer graphics. Similarly, a medical diagnosis is a procedure to illustrate or identify diseases or disorders, which would account for a person’s symptoms and signs. Moreover, to illustrate the relationship between any two pieces of intuitionistic hesitant fuzzy (IHF) information, the theory of generalized dice similarity (GDS) measures played an important and valuable role in the field of genuine life dilemmas. The main influence of GDS measures is that we can easily obtain a lot of measures by using different values of parameters, which is the main part of every measure, called DGS measures. The major influence of this theory is to utilize the well-known and valuable theory of dice similarity measures (DSMs) (four different types of DSMs) under the assumption of the IHF set (IHFS), because the IHFS covers the membership grade (MG) and non-membership grade (NMG) in the form of a finite subset of [0, 1], with the rule that the sum of the supremum of the duplet is limited to [0, 1]. Furthermore, we pioneered the main theory of generalized DSMs (GDSMs) computed based on IHFS, called the IHF dice similarity measure, IHF weighted dice similarity measure, IHF GDS measure, and IHF weighted GDS measure, and computed their special cases with the help of parameters. Additionally, to evaluate the proficiency and capability of pioneered measures, we analyzed two different types of applications based on constructed measures, called medical diagnosis and pattern recognition problems, to determine the supremacy and consistency of the presented approaches. Finally, based on practical application, we enhanced the worth of the evaluated measures with the help of a comparative analysis of proposed and existing measures. Full article
(This article belongs to the Special Issue Advances in Fuzzy Decision Theory and Applications)
14 pages, 1608 KiB  
Article
A Ship Fire Escape Speed Correction Method Considering the Influence of Crowd Interaction
by Jingyuan Li, Weile Liu, Fangwei Zhang, Taiyang Li and Rui Wang
Mathematics 2022, 10(15), 2749; https://0-doi-org.brum.beds.ac.uk/10.3390/math10152749 - 03 Aug 2022
Cited by 4 | Viewed by 1138
Abstract
The aim of this study is to explore the effect of different personnel attributes and the relationship between different people on evacuation efficiency in the case of a passenger ship fire. As such, this study proposes a speed correction method that considers human [...] Read more.
The aim of this study is to explore the effect of different personnel attributes and the relationship between different people on evacuation efficiency in the case of a passenger ship fire. As such, this study proposes a speed correction method that considers human attributes and interactions between different populations. Firstly, a hesitant fuzzy set and hesitant fuzzy average operator are adopted to quantify four kinds of personnel attributes. Secondly, considering the influence of different people, this study extracts the formula for acceleration under the interactive influence of different groups of people. At the same time, based on the first-order linear relationship between velocity and acceleration, an interactive velocity correction method is presented in the evacuation of ship personnel. Finally, this study uses the personnel evacuation simulation software Pathfinder to conduct experiments, and introduces the corrected speed and the uncorrected speed into the evacuation simulation process, respectively. The results show that the simulation results of the revised speed plan are more consistent with reality. Full article
(This article belongs to the Special Issue Advances in Fuzzy Decision Theory and Applications)
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26 pages, 1947 KiB  
Article
A Hybrid Intuitionistic Fuzzy Group Decision Framework and Its Application in Urban Rail Transit System Selection
by Bing Yan, Yuan Rong, Liying Yu and Yuting Huang
Mathematics 2022, 10(12), 2133; https://0-doi-org.brum.beds.ac.uk/10.3390/math10122133 - 19 Jun 2022
Cited by 5 | Viewed by 1346
Abstract
The selection of an urban rail transit system from the perspective of green and low carbon can not only promote the construction of an urban rail transit system but also have a positive impact on urban green development. Considering the uncertainty caused by [...] Read more.
The selection of an urban rail transit system from the perspective of green and low carbon can not only promote the construction of an urban rail transit system but also have a positive impact on urban green development. Considering the uncertainty caused by different conflict criteria and the fuzziness of decision-making experts’ cognition in the selection process of a rail transit system, this paper proposes a hybrid intuitionistic fuzzy MCGDM framework to determine the priority of a rail transit system. To begin with, the weights of experts are determined based on the improved similarity method. Secondly, the subjective weight and objective weight of the criterion are calculated, respectively, according to the DEMATEL and CRITIC methods, and the comprehensive weight is calculated by the linear integration method. Thirdly, considering the regret degree and risk preference of experts, the COPRAS method based on regret theory is propounded to determine the prioritization of urban rail transit system ranking. Finally, urban rail transit system selection of City N is selected for the case study to illustrate the feasibility and effectiveness of the developed method. The results show that a metro system (P1) is the most suitable urban rail transit system for the construction of city N, followed by a municipal railway system (P7). Sensitivity analysis is conducted to illustrate the stability and robustness of the designed decision framework. Comparative analysis is also utilized to validate the efficacy, feasibility and practicability of the propounded methodology. Full article
(This article belongs to the Special Issue Advances in Fuzzy Decision Theory and Applications)
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15 pages, 314 KiB  
Article
Group Decision-Making Problems Based on Mixed Aggregation Operations of Interval-Valued Fuzzy and Entropy Elements in Single- and Interval-Valued Fuzzy Environments
by Weiming Li and Jun Ye
Mathematics 2022, 10(7), 1077; https://0-doi-org.brum.beds.ac.uk/10.3390/math10071077 - 27 Mar 2022
Cited by 2 | Viewed by 1303
Abstract
Fuzzy sets and interval-valued fuzzy sets are two kinds of fuzzy information expression forms in real uncertain and vague environments. Their mixed multivalued information expression and operational problems are very challenging and indispensable issues in group decision-making (GDM) problems. To solve single- and [...] Read more.
Fuzzy sets and interval-valued fuzzy sets are two kinds of fuzzy information expression forms in real uncertain and vague environments. Their mixed multivalued information expression and operational problems are very challenging and indispensable issues in group decision-making (GDM) problems. To solve single- and interval-valued fuzzy multivalued hybrid information expression, operations, and GDM issues, this study first presents the notion of a single- and interval-valued fuzzy multivalued set/element (SIVFMS/SIVFME) with identical and/or different fuzzy values. To effectively solve operational problems for various SIVFME lengths, SIVFMS/SIVFME is converted into the interval-valued fuzzy and entropy set/element (IVFES/IVFEE) based on the mean and information entropy of SIVFME. Then, the operational relationships of IVFEEs and the expected value function and sorting rules of IVFEEs are defined. Next, the IVFEE weighted averaging and geometric operators and their mixed-weighted-averaging operation are proposed. In terms of the mixed-weighted-averaging operation and expected value function of IVFEEs, a GDM method is developed to solve multicriteria GDM problems in the environment of SIVFMSs. Finally, the proposed GDM method was utilized for a supplier selection problem in a supply chain as an actual sample to show the rationality and efficiency of SIVFMSs. Through the comparative analysis of relative decision-making methods, we found the superiority of this study in that the developed GDM method not only compensates for the defects of existing GDM methods, but also makes the GDM process more reasonable and flexible. Full article
(This article belongs to the Special Issue Advances in Fuzzy Decision Theory and Applications)
19 pages, 2179 KiB  
Article
An Intelligent Expert Combination Weighting Scheme for Group Decision Making in Railway Reconstruction
by Lihua Zeng, Haiping Ren, Tonghua Yang and Neal Xiong
Mathematics 2022, 10(4), 549; https://0-doi-org.brum.beds.ac.uk/10.3390/math10040549 - 10 Feb 2022
Cited by 5 | Viewed by 1127
Abstract
The intuitionistic fuzzy entropy has been widely used in measuring the uncertainty of intuitionistic fuzzy sets. In view of some counterintuitive phenomena of the existing intuitionistic fuzzy entropies, this article proposes an improved intuitionistic fuzzy entropy based on the cotangent function, which not [...] Read more.
The intuitionistic fuzzy entropy has been widely used in measuring the uncertainty of intuitionistic fuzzy sets. In view of some counterintuitive phenomena of the existing intuitionistic fuzzy entropies, this article proposes an improved intuitionistic fuzzy entropy based on the cotangent function, which not only considers the deviation between membership and non-membership, but also expresses the hesitancy degree of decision makers. The analyses and comparison of the data show that the improved entropy is reasonable. Then, a new IF similarity measure whose value is an IF number is proposed. The intuitionistic fuzzy entropy and similarity measure are applied to the study of the expert weight in group decision making. Based on the research of the existing expert clustering and weighting methods, we summarize an intelligent expert combination weighting scheme. Through the new intuitionistic fuzzy similarity, the decision matrix is transformed into a similarity matrix, and through the analysis of threshold change rate and the design of risk parameters, reasonable expert clustering results are obtained. On this basis, each category is weighted; the experts in the category are weighted by entropy weight theory, and the total weight of experts is determined by synthesizing the two weights. This scheme provides a new method in determining the weight of experts objectively and reasonably. Finally, the method is applied to the evaluation of railway reconstruction scheme, and an example shows the feasibility of the method. Full article
(This article belongs to the Special Issue Advances in Fuzzy Decision Theory and Applications)
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