Group Decision Making by Using Incomplete Fuzzy Preference Relations Based on<i>T</i>-Consistency and the Order Consistency

Although fuzzy preference relations (FPRs) are among the most commonly used preference models in group decision making (GDM), they are not free from drawbacks. First of all, especially when dealing with many alternatives, the definition of FPRs becomes complex and time consuming. Moreover, they allow to focus on only two options at a time. This facilitates the expression of preferences but let experts lose the global perception of the problem with the risk of introducing inconsistencies that impact negatively on the whole decision process. For these reasons, different preference models are often adopted in real GDM settings and, if necessary, transformation functions are applied to obtain equivalent FPRs. In this paper, we propose fuzzy rankings, a new approximate preference model that offers a higher level of user‐friendliness with respect to FPRs while trying to maintain an adequate level of expressiveness. Fuzzy rankings allow experts to focus on two alternatives at a time without losing the global picture so reducing inconsistencies. Conversion algorithms from fuzzy rankings to FPRs and backward are defined as well as similarity measures, useful when evaluating the concordance between experts’ opinion. A comparison of the proposed model with related works is reported as well as several explicative examples.

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“…Sometimes, due to domain complexity, limited expertise or pressure to make a decision, experts define incomplete FPRs . In Refs.…”

Section: Background Concepts On Gdmmentioning

confidence: 99%

“…Sometimes, due to domain complexity, limited expertise or pressure to make a decision, experts define incomplete FPRs. 24,25 In Refs. 26 and 27, a method to estimate missing FPR values applying reciprocity and additive transitivity properties is proposed, while in Refs.…”

Section: Background Concepts On Gdmmentioning

confidence: 99%

Fuzzy rankings for preferences modeling in group decision making

Capuano

Chiclana

Herrera‐Viedma

et al. 2018

Int. J. Intell. Syst.

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A Logical Multidemand Bargaining Model with Integrity Constraints

Jing

Zhang

Luo

et al. 2015

Int. J. Intell. Syst.

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This paper proposes a logical model of multi-demand bargaining with integrity constraints. We also construct a simultaneous concession solution to bargaining games of this kind and show that the solution is uniquely characterized by a set of logical properties. Moreover, we prove that the solution also satisfies the most fundamental game theoretic properties such as symmetry and Pareto optimality. In addition, by lots of simulation experiments we study how the number of conflicting demands, bargainers' risk attitude, and bargainer number influence the bargaining success rate and efficiency as well as the agreement quality. C 2015 Wiley Periodicals, Inc.

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Introduction

2023

Deriving Priorities From Incomplete Fuzzy Reciprocal Preference Relations

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Group Decision Making by Using Incomplete Fuzzy Preference Relations Based onT-Consistency and the Order Consistency

Abstract: This paper presents a new method to estimate the unknown values in an incomplete interval-valued fuzzy preference relations (IVFPRs). The method is based on the min-consistency and is used to develop the algorithm for group decision making GDM dealing with incomplete IVFPRs.

Cited by 11 publications

References 33 publications

Fuzzy rankings for preferences modeling in group decision making

Fuzzy rankings for preferences modeling in group decision making

A Logical Multidemand Bargaining Model with Integrity Constraints

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