Linguisitc representation of Nash equilibriums in fuzzy games

Sharifian, Setareh; Chakeri, Alireza; Sheikholeslam, Farid

doi:10.1109/nafips.2010.5548187

Cited by 9 publications

(9 citation statements)

References 22 publications

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“…In order to deal with this game model, a new approach was put forward. Moreover, Sharifian et al [27] also applied fuzzy linguistic preference relation to the the fuzzy game theory. Hladik [15] introduced interval bi-matrix games and obtained the conclusion that the equilibrium solution of interval bi-matrix game can be changed into the linear mixed integer optimization problem.…”

Section: Introductionmentioning

confidence: 99%

Solving Fuzzy Bi-matrix Games Through a Interval Value Function Approach

K¹,

Xing²

2018

Preprint

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Section: Introductionmentioning

confidence: 99%

Solving Fuzzy Bi-matrix Games Through a Interval Value Function Approach

K¹,

Xing²

2018

Preprint

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“…Therefore, the uncertainty should be considered in the game theory problems [8]. In the recent past, there have been attempts to extend the results of crisp game theory to those conflict resolution problems that are fuzzy in nature, e.g., Sharifan et al [9], Faizi et al [10], and Sun et al [11]. These developments have lead to the emergence of a new area in the literature called fuzzy games.…”

Section: Introductionmentioning

confidence: 99%

Intuitionistic-Fuzzy Goals in Zero-Sum Multi Criteria Matrix Games

et al. 2017

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Abstract:The classical matrix theory is deficient to express the vagueness of the real life. The fuzzy set theory has been successfully applied to bridge this gap. Much work has already been done on a two-person zero sum matrix game with fuzzy goals. In continuation, this paper is dedicated to define and study a multi-criteria two-person zero sum game with intuitionistic fuzzy goals. It is shown that solving such games is equivalent to solving two crisp multi object linear programming problems. Our work generalizes the previous study on a multi-criteria game with fuzzy goals by adopting the approach of linear programming with intuitionistic fuzzy sets. Finally, an illustrative numerical example is provided to elaborate the proposed approach.

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“…In order to deal with this game model, a new approach is put forward. Moreover, Sharifian et al [28] also applied fuzzy linguistic preference relation to fuzzy game theory.…”

Section: Introductionmentioning

confidence: 99%

Solving Multi-Objective Matrix Games with Fuzzy Payoffs through the Lower Limit of the Possibility Degree

2017

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Abstract:In this article, we put forward the multi-objective matrix game model based on fuzzy payoffs. In order to solve the game model, we first discuss the relationship of two fuzzy numbers via the lower limit− 1 2 of the possibility degree. Then, utilizing this relationship, we conclude that the equilibrium solution of this game model and the optimal solution of multicriteria linear optimization problems are of equal value. Finally, to illustrate the effectiveness and correctness of the obtained model, an example is provided.

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Linguisitc representation of Nash equilibriums in fuzzy games

Cited by 9 publications

References 22 publications

Solving Fuzzy Bi-matrix Games Through a Interval Value Function Approach

Solving Fuzzy Bi-matrix Games Through a Interval Value Function Approach

Intuitionistic-Fuzzy Goals in Zero-Sum Multi Criteria Matrix Games

Solving Multi-Objective Matrix Games with Fuzzy Payoffs through the Lower Limit of the Possibility Degree

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