Fuzzy Nash Equilibriums in Crisp and Fuzzy Games

被引：25

作者：

Chakeri, Alireza ^{[1
]}

Sheikholeslam, Farid ^{[1
]}

机构：

[1] Isfahan Univ Technol, Dept Elect & Comp Engn, Esfahan, Iran

来源：

IEEE TRANSACTIONS ON FUZZY SYSTEMS | 2013年 / 21卷 / 01期

关键词：

Fuzzy game; fuzzy Nash equilibrium; fuzzy preference relation; fuzzy value; satisfaction function (SF); MATRIX GAMES; PROGRAMMING APPROACH; PAYOFFS; STRATEGY;

D O I：

10.1109/TFUZZ.2012.2203308

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

In this paper, we introduce fuzzy Nash equilibrium to determine a graded representation of Nash equilibriums in crisp and fuzzy games. This interpretation shows the distribution of equilibriums in the matrix form of a game and handles uncertainties in payoffs. In addition, a new method to rank fuzzy values with the user's viewpoint is investigated. By this means, the definition of satisfaction function, which provides the result of comparison in the form of real value, is developed when users have preferences regarding the payoffs.

引用

页码：171 / 176

页数：6

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