Fuzzy Soft Games

被引：13

作者：

Deli, Irfan ^{[1
]}

Cagman, Naim ^{[2
]}

机构：

[1] Kilis 7 Aralik Univ, Muallim Rifat Fac Educ, TR-79000 Kilis, Turkey

[2] Gaziosmanpasa Univ, Fac Arts & Sci, Dept Math, TR-60250 Tokat, Turkey

来源：

FILOMAT | 2015年 / 29卷 / 09期

关键词：

Soft sets; fuzzy set; fuzzy soft payoff; Nash equilibrium; Probabilistic equilibrium solution; SET-THEORY; EQUILIBRIUM STRATEGY; MATRIX GAMES;

D O I：

10.2298/FIL1509901D

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this work, after introduce the definition of fuzzy soft sets and their basic operations we define two person fuzzy soft games which can apply to problems contain vagueness and uncertainty. We then give four different types solution methods of the games which are fuzzy soft saddle points, fuzzy soft lower and upper values, fuzzy soft dominated strategies and fuzzy soft Nash equilibrium. We also give a probabilistic equilibrium solution method for the two persons fuzzy soft games (tpfs-games) which show that every finite tpfs-game with probabilistic strategies has one solution. Finally, we give an application which shows that the methods can be successfully applied to a financial problem and extended the two person fuzzy soft games to n-person fuzzy soft games.

引用

页码：1901 / 1917

页数：17

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