Bi-matrix Games with Fuzzy Strategies and Fuzzy Payoffs and Their Mathematical Programming Equivalents

被引：1
|
作者：
高璟 [1 ,2 ]
张强 [1 ]
机构：
[1] School of Management and Economics,Beijing Institute of Technology
[2] Department of Mathematics and Physics,Shanghai Institute of Technology
来源：
Journal of Beijing Institute of Technology | 2009年 / 18卷 / 03期
基金：
中国国家自然科学基金;
关键词：
fuzzy bi-matrix game; equilibrium solution; optimal strategies; mathematical programming;
D O I：
10.15918/j.jbit1004-0579.2009.03.009
中图分类号：
O159 [模糊数学]; O221 [规划论（数学规划）];
学科分类号：
070104 ; 070105 ; 1201 ;
摘要：
A fuzzy bi-matrix game(FBG),namely a two-person non-zero-sum game with fuzzy strategies and fuzzy payoffs is proposed.We have defined and analyzed the optimal strategies of this FBG,and shown that it can be transformed into a corresponding fuzzy mathematical programming issue,for which a ranking function approach can be applied.In addition,optimal strategies of FBG for both Player I and Player II can be gotten.
引用
收藏
页码：370 / 374
页数：5
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