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

作　　者：高璟 张强 

机构地区：[1]School of Management and Economics,Beijing Institute of Technology [2]Department of Mathematics and Physics,Shanghai Institute of Technology

出　　处：《Journal of Beijing Institute of Technology》2009年第3期370-374,共5页北京理工大学学报（英文版）

基　　金：Sponsored by the National Natural Science Foundation of China(70471063,70771010)

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.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.

关 键 词：fuzzy bi-matrix game equilibrium solution optimal strategies mathematical programming 

分 类 号：O159[理学—数学] O221[理学—基础数学]