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

Bi-matrix Games with Fuzzy Strategies and Fuzzy Payoffs and Their Mathematical Programming Equivalents
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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.
作者 高璟 张强
出处 《Journal of Beijing Institute of Technology》 EI CAS 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)
关键词 fuzzy bi-matrix game equilibrium solution optimal strategies mathematical programming fuzzy bi-matrix game equilibrium solution optimal strategies mathematical programming
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参考文献7

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