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GAO Jing, ZHANG Qiang. Bi-matrix Games with Fuzzy Strategies and Fuzzy Payoffs and Their Mathematical Programming Equivalents[J]. JOURNAL OF BEIJING INSTITUTE OF TECHNOLOGY, 2009, 18(3): 370-374.
Citation: GAO Jing, ZHANG Qiang. Bi-matrix Games with Fuzzy Strategies and Fuzzy Payoffs and Their Mathematical Programming Equivalents[J].JOURNAL OF BEIJING INSTITUTE OF TECHNOLOGY, 2009, 18(3): 370-374.
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Bi-matrix Games with Fuzzy Strategies and Fuzzy Payoffs and Their Mathematical Programming Equivalents

  • 1.

    School of Management and Economics, Beijing Institute of Technology, Beijing 100081, China;Department of Mathematics and Physics, Shanghai Institute of Technology, Shanghai 200235, China

  • 2.

    School of Management and Economics, Beijing Institute of Technology, Beijing 100081, China

  • Received Date:2008-06-27
    Abstract
  • 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.
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    • References (8)
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