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Method for Solving the Fuzzy Matrix Game Based on Structured Element

  • Guimei Li
  • Sizong Guo
  • Qian Zhang
Part of the Advances in Intelligent and Soft Computing book series (AINSC, volume 78)

Abstract

An approach to get the Nash equilibrium solution of fuzzy matrix game is proposed in this paper. At first, the solution of fuzzy coefficient linear programming is given based on the structured element expression of fuzzy number and the structured element weighted order. Then fuzzy coefficient linear programming is transformed into classical linear programming by using the homeomorphism property between fuzzy number space and the family of standard monotone functions in [-1, 1], which simplifies the solving process of fuzzy Nash equilibrium. Finally, an example is presented to compare the method we proposed with other methods, from which a conclusion may be drawn that the method we proposed is of more validity and practicability.

Keywords

Fuzzy matrix game Nash equilibrium Structured element Order 

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Copyright information

© Springer-Verlag Berlin Heidelberg 2010

Authors and Affiliations

  • Guimei Li
    • 1
  • Sizong Guo
    • 1
  • Qian Zhang
    • 1
  1. 1.Institute of Systems Science and MathematicsLiaoning Technical UniversityFuxinChina

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