Journal of Systems Engineering and Electronics ›› 2009, Vol. 31 ›› Issue (5): 1231-1234.

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Study on the optimal strategies solution of triangular fuzzy matrix game

WU Shi-hui, YANG Jian-jun, GUO Nai-lin   

  1. The Missile Inst., Air Force Engineering Univ., Sanyuan 713800, China
  • Received:2008-03-21 Revised:2008-06-06 Online:2009-05-20 Published:2010-01-03

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Abstract: Because of the limitation of human cognition and uncertain factors such as incomplete information,there exists the game with payoffs given by triangular fuzzy numbers(TFN).The optimal solution to the game problem is studied.Based on the operation laws and comparison laws for TFN,the judgment rule for pure strategy solution on the basis of possibility is presented,and the method to the solution of the game with 2×2 TFN matrix is also proposed.In the end,two numerical examples are given to illustrate the proposed judgment rule and method respectively.

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