Solving matrix games with Atanassov’s I-fuzzy goals via indeterminacy resolution approach

Abstract

This paper studies two person zero sum matrix games with Atanassov’s I-fuzzy goals. The indeterminacy factor in the goals of each player is resolved using Yager’s indeterminacy resolution principle [38] and Hurwicz optimism-pessimism criterion [20]. This game is shown to be equivalent to two fuzzy linear programming problems involving piecewise linear membership functions. The crisp equivalent of theses problems are formulated using Yang et al. [39] and Inuiguchi et al. [21] approaches.

Keywords:

• I-fuzzy set
• Piecewise linear membership function
• Zero sum matrix game
• Indeterminacy resolving criterion
• I-fuzzy goals