Solution of rectangular fuzzy games

Solution of rectangular fuzzy games

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Article ID: iaor20083338
Country: India
Volume: 44
Issue: 3
Start Page Number: 211
End Page Number: 226
Publication Date: Sep 2007
Journal: OPSEARCH
Authors: ,
Keywords: fuzzy sets
Abstract:

A solution of m×n rectangular fuzzy game with payoff as imprecise numbers instead of crisp real numbers namely interval and triangular fuzzy numbers is considered here. Solution of such fuzzy games with pure strategies and the algebraic method to solve 2×2 fuzzy game without saddle point by using mixed strategies is also discussed. Here the m×n payoff matrix is reduced to 2×2 payoff matrix by dominance method. In this paper, we discuss a saddle point solution from an uncertain payoff matrix. Moreover solution method for fuzzy games has also been developed. Numerical example is provided to illustrate the method.

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