An alternative approach for solving fuzzy matrix games
Journal: International Journal of Mathematics and Soft Computing (Vol.5, No. 1)Publication Date: 2015.01.01
Authors : Mijanur Rahaman Seikh; Prasun Kumar Nayak; Madhumangal Pal;
Page : 79-92
Keywords : Fuzzy game theory; Mathematical programming; Triangular fuzzy numbers; Interval number; Multi-objective optimization; Linear programming.;
Abstract
In this paper, two-person matrix games is considered whose elements of pay-off matrix are triangular fuzzy numbers (TFNs). To solve such game a new method based on _-cut of TFN is developed for each of the players. In this method, two auxiliary bi-objective linear programming (BOLP) models are derived. Then using average weighted approach these two BOLP models are decomposed into two auxiliary crisp linear programming (LP) problems. Finally, the value of the matrix game for each player is obtained by solving two corresponding auxiliary LP problems using the existing simplex method. Validity and applicability of this method are illustrated with practical example compared to existing methods.
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