Matrix games in intuitionistic fuzzy environment

Mijanur Rahaman Seikh, Prasun Kumar Nayak and Madhumangal Pal

International Journal of Mathematics in Operational Research, 2013, vol. 5, issue 6, 693-708

Abstract: This paper presents a new intuitionistic fuzzy optimisation (IFO) approach to solve matrix games under uncertainty. This approach is an application of the intuitionistic fuzzy set. First we have considered matrix game with intuitionistic fuzzy (IF) goals for each of a strategy in a payoff matrix in order to incorporate ambiguity of human judgements. The degree of membership is defined as the degree of satisfaction and the degree of nonmembership function have been taken for the degree of rejection. Then it converts the said problem into two conventional linear programming problems. Numerical example is provided to illustrate our approach.

Keywords: game theory; intuitionistic fuzzy sets; IFSs; intuitionistic fuzzy goals; intuitionistic fuzzy optimisation; IFO; fuzzy logic; matrix games; uncertainty; ambiguity; human judgement; linear programming. (search for similar items in EconPapers)
Date: 2013
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