%0 Journal Article
%T BI-MATRIX GAMES WITH INTUITIONISTIC FUZZY GOALS
%J Iranian Journal of Fuzzy Systems
%I University of Sistan and Baluchestan
%Z 1735-0654
%A Nayak, Prasun Kumar
%A Pal, Madhumangal
%D 2010
%\ 02/04/2010
%V 7
%N 1
%P 65-79
%! BI-MATRIX GAMES WITH INTUITIONISTIC FUZZY GOALS
%K Bi-matrix game
%K Nash equilibrium
%K Intuitionistic fuzzy sets
%K Fuzzy
optimization
%K Intuitionistic fuzzy optimization
%R 10.22111/ijfs.2010.162
%X In this paper, we present an application of intuitionistic fuzzyprogramming to a two person bi-matrix game (pair of payoffs matrices) for thesolution with mixed strategies using linear membership and non-membershipfunctions. We also introduce the intuitionistic fuzzy(IF) goal for a choiceof a strategy in a payoff matrix in order to incorporate ambiguity of humanjudgements; a player wants to maximize his/her degree of attainment of the IFgoal. It is shown that this solution is the optimal solution of a mathematicalprogramming problem. Finally, we present a numerical example to illustratethe methodology.
%U https://ijfs.usb.ac.ir/article_162_2cfcb7b16ba7eb37bf63f20ae72666b8.pdf