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BI-MATRIX GAMES WITH INTUITIONISTIC FUZZY GOALS | ||
| Iranian Journal of Fuzzy Systems | ||
| مقاله 7، دوره 7، شماره 1، اردیبهشت 2010، صفحه 65-79 اصل مقاله (202.33 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22111/ijfs.2010.162 | ||
| نویسندگان | ||
| Prasun Kumar Nayak* 1؛ Madhumangal Pal2 | ||
| 1Department of Mathematics, Bankura Christian College, P.O.+ Dist- Bankura, West Bengal,722101, India | ||
| 2Department of Applied Mathematics with Oceanology and Computer Programming, Vidyasagar University, Midnapore-721 102, India | ||
| چکیده | ||
| In this paper, we present an application of intuitionistic fuzzy programming to a two person bi-matrix game (pair of payoffs matrices) for the solution with mixed strategies using linear membership and non-membership functions. We also introduce the intuitionistic fuzzy(IF) goal for a choice of a strategy in a payoff matrix in order to incorporate ambiguity of human judgements; a player wants to maximize his/her degree of attainment of the IF goal. It is shown that this solution is the optimal solution of a mathematical programming problem. Finally, we present a numerical example to illustrate the methodology. | ||
| کلیدواژهها | ||
| Bi-matrix game؛ Nash equilibrium؛ Intuitionistic fuzzy sets؛ Fuzzy optimization؛ Intuitionistic fuzzy optimization | ||
| مراجع | ||
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