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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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[1] K. Atanassov, Intuitionistic fuzzy sets: theory and applications, Physica-Verlag, 1999. [2] P. P. Angelov,Optimization in an intuitinistic fuzzy enviornment, Fuzzy Sets and Systems, 86 (1997), 299-306. [3] C. R. Bector, S. Chandra and V. Vijay, Bi-matrix games with fuzzy payoffs and fuzzy goals, Fuzzy Optimization and Decision Making, 3 (2004), 327-344. [4] T. Basar and G. J. Olsder, Dynamic non-cooperative game theory, Academic Press, New York, 1995. [5] L. Campos, Fuzzy linear programming models to solve fuzzy matrix games, Fuzzy Sets and Systems, 32 (1989), 275-289. [6] D. Dubois and H. Prade, Fuzzy sets and systems, Academic Press, New York, 1980. [7] T. Maeda, Characterization of the equilibrium strategy of bi-matrix games with fuzzy payoffs, Journal of Mathematical Analysis and Applications, 251 (2000), 885-896. [8] J. V. Neumann and O. Morgenstern, Theory of games and economic behaviour, Princeton University Press, Princeton, New Jersey, 1944 . [9] J. F. Nash, Non cooperative games, Annals of Mathematics, 54 (1951), 286-295. [10] P. K. Nayak and M. Pal, Solution of interval games using graphical method, Tamsui Oxford Journal of Mathematical Sciences, 22(1) (2006), 95-115. [11] P. K. Nayak and M. Pal, Bi-matrix games with intuitionistic fuzzy payoffs, Notes on Intuitionistic Fuzzy Sets, 13(3) (2007), 1-10. [12] P. K. Nayak and M. Pal, Bi-matrix games with interval payoffs and its Nash equilibrium strategy, Asia specific Journal of Operational Research, 26(2) (2009), 285-305. [13] P. K. Nayak and M. Pal, Bi-matrix games with interval payoffs and its Nash equyilibrium strategy, Journal of Fuzzy Mathematics, 17(2) (2009). [14] Z. Peng, L. Dagang and W. Guangyuan, Idea and principle of intuitionistic fuzzy optimization, htpp://www.paper.edu.cn. [15] S. K. Roy, M. P. Biswal and R. N. Tiwari, An approach to multi-objective bimatrix games of Nash equilibrium solutions, Ricerca Operativa , 30(93) (2001), 47-64. [16] M. Sakawa and I. Nishizaki, Max-min solution for fuzzy multiobjective matrix games, Fuzzy Sets and Systems, 67 (1994), 53-69. [17] M. Sakawa and I. Nishizaki, Equilibrium solution in bi-matrix games with fuzzy payoffs, Japanse Fuzzy Theory and Systems, 9(3) (1997), 307-324. [18] L. A. Zadeh, Fuzzy sets, Information and Control, 8 (1965), 338-352. | ||
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