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Iranian Journal of Fuzzy Systems، جلد ۷، شماره ۱، صفحات ۶۵-۷۹
عنوان فارسی BI-MATRIX GAMES WITH INTUITIONISTIC FUZZY GOALS
چکیده فارسی مقاله 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.
کلیدواژه‌های فارسی مقاله Bi-matrix game، Nash equilibrium، Intuitionistic fuzzy sets، Fuzzy optimization، Intuitionistic fuzzy optimization،
عنوان انگلیسی BI-MATRIX GAMES WITH INTUITIONISTIC FUZZY GOALS
چکیده انگلیسی مقاله 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.
کلیدواژه‌های انگلیسی مقاله Bi-matrix game, Nash equilibrium, Intuitionistic fuzzy sets, Fuzzy optimization, Intuitionistic fuzzy optimization
نویسندگان مقاله prasun کومار nayak | prasun kumar
department of mathematics, bankura christian college, p.o. dist- bankura, west bengal,722101, india

madhumangal پالیزبان |
department of applied mathematics with oceanology and computer programming, vidyasagar university, midnapore-721 102, india

نشانی اینترنتی http://ijfs.usb.ac.ir/article_162_2cfcb7b16ba7eb37bf63f20ae72666b8.pdf
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