an interval-valued programming approach to matrix games with payoffs of triangular intuitionistic fuzzy numbers
نویسندگان
چکیده
the purpose of this paper is to develop a methodology for solving a new type of matrix games in which payoffs are expressed with triangular intuitionistic fuzzy numbers (tifns). in this methodology, the concept of solutions for matrix games with payoffs of tifns is introduced. a pair of auxiliary intuitionistic fuzzy programming models for players are established to determine optimal strategies and the value of the matrix game with payoffs of tifns. based on the cut sets and ranking order relations between tifns, the intuitionistic fuzzy programming models are transformed into linear programming models, which are solved using the existing simplex method. validity and applicability of the proposed methodology are illustrated with a numerical example of the market share problem.
منابع مشابه
An interval-valued programming approach to matrix games with payoffs of triangular intuitionistic fuzzy numbers
The purpose of this paper is to develop a methodology for solving a new type of matrix games in which payoffs are expressed with triangular intuitionistic fuzzy numbers (TIFNs). In this methodology, the concept of solutions for matrix games with payoffs of TIFNs is introduced. A pair of auxiliary intuitionistic fuzzy programming models for players are established to determine optimal strategies...
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عنوان ژورنال:
iranian journal of fuzzy systemsناشر: university of sistan and baluchestan
ISSN 1735-0654
دوره 11
شماره 2 2014
میزبانی شده توسط پلتفرم ابری doprax.com
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