نوع مقاله : مقاله پژوهشی
نویسندگان
1 استادیار تحقیق در عملیات، دانشگاه فرماندهی و ستاد آجا، تهران، ایران.
2 پژوهشگر، پژوهشکده عالی جنگ، دانشگاه فرماندهی و ستاد آجا، تهران، ایران.
چکیده
کلیدواژهها
موضوعات
عنوان مقاله [English]
نویسندگان [English]
War environment is a conflict situation and operations research is one of the techniques used to decision making and decision taking in different battle situations. In such a situation, choosing the best strategy for the commander is very important. In this article, game theory is used to model the conflict situation, which is one of the most widely used methods in the military field. After modeling the problem as a matrix game, an analytical hierarchy method is proposed to determine the payoffs and prioritize the game outputs. On the other hand, due to the fact that in the real world, information is presented inaccurately and vaguely, fuzzy neutrosophic sets have been used to express this information. A solving method of analytical hierarchy problem with fuzzy neutrosophic data is proposed and then the game problem solving with the outputs of the analytical hierarchy method is discussed. To solve the matrix game with fuzzy neutrosophic payoffs, the concept of approximation of the nearest generalized triangular fuzzy neutrosophic fuzzy number is used and the game model is written as a problem with interval payoffs. Then, a method is proposed to solve this game problem. Finally, the solution of an example in military problems is examined by the proposed method. To solve this problem, two optimistic and pessimistic problems have been proposed for each player, and by solving these problems, the optimal solutions of the players can be obtained in both optimistic and pessimistic states.
کلیدواژهها [English]
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