نوع مقاله : مقاله پژوهشی
نویسندگان
1 گروه ریاضی، دانشکده علوم ریاضی و آمار، دانشگاه بیرجند، ایران
2 گروه مهندسی صنایع، دانشکده مهندسی کامپیوتر و صنایع، دانشگاه صنعتی بیرجند، بیرجند، ایران
چکیده
کلیدواژهها
موضوعات
عنوان مقاله [English]
نویسندگان [English]
In this paper a bi-level game problem with L-R fuzzy coefficients is studied. Using the concept of alpha-cut, this problem is converted to a bi-level problem with nonfuzzy coefficients. Three kinds of optimistic, pessimistic and intermediate solution are introduced for the problem, by considering the status of decision makers, and in each case, the bi-level problem is converted to a single-level problem using the Karush–Kuhn–Tucker optimality conditions. Finally, an interactive algorithm is proposed that obtains the appropriate solution for the decision maker. At the end of the paper, an economic example and a case study for the production of polyethylene bags are presented and solved by the proposed algorithm.
کلیدواژهها [English]
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