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Seikh, M. R., Karmakar, S., Castillo, O.. (1400). A novel defuzzification approach of type-2 fuzzy variable to solving matrix games: An application to plastic ban problem. نشریه علمی دانشگاه سیستان و بلوچستان, 18(5), 155-172. doi: 10.22111/ijfs.2021.6262
M. R. Seikh; S. Karmakar; O. Castillo. "A novel defuzzification approach of type-2 fuzzy variable to solving matrix games: An application to plastic ban problem". نشریه علمی دانشگاه سیستان و بلوچستان, 18, 5, 1400, 155-172. doi: 10.22111/ijfs.2021.6262
Seikh, M. R., Karmakar, S., Castillo, O.. (1400). 'A novel defuzzification approach of type-2 fuzzy variable to solving matrix games: An application to plastic ban problem', نشریه علمی دانشگاه سیستان و بلوچستان, 18(5), pp. 155-172. doi: 10.22111/ijfs.2021.6262
Seikh, M. R., Karmakar, S., Castillo, O.. A novel defuzzification approach of type-2 fuzzy variable to solving matrix games: An application to plastic ban problem. نشریه علمی دانشگاه سیستان و بلوچستان, 1400; 18(5): 155-172. doi: 10.22111/ijfs.2021.6262

A novel defuzzification approach of type-2 fuzzy variable to solving matrix games: An application to plastic ban problem

Iranian Journal of Fuzzy Systems
دوره 18، شماره 5، آذر و دی 2021، صفحه 155-172    اصل مقاله (272.2 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22111/ijfs.2021.6262
نویسندگان
M. R. Seikh* 1؛ S. Karmakar1؛ O. Castillo2
1Department of Mathematics, Kazi Nazrul University, Asansol-713 340, India
2Tijuana Institute of Technology, Tijuana, Mexico
چکیده
The novelty of the type-2 fuzzy variable (T2FV) is its fuzzy secondary possibility distribution. Here, we aim to formulate a new defuzzification model of triangular type-2 fuzzy variables (TT2FVs) based on type reduction. We also show its superiority compared to other existing models by providing some numerical examples. Later, we develop a matrix game problem in the type-2 fuzzy environment to show the applicability of the proposed defuzzification method in a real-world situation. Based on this defuzzification method, two crisp linear programming models are derived, which are subsequently solved by the simplex method using LINGO 17.0 software. Also, the expected pay-off for the maximizing player is calculated as TT2FV, which is desirable. Finally, to show the validity and applicability, the proposed methodology is illustrated with the plastic ban problem.
کلیدواژه‌ها
Matrix game؛ triangular type-2 fuzzy variable؛ type reduction؛ ranking function؛ plastic ban problem
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