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

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Seikh M.R.; Karmakar s.; CASTILLO O.

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Paper Information

Journal: Iranian Journal of Fuzzy Systems Year:2021 | Volume:18 | Issue:5 Page(s): 155-172

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Title

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

Author(s)

Seikh M.R. | Karmakar s. | CASTILLO O. | Issue Writer Certificate

Keywords

Matrix gameQ2

triangular type-2 fuzzy variableQ2

type reductionQ2

ranking functionQ2

plastic ban problemQ2

Abstract

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.

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APA: Copy

Seikh, M.R., Karmakar, s., & CASTILLO, O.. (2021). A novel defuzzification approach of type-2 fuzzy variable to solving matrix games: An application to plastic ban problem. IRANIAN JOURNAL OF FUZZY SYSTEMS, 18(5 ), 155-172. SID. https://sid.ir/paper/414097/en

Vancouver: Copy

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. IRANIAN JOURNAL OF FUZZY SYSTEMS[Internet]. 2021;18(5 ):155-172. Available from: https://sid.ir/paper/414097/en

IEEE: Copy

M.R. Seikh, s. Karmakar, and O. CASTILLO, “A novel defuzzification approach of type-2 fuzzy variable to solving matrix games: An application to plastic ban problem,” IRANIAN JOURNAL OF FUZZY SYSTEMS, vol. 18, no. 5 , pp. 155–172, 2021, [Online]. Available: https://sid.ir/paper/414097/en

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