Multiple attribute decision making with triangular intuitionistic fuzzy numbers based on zero-sum game approach

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XU J.; DONG J.Y.; WAN S.P.; GAO J.

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Paper Information

Journal: Iranian Journal of Fuzzy Systems Year:2019 | Volume:16 | Issue:3 Page(s): 97-112

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Title

Multiple attribute decision making with triangular intuitionistic fuzzy numbers based on zero-sum game approach

Author(s)

XU J. | DONG J.Y. | WAN S.P. | GAO J. | Issue Writer Certificate

Keywords

Multiple attribute decision makingQ2

Triangular intuitionistic fuzzy numbersQ2

Two-person zero-sum gameQ2

Linear programming modelQ2

Video monitoring system selectionQ2

Abstract

For many decision problems with uncertainty, triangular intuitionistic fuzzy number is a useful tool in expressing illknown quantities. This paper develops a novel decision method based on zero-sum game for Multiple attribute decision making problems where the attribute values take the form of Triangular intuitionistic fuzzy numbers and the attribute weights are unknown. First, a new value index is defined for Triangular intuitionistic fuzzy numbers on the basis of the centroid. Thereby, a new ranking approach is presented for comparing Triangular intuitionistic fuzzy numbers. We formulate a Multiple attribute decision making problem as a Two-person zero-sum game with payoffs of Triangular intuitionistic fuzzy numbers. Then, following the new ranking approach, the fuzzy matrix game is converted as a pair of crisp Linear programming models, and the optimal strategies are objectively derived by solving such models. Therefore, the ranking order of alternatives is determined by the expected scores of alternatives. An example of Video monitoring system selection is demonstrated to illustrate the effectiveness of the proposed methodology.

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APA: Copy

XU, J., DONG, J.Y., WAN, S.P., & GAO, J.. (2019). Multiple attribute decision making with triangular intuitionistic fuzzy numbers based on zero-sum game approach. IRANIAN JOURNAL OF FUZZY SYSTEMS, 16(3 ), 97-112. SID. https://sid.ir/paper/113309/en

Vancouver: Copy

XU J., DONG J.Y., WAN S.P., GAO J.. Multiple attribute decision making with triangular intuitionistic fuzzy numbers based on zero-sum game approach. IRANIAN JOURNAL OF FUZZY SYSTEMS[Internet]. 2019;16(3 ):97-112. Available from: https://sid.ir/paper/113309/en

IEEE: Copy

J. XU, J.Y. DONG, S.P. WAN, and J. GAO, “Multiple attribute decision making with triangular intuitionistic fuzzy numbers based on zero-sum game approach,” IRANIAN JOURNAL OF FUZZY SYSTEMS, vol. 16, no. 3 , pp. 97–112, 2019, [Online]. Available: https://sid.ir/paper/113309/en

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