Interval-valued intuitionistic fuzzy aggregation methodology for decision making with a prioritization of criteria

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WANG W.; MENDEL J.M.

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Journal: Iranian Journal of Fuzzy Systems Year:2019 | Volume:16 | Issue:4 Page(s): 115-127

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Information Journal Paper

Title

Interval-valued intuitionistic fuzzy aggregation methodology for decision making with a prioritization of criteria

Author(s)

WANG W. | MENDEL J.M. | Issue Writer Certificate

Keywords

Interval-valued intuitionistic fuzzy sets (IVIFSs)Q2

prioritized arithmetic meanQ2

monotonicityQ2

multiple criteria decision making (MCDM)Q2

Lukasiewicz triangular normQ2

Abstract

Interval-valued intuitionistic fuzzy sets (IVIFSs), a generalization of fuzzy sets, is characterized by an interval-valued membership function, an interval-valued non-membership function. The objective of this paper is to deal with criteria aggregation problems using IVIFSs where there exists a prioritization relationship over the criteria. Based on the Lukasiewicz triangular norm, we first propose a prioritized arithmetic mean to IVIF multi-criteria decision making (MCDM) problem where there is a linear ordering among the criteria. The proposed aggregation operator overcomes the existing prioritized aggregation operator’ s shortcomings that it is not monotone with respect to the total order on interval-valued intuitionistic fuzzy values (IVIFVs). We also prove that it is bounded and monotone with respect to the total order on IVIFVs, and therefore is a true generalization of such operations. We finally propose an aggregation operators-based two-step procedure to IVIF MCDM in the situation that more than one criteria exist at some priority level.

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APA: Copy

WANG, W., & MENDEL, J.M.. (2019). Interval-valued intuitionistic fuzzy aggregation methodology for decision making with a prioritization of criteria. IRANIAN JOURNAL OF FUZZY SYSTEMS, 16(4 ), 115-127. SID. https://sid.ir/paper/113437/en

Vancouver: Copy

WANG W., MENDEL J.M.. Interval-valued intuitionistic fuzzy aggregation methodology for decision making with a prioritization of criteria. IRANIAN JOURNAL OF FUZZY SYSTEMS[Internet]. 2019;16(4 ):115-127. Available from: https://sid.ir/paper/113437/en

IEEE: Copy

W. WANG, and J.M. MENDEL, “Interval-valued intuitionistic fuzzy aggregation methodology for decision making with a prioritization of criteria,” IRANIAN JOURNAL OF FUZZY SYSTEMS, vol. 16, no. 4 , pp. 115–127, 2019, [Online]. Available: https://sid.ir/paper/113437/en

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