TRAPEZOIDAL INTUITIONISTIC FUZZY PRIORITIZED AGGREGATION OPERATORS AND APPLICATION TO MULTI-ATTRIBUTE DECISION MAKING

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DONG J.; YANG D.Y.; WAN S.P.

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Journal Paper

Paper Information

Journal: Iranian Journal of Fuzzy Systems Year:2015 | Volume:12 | Issue:4 Page(s): 1-32

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Title

TRAPEZOIDAL INTUITIONISTIC FUZZY PRIORITIZED AGGREGATION OPERATORS AND APPLICATION TO MULTI-ATTRIBUTE DECISION MAKING

Author(s)

DONG J. | YANG D.Y. | WAN S.P. | Issue Writer Certificate

Keywords

MULTI-ATTRIBUTE DECISION MAKING

TRAPEZOIDAL INTUITIONISTIC FUZZY NUMBER

PRIORITIZED AGGREGATION OPERATORS

WEIGHTED POSSIBILITY MEAN

Abstract

In some MULTI-ATTRIBUTE DECISION MAKING (MADM) problems, various relationships among the decision attributes should be considered. This paper investigates the prioritization relationship of attributes in MADM with TRAPEZOIDAL INTUITIONISTIC FUZZY NUMBERs (TrIFNs). TrIFNs are a special intu-itionistic fuzzy set on a real number set and have better capability to model ill-known quantities. Firstly, the WEIGHTED POSSIBILITY MEANs of membership and non-membership functions for TrIFNs are defined. Hereby, a new lexico-graphic ranking method for TrIFNs is presented. Then, a series of trapezoidal intuitionistic fuzzy PRIORITIZED AGGREGATION OPERATORS are developed, including trapezoidal intuitionistic fuzzy prioritized score (TrIFPS) operator, trapezoidal intuitionistic fuzzy prioritized weighted average (TrIFPWA) operator, trape-zoidal intuitionistic fuzzy prioritized and (TrIFP-AND) operator and trape-zoidal intuitionistic fuzzy prioritized or (TrIFP-OR) operator. Some desirable properties of these operators are also discussed. By utilizing the TrIFPWA op-erator, the attribute values of alternatives are integrated into the overall ones, which are used to rank the alternatives. Thus, a new method is proposed for solving the prioritized MADM problems with TrIFNs. Finally, the applica-bility of the proposed method is illustrated with a supply chain collaboration example.

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APA: Copy

DONG, J., YANG, D.Y., & WAN, S.P.. (2015). TRAPEZOIDAL INTUITIONISTIC FUZZY PRIORITIZED AGGREGATION OPERATORS AND APPLICATION TO MULTI-ATTRIBUTE DECISION MAKING. IRANIAN JOURNAL OF FUZZY SYSTEMS, 12(4), 1-32. SID. https://sid.ir/paper/695657/en

Vancouver: Copy

DONG J., YANG D.Y., WAN S.P.. TRAPEZOIDAL INTUITIONISTIC FUZZY PRIORITIZED AGGREGATION OPERATORS AND APPLICATION TO MULTI-ATTRIBUTE DECISION MAKING. IRANIAN JOURNAL OF FUZZY SYSTEMS[Internet]. 2015;12(4):1-32. Available from: https://sid.ir/paper/695657/en

IEEE: Copy

J. DONG, D.Y. YANG, and S.P. WAN, “TRAPEZOIDAL INTUITIONISTIC FUZZY PRIORITIZED AGGREGATION OPERATORS AND APPLICATION TO MULTI-ATTRIBUTE DECISION MAKING,” IRANIAN JOURNAL OF FUZZY SYSTEMS, vol. 12, no. 4, pp. 1–32, 2015, [Online]. Available: https://sid.ir/paper/695657/en

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