Trapezoidal intuitionistic fuzzy prioritized aggregation operators and application to multi-attribute decision making
Publish place: Iranian Journal of Fuzzy Systems، Vol: 12، Issue: 4
Publish Year: 1394
نوع سند: مقاله ژورنالی
زبان: English
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شناسه ملی سند علمی:
JR_IJFS-12-4_002
تاریخ نمایه سازی: 28 خرداد 1401
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 intuitionistic fuzzy set on a real number set and have the 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 lexicographic ranking method for TrIFNs is presented. Then, a series of trapezoidal intuitionistic fuzzy prioritized aggregation operators are developed, including the trapezoidal intuitionistic fuzzy prioritized score (TrIFPS) operator, trapezoidal intuitionistic fuzzy prioritized weighted average (TrIFPWA) operator, trapezoidal intuitionistic fuzzy prioritized “and” (TrIFP-AND) operator and trapezoidal intuitionistic fuzzy prioritized “or” (TrIFP-OR) operator. Some desirable properties of these operators are also discussed. By utilizing the TrIFPWA operator, 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 applicability of the proposed method is illustrated with a supply chain collaboration example.
Keywords:
Multi-attribute decision making , Trapezoidal intuitionistic fuzzy number , Prioritized aggregation operators , Weighted possibility mean
Authors
Shuping Wan
Jiangxi University of Finance and Economics
Jiuying Dong
Jiangxi University of Finance and Economics
Deyan Yang
Qingdao Technological University
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