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Interval-valued intuitionistic fuzzy aggregation methodology for decision making with a prioritization of criteria | ||
| Iranian Journal of Fuzzy Systems | ||
| مقاله 9، دوره 16، شماره 4، مهر و آبان 2019، صفحه 115-127 اصل مقاله (198.52 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22111/ijfs.2019.4786 | ||
| نویسندگان | ||
| W. Wang* 1؛ J. M. Mendel2 | ||
| 1School of Economics and Management, Guangxi Normal University, Guilin 541004, China | ||
| 2Ming Hsieh Department of Electrical Engineering, University of Southern California, Los Angeles, CA 90089-2564, USA | ||
| چکیده | ||
| 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 ${\L}$ukasiewicz 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. | ||
| کلیدواژه‌ها | ||
| Interval-valued intuitionistic fuzzy sets (IVIFSs)؛ prioritized arithmetic mean؛ monotonicity؛ multiple criteria decision making (MCDM)؛ {L}ukasiewicz triangular norm | ||
| مراجع | ||
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