Multicriteria decision making based on intuitionistic fuzzy prioritized arithmetic mean |
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Authors: | Weize Wang Jerry M Mendel |
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Affiliation: | 1. School of Economics and Management, Guangxi Normal University, Guilin, People's Republic of China;2. Ming Hsieh Department of Electrical Engineering, University of Southern California, Los Angeles, CA, USA |
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Abstract: | Atanassov’s intuitionistic fuzzy sets (AIFSs), characterized by a membership function, a nonmembership function, and a hesitancy function, is a generalization of a fuzzy set. Various aggregation operators are defined for AIFSs to deal with multicriteria decision‐making problems in which there exists a prioritization of criteria. However, these existing intuitionistic fuzzy prioritized aggregation operators are not monotone with respect to the total order on Atanassov’s intuitionistic fuzzy values (AIFVs), which is undesirable. We propose an intuitionistic fuzzy prioritized arithmetic mean based on the ?ukasiewicz triangular norm, which is monotone with respect to the total order on AIFVs, and therefore is a true generalization of such operations. We give an example that a consumer selects a car to illustrate the validity and applicability of the proposed method aggregation operator. |
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Keywords: | Atanassov’ s intuitionistic fuzzy sets aggregation operators importance weights multicriteria decision making Ł ukasiewicz triangular norm |
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