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On the Parameterized OWA Operators for Fuzzy MCDM Based on Vague Set Theory
Authors:Jue Wang  San-Yang Liu  Jie Zhang  Shou-Yang Wang
Institution:(1) School of Science, Xidian University, Xi’an, Shaanxi, 710071, P. R. China;(2) Institute of Systems Science, Academy of Mathematics and Systems Sciences, Chinese Academy of Sciences, Beijing, 100080, P. R. China
Abstract:The family of Ordered Weighted Averaging (OWA) operators, as introduced by Yager, appears to be very useful in multi-criteria decision-making (MCDM). In this paper, we extend a family of parameterized OWA operators to fuzzy MCDM based on vague set theory, where the characteristics of the alternatives are presented by vague sets. These families are specified by a few parameters to aggregate vague values instead of the intersection and union operators proposed by Chen. The proposed method provides a “soft” and expansive way to help the decision maker to make his decisions. Examples are shown to illustrate the procedure of the proposed method at the end of this paper.
Keywords:fuzzy set  fuzzy MCDM  OWA operator  S-OWA operator  vague set
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