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On the Parameterized OWA Operators for Fuzzy MCDM Based on Vague Set Theory

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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.

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Authors and Affiliations

  1. School of Science, Xidian University, Xi’an, Shaanxi, 710071, P. R. China

    Jue Wang, San-Yang Liu & Jie Zhang

  2. Institute of Systems Science, Academy of Mathematics and Systems Sciences, Chinese Academy of Sciences, Beijing, 100080, P. R. China

    Jue Wang & Shou-Yang Wang

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  1. Jue Wang
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  2. San-Yang Liu
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  3. Jie Zhang
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  4. Shou-Yang Wang
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Correspondence to Jue Wang.

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Wang, J., Liu, SY., Zhang, J. et al. On the Parameterized OWA Operators for Fuzzy MCDM Based on Vague Set Theory. Fuzzy Optim Decis Making 5, 5–20 (2006). https://doi.org/10.1007/s10700-005-4912-2

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  • DOI: https://doi.org/10.1007/s10700-005-4912-2

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