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Fuzzy Optimization and Decision Making

, Volume 5, Issue 1, pp 5–20 | Cite as

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

  • Jue Wang
  • San-Yang Liu
  • Jie Zhang
  • Shou-Yang Wang
Article

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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Copyright information

© Springer Science+Business Media, Inc. 2006

Authors and Affiliations

  • Jue Wang
    • 1
    • 2
  • San-Yang Liu
    • 1
  • Jie Zhang
    • 1
  • Shou-Yang Wang
    • 2
  1. 1.School of ScienceXidian UniversityXi’anP. R. China
  2. 2.Institute of Systems Science, Academy of Mathematics and Systems SciencesChinese Academy of SciencesBeijingP. R. China

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