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Multiplicative consistency-based decision support system for incomplete linguistic preference relations

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  • Meimei Xia
  • Zeshui Xu
  • Zhong Wang

Abstract

The experts may have difficulty in expressing all their preferences over alternatives or criteria, and produce the incomplete linguistic preference relation. Consistency plays an important role in estimating unknown values from an incomplete linguistic preference relation. Many methods have been developed to obtain a complete linguistic preference relation based on additive consistency, but some unreasonable values may be produced in the estimation process. To overcome this issue, we propose a new characterisation about multiplicative consistency of the linguistic preference relation, present an algorithm to estimate missing values from an incomplete linguistic preference relation, and establish a decision support system for aiding the experts to complete their linguistic preference relations in a more consistent way. Some examples are also given to illustrate the proposed methods.

Suggested Citation

  • Meimei Xia & Zeshui Xu & Zhong Wang, 2014. "Multiplicative consistency-based decision support system for incomplete linguistic preference relations," International Journal of Systems Science, Taylor & Francis Journals, vol. 45(3), pages 625-636.
    • Handle: RePEc:taf:tsysxx:v:45:y:2014:i:3:p:625-636
    DOI: 10.1080/00207721.2012.724112
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    Cited by:

    1. Jie Tang & Fanyong Meng & Yongliang Zhang, 2022. "Common probability-based interactive algorithms for group decision making with normalized probability linguistic preference relations," Fuzzy Optimization and Decision Making, Springer, vol. 21(1), pages 99-136, March.

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