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Consistency and Consensus of Intuitionistic Fuzzy Preference Relations in Group Decision Making

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Imprecision and Uncertainty in Information Representation and Processing

Part of the book series: Studies in Fuzziness and Soft Computing ((STUDFUZZ,volume 332))

Abstract

Intuitionistic fuzzy preference relations (IFPRs) have turned out to be a useful structure in expressing the experts’ uncertain judgments. In this chapter, we consider a group decision making problem where all the members of the group use the IFPRs to express their preferences over the candidate alternatives. Firstly, we describe such a group decision making problem mathematically in details. Then, different types of definitions for the consistency of an IFPR are reviewed, which can be divided into two sorts, i.e., the additive consistency and the multiplicative consistency. Once all the IFPRs are of acceptable consistency, we then introduce a consensus measure to depict the consensus degree of the experts. A consensus reaching procedure is given to help the experts modify their assessments and then obtain an agreement between the experts as to the choice of a proper decision. A numerical example is given to show the validation and computational process of the consensus reaching procedure.

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Acknowledgment

The work was supported in part by the National Natural Science Foundation of China (No. 61273209 and No. 71501135) and the Scientific Research Foundation for Scholars at Sichuan University (No. 1082204112042).

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Authors and Affiliations

  1. Business School, Sichuan University, Chengdu, 610064, China

    Huchang Liao & Zeshui Xu

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  1. Huchang Liao
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  2. Zeshui Xu
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Correspondence to Zeshui Xu .

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Editors and Affiliations

  1. School of Computing and Communications, Lancaster University Bailrigg, Lancaster, United Kingdom

    Plamen Angelov

  2. Intelligent Systems Laboratory, Prof. Assen Zlatarov University, Bourgas, Bulgaria

    Sotir Sotirov

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Liao, H., Xu, Z. (2016). Consistency and Consensus of Intuitionistic Fuzzy Preference Relations in Group Decision Making. In: Angelov, P., Sotirov, S. (eds) Imprecision and Uncertainty in Information Representation and Processing. Studies in Fuzziness and Soft Computing, vol 332. Springer, Cham. https://doi.org/10.1007/978-3-319-26302-1_13

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  • DOI: https://doi.org/10.1007/978-3-319-26302-1_13

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  • Publisher Name: Springer, Cham

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  • Online ISBN: 978-3-319-26302-1

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