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On Compatibility of Interval Fuzzy Preference Relations

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Abstract

This paper defines the concept of compatibility degree of two interval fuzzy preference relations, and gives a compatibility index of two interval fuzzy preference relations. It is proven that an interval fuzzy preference relation B and the synthetic interval fuzzy preference relation of interval fuzzy preference relations A 1,A 2,...,A s are of acceptable compatibility under the condition that the interval fuzzy preference relation B and each of the interval fuzzy preference relations A l,A 2,...,A s are of acceptable compatibility, and thus a theoretic basis has been developed for the application of the interval fuzzy preference relations in group decision making.

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Authors and Affiliations

  1. College of Economics and Management, Southeast University, Nanjing, Jiangsu, 210096, China

    Zeshui Xu

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  1. Zeshui Xu
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Xu, Z. On Compatibility of Interval Fuzzy Preference Relations. Fuzzy Optimization and Decision Making 3, 217–225 (2004). https://doi.org/10.1023/B:FODM.0000036864.33950.1b

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  • DOI: https://doi.org/10.1023/B:FODM.0000036864.33950.1b

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