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A novel method to derive the intuitionistic fuzzy priority vectors from intuitionistic fuzzy preference relations

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Abstract

Deriving the priority vectors of the alternatives by preference relations is a vital research topic for decision making with preference information. In this paper, a novel method is provided to derive the intuitionistic fuzzy priority vectors (IFPVs) from intuitionistic fuzzy preference relations (IFPRs). Concretely, the multiplicative consistencies of IFPRs are characterized by the IFPVs and the group of constrained linear equations, respectively. Then, it is pointed out that there always exist \(2n-1\) constrained preference values based on which an acceptably multiplicative consistency is proposed, and a method to check and repair the acceptably multiplicative consistency of a complete or incomplete IFPR by reducing the distance between the optimal IFPVs and the local ones is provided. Some examples are given to show how the models work, and comparisons with the existing methods are also offered to demonstrate the advantages of the proposed method.

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Acknowledgements

The authors would like to thank the editors and the anonymous reviewers for their insightful and constructive comments and suggestions that have led to this improved version of the paper. This research was supported by the NSF of Shandong Province (Grant No. ZR2017MG027).

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Authors and Affiliations

  1. School of Mathematics and Statistics, Linyi University, Linyi, 276005, China

    Wei Yang, Zun Wei Fu & Zhen Ming Ma

  2. Department of Computer Science, The University of Suwon, Wau-ri, Bongdam-eup, Hwaseongsi, Gyeonggi-do, 445-743, Korea

    Wei Yang & Seong Tae Jhang

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

    Ze Shui Xu

  4. Key Laboratory of Complex Systems and Intelligent Computing in Universities of Shandong (Linyi University), Linyi, 276005, China

    Zhen Ming Ma

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  1. Wei Yang
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  2. Seong Tae Jhang
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  3. Zun Wei Fu
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  4. Ze Shui Xu
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Correspondence to Wei Yang.

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Communicated by A. Di Nola.

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Yang, W., Jhang, S.T., Fu, Z.W. et al. A novel method to derive the intuitionistic fuzzy priority vectors from intuitionistic fuzzy preference relations. Soft Comput 25, 147–159 (2021). https://doi.org/10.1007/s00500-020-05472-9

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  • DOI: https://doi.org/10.1007/s00500-020-05472-9

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