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Consistency and Consensus Models with Local Adjustment Strategy for Hesitant Fuzzy Linguistic Preference Relations

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Abstract

This paper studies the consistency and consensus models with local adjustment strategy for hesitant fuzzy linguistic preference relations (HFLPRs). A consistency and consensus reaching model with local adjustment strategy is devised. In the consistency improving process, only the most inconsistent preferences are suggested to be modified toward the preferences in the consistent HFLPR. In the consensus reaching process, an individual to group consensus index and a group consensus index are introduced to measure the consensus degree for the individual and the group. Meanwhile, only those HFLPRs whose consensus degrees are not within the predefined threshold are suggested to be modified, and only the preferences in these HFLPRs which have the largest distances from the preferences in group HFLPR are suggested to be revised by the group’s preference values. For both the consistency and consensus reaching processes, the improved preference values are still using the original linguistic terms. Finally, an example is illustrated to show the effectiveness of the proposed method, and comparative analyses with the existing methods are offered to show the advantages of the proposed method.

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Acknowledgements

This work was partly supported by the Key Project of National Natural Science Foundation of China (No. 71633002), sponsored by Qing Lan Project of Jiangsu Province.

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Authors and Affiliations

  1. Business School, Hohai University, Nanjing, 211100, People’s Republic of China

    Yejun Xu & Huimin Wang

  2. College of Economic and Management, South China Agricultural University, Guangzhou, 510642, People’s Republic of China

    Xiaowei Wen

  3. School of Business, Qingdao University, Qingdao, 266071, People’s Republic of China

    Hao Sun

Authors
  1. Yejun Xu
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  2. Xiaowei Wen
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  3. Hao Sun
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  4. Huimin Wang
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Correspondence to Xiaowei Wen or Hao Sun.

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Xu, Y., Wen, X., Sun, H. et al. Consistency and Consensus Models with Local Adjustment Strategy for Hesitant Fuzzy Linguistic Preference Relations. Int. J. Fuzzy Syst. 20, 2216–2233 (2018). https://doi.org/10.1007/s40815-017-0438-3

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  • DOI: https://doi.org/10.1007/s40815-017-0438-3

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