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A group decision making with probability linguistic preference relations based on nonlinear optimization model and fuzzy cooperative games

Author

Listed:
  • Pei Liang

    (Central South University)

  • Junhua Hu

    (Central South University)

  • Bo Li

    (Central South University)

  • Yongmei Liu

    (Central South University)

  • Xiaohong Chen

    (Central South University)

Abstract

The aim of the paper is to solve the group decision making problems which contain inconsistent probabilistic linguistic preference relations (PLPRs) and unknown expert weights. When the PLPRs are inconsistent, there are contradictories in the preference relations expressed by the experts. The evaluation value with contradictory information will bring out an incorrect consequence in decision making. Hence, this paper develops a novel consistency measure method to gauge the consistency level of PLPRs. Moreover, a nonlinear optimization model is newly constructed to optimize the inconsistent PLPRs. The proposed methods overcome the limitations in the existing methods and ameliorate the interpretation and complexities of inconsistency PLPRs revise strategies. Additionally, a weighting method using fuzzy cooperative games with PLPRs is put forward to derive the weight vector of experts. It helps to balance the deviations between the individual PLPRs and the group PLRP. At last, a numerical example illustration for physician selection is put forward to demonstrate the effectiveness of the proposed model and its practical applicability. The comparative analysis gives deep insights into the rationality of the proposed model.

Suggested Citation

  • Pei Liang & Junhua Hu & Bo Li & Yongmei Liu & Xiaohong Chen, 2020. "A group decision making with probability linguistic preference relations based on nonlinear optimization model and fuzzy cooperative games," Fuzzy Optimization and Decision Making, Springer, vol. 19(4), pages 499-528, December.
    • Handle: RePEc:spr:fuzodm:v:19:y:2020:i:4:d:10.1007_s10700-020-09329-6
    DOI: 10.1007/s10700-020-09329-6
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    References listed on IDEAS

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    1. Dong, Yucheng & Xu, Yinfeng & Li, Hongyi, 2008. "On consistency measures of linguistic preference relations," European Journal of Operational Research, Elsevier, vol. 189(2), pages 430-444, September.
    2. Sui-zhi Luo & Hong-yu Zhang & Jian-qiang Wang & Lin Li, 2019. "Group decision-making approach for evaluating the sustainability of constructed wetlands with probabilistic linguistic preference relations," Journal of the Operational Research Society, Taylor & Francis Journals, vol. 70(12), pages 2039-2055, December.
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    Cited by:

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    2. Min Xue & Chao Fu & Shanlin Yang, 2022. "A comparative analysis of probabilistic linguistic preference relations and distributed preference relations for decision making," Fuzzy Optimization and Decision Making, Springer, vol. 21(1), pages 71-97, March.
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    4. Zijun Li & Fanyong Meng, 2023. "The potential and consistency of the Owen value for fuzzy cooperative games with a coalition structure," Fuzzy Optimization and Decision Making, Springer, vol. 22(3), pages 387-414, September.

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