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A Large Group Decision-Making Method Based on Fuzzy Preference Relation

Author

Listed:
  • Shenghai Zhou

    (Antai College of Economics & Management, Shanghai Jiao Tong University, Shanghai 200030, P. R. China)

  • Xuanhua Xu

    (School of Business, Central South University, Changsha, Hunan 410083, P. R. China)

  • Yanju Zhou

    (School of Business, Central South University, Changsha, Hunan 410083, P. R. China)

  • Xiaohong Chen

    (School of Business, Central South University, Changsha, Hunan 410083, P. R. China)

Abstract

Aiming at the large group decision-making problem in which every decision maker compares pairwise alternatives with fuzzy preference relations, this paper proposes a fuzzy preference relation decision-making method of large group based on conflicts. Firstly, priority should be given to the preference difference under complex large group environment, so we define the conflict degree of two fuzzy preference relations, which contributes to cluster analysis on preferences of the decision maker and thus forms several different clusters. Based on this, we simulate and analyze the threshold of conflict degree. Then we develop the entropy weight method to get the relevant weight of each cluster, and use the weight to aggregate the cluster preferences in order to attain the large group preference based on fuzzy preference relation. Next, an iteration algorithm is introduced to find a solution which could acquire the group alternatives fuzzy preference relation of a certain conflict level and obtain the ranking result of alternatives. Finally, a case analysis is given to illustrate the effectiveness of the method proposed.

Suggested Citation

  • Shenghai Zhou & Xuanhua Xu & Yanju Zhou & Xiaohong Chen, 2017. "A Large Group Decision-Making Method Based on Fuzzy Preference Relation," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 16(03), pages 881-897, May.
    • Handle: RePEc:wsi:ijitdm:v:16:y:2017:i:03:n:s021962201550039x
    DOI: 10.1142/S021962201550039X
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    References listed on IDEAS

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    1. Zeshui Xu & Xiaoqiang Cai, 2015. "Group Decision Making with Incomplete Interval-Valued Intuitionistic Preference Relations," Group Decision and Negotiation, Springer, vol. 24(2), pages 193-215, March.
    2. Fu, Chao & Yang, Shan-Lin, 2010. "The group consensus based evidential reasoning approach for multiple attributive group decision analysis," European Journal of Operational Research, Elsevier, vol. 206(3), pages 601-608, November.
    3. Herrera, F. & Herrera-Viedma, E. & Chiclana, F., 2001. "Multiperson decision-making based on multiplicative preference relations," European Journal of Operational Research, Elsevier, vol. 129(2), pages 372-385, March.
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    Cited by:

    1. Bingsheng Liu & Meiqing Fu & Shuibo Zhang & Bin Xue & Qi Zhou & Shiruo Zhang, 2018. "An interval-valued 2-tuple linguistic group decision-making model based on the Choquet integral operator," International Journal of Systems Science, Taylor & Francis Journals, vol. 49(2), pages 407-424, January.
    2. Liu, Hu-Chen & Li, Zhaojun & Zhang, Jian-Qing & You, Xiao-Yue, 2018. "A large group decision making approach for dependence assessment in human reliability analysis," Reliability Engineering and System Safety, Elsevier, vol. 176(C), pages 135-144.
    3. Qifeng Wan & Xuanhua Xu & Xiaohong Chen & Jun Zhuang, 2020. "A Two-Stage Optimization Model for Large-Scale Group Decision-Making in Disaster Management: Minimizing Group Conflict and Maximizing Individual Satisfaction," Group Decision and Negotiation, Springer, vol. 29(5), pages 901-921, October.
    4. Paulo Cesar Schotten & Danielle Costa Morais, 2019. "A group decision model for credit granting in the financial market," Financial Innovation, Springer;Southwestern University of Finance and Economics, vol. 5(1), pages 1-19, December.

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