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A Novel Consensus and Dissent Framework Under Grey Preference Based on the Graph Model for Conflict Resolution for Two Decision Makers

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  • Jinmuzi Zhang

    (Nanjing University of Aeronautics and Astronautics)

  • Haiyan Xu

    (Nanjing University of Aeronautics and Astronautics)

  • Ginger Y. Ke

    (Memorial University of Newfoundland)

Abstract

The existing consensus models of conflict decision-making generally assume that the decision-makers’ preferences are simple and certain. This assumption oversimplifies the complexity of real-world conflicts due to the ignorance of the decision-maker’s limited rationality. The present work makes the first attempt at solving this issue by defining the grey consensus and dissent preference of two decision makers (DMs), which is then embedded into the Graph Model for Conflict Resolution (GMCR) to obtain conflict equilibrium solutions. To be specific, preference relations are first described as interval grey scales to reflect the decision maker’s judgments on conflict states, and then converted into crisp values to interface with GMCR. We next present both the logical and matrix representations under the GMCR framework, along with detailed pseudocode that can be implemented to investigate actual conflict situations practically. For validation and verification purposes, the proposed decision framework is applied to the water resource conflict of the Yellow River Basin in China, from which insights are derived to facilitate effective strategic decision-making for resolving complex conflicts in uncertain environments.

Suggested Citation

  • Jinmuzi Zhang & Haiyan Xu & Ginger Y. Ke, 2024. "A Novel Consensus and Dissent Framework Under Grey Preference Based on the Graph Model for Conflict Resolution for Two Decision Makers," Group Decision and Negotiation, Springer, vol. 33(4), pages 711-744, August.
    • Handle: RePEc:spr:grdene:v:33:y:2024:i:4:d:10.1007_s10726-024-09882-0
    DOI: 10.1007/s10726-024-09882-0
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    References listed on IDEAS

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    1. Chenxi Zhang & Meng Zhao & Lichao Zhao & Qinfei Yuan, 2021. "A Consensus Model for Large-Scale Group Decision-Making Based on the Trust Relationship Considering Leadership Behaviors and Non-cooperative Behaviors," Group Decision and Negotiation, Springer, vol. 30(3), pages 553-586, June.
    2. Li, Yanhong & Kou, Gang & Li, Guangxu & Peng, Yi, 2022. "Consensus reaching process in large-scale group decision making based on bounded confidence and social network," European Journal of Operational Research, Elsevier, vol. 303(2), pages 790-802.
    3. Xiaohong Chen & Weiwei Zhang & Xuanhua Xu & Wenzhi Cao, 2022. "Managing Group Confidence and Consensus in Intuitionistic Fuzzy Large Group Decision-Making Based on Social Media Data Mining," Group Decision and Negotiation, Springer, vol. 31(5), pages 995-1023, October.
    4. Tiantian Gai & Mingshuo Cao & Francisco Chiclana & Zhen Zhang & Yucheng Dong & Enrique Herrera-Viedma & Jian Wu, 2023. "Consensus-trust Driven Bidirectional Feedback Mechanism for Improving Consensus in Social Network Large-group Decision Making," Group Decision and Negotiation, Springer, vol. 32(1), pages 45-74, February.
    5. Bowen Zhang & Yucheng Dong & Enrique Herrera-Viedma, 2019. "Group Decision Making with Heterogeneous Preference Structures: An Automatic Mechanism to Support Consensus Reaching," Group Decision and Negotiation, Springer, vol. 28(3), pages 585-617, June.
    6. Weijun Xu & Xin Chen & Yucheng Dong & Francisco Chiclana, 2021. "Impact of Decision Rules and Non-cooperative Behaviors on Minimum Consensus Cost in Group Decision Making," Group Decision and Negotiation, Springer, vol. 30(6), pages 1239-1260, December.
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    Cited by:

    1. Sifan Dai & Bismark Appiah Addae & Yangzi Jiang & Haiyan Xu, 2025. "A Novel Graph Model for Conflict Resolution Under Power Asymmetry of Multiple Decision-Makers for Medical-Nursing Care Implementation in China," Group Decision and Negotiation, Springer, vol. 34(3), pages 523-556, June.

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