<p>The minimum cost consensus model (MCCM) and maximum expert consensus model (MECM), with different objectives, are two commonly used optimization models to enhance the consensus reaching process (CRP) in group decision-making (GDM) problems. However, most existing studies examine these models in isolation, with limited exploration of their combined potential to address both resource consumption and decision maker (DM) participation in consensus. Moreover, individual behaviors, such as tolerance and compromise, along with uncertain adjustment costs, significantly influence cost consumption during CRP, which is worthy of investigation. To address these issues, this paper proposes a combinational consensus model-based feedback mechanism for GDM with uncertain adjustment costs. First, the robust MCCM (RMCCM) with limited tolerance and compromise level is proposed. Then, the robust MECM (RMECM) is constructed to maximize the number of DMs within consensus. The two proposed robust models constitute the feedback mechanism, where the RMCCM provides a benchmark budget for the RMECM, while the RMECM enhances the quality of consensus. Finally, the feasibility of the proposed mechanism is demonstrated through a case study, with sensitivity and comparative analyses further validating its effectiveness.</p>

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A Combinational Consensus Model-Based Feedback Mechanism for Group Decision-Making with Uncertain Adjustment Costs

  • Yifan Ma,
  • Ying Ji

摘要

The minimum cost consensus model (MCCM) and maximum expert consensus model (MECM), with different objectives, are two commonly used optimization models to enhance the consensus reaching process (CRP) in group decision-making (GDM) problems. However, most existing studies examine these models in isolation, with limited exploration of their combined potential to address both resource consumption and decision maker (DM) participation in consensus. Moreover, individual behaviors, such as tolerance and compromise, along with uncertain adjustment costs, significantly influence cost consumption during CRP, which is worthy of investigation. To address these issues, this paper proposes a combinational consensus model-based feedback mechanism for GDM with uncertain adjustment costs. First, the robust MCCM (RMCCM) with limited tolerance and compromise level is proposed. Then, the robust MECM (RMECM) is constructed to maximize the number of DMs within consensus. The two proposed robust models constitute the feedback mechanism, where the RMCCM provides a benchmark budget for the RMECM, while the RMECM enhances the quality of consensus. Finally, the feasibility of the proposed mechanism is demonstrated through a case study, with sensitivity and comparative analyses further validating its effectiveness.