概率语言移情网络下的机会约束鲁棒大规模群体共识决策  

Chance-constrained Robust Large-scale Group Consensus for Probabilistic Linguistic Empathy Network

作　　者：韩烨帆 纪颖 屈绍建 HAN Yefan;JI Ying;QU Shaojian(Business School,Shanghai University,Shanghai 200444,China;School of Management Science and Engineering,Nanjing University of Information Science and Technology,Nanjing 210044,China)

机构地区：[1]上海大学管理学院,上海200444 [2]南京信息工程大学管理工程学院,江苏南京210044

出　　处：《运筹与管理》2024年第8期101-108,共8页Operations Research and Management Science

基　　金：国家社会科学基金资助项目(17BGL083);上海市哲学社会科学基金项目(2020BGL010)。

摘　　要：本文旨在面向概率语言移情网络建立大规模群体共识决策方法,利用机会约束鲁棒优化方法处理单位调整成本的不确定性。首先,建立概率语言移情网络评估决策者间的移情关系。其次,利用模糊C-均值聚类对决策者分类,并基于聚类的规模、内聚度和总体移情度确定聚类权重。在反馈调整过程中,利用置信水平控制不确定参数的波动范围,建立机会约束鲁棒成本共识模型为决策者调整意见提供参考。最后,通过疫情防控方案选择的应用和对比分析,证明考虑移情关系能促进共识达成,且机会约束鲁棒共识模型能更好的平衡经济性和保守性。s the government(the moderator)and 20 emergency experts(decision makers)from the realistic group decision-making problems in the formulation of the epidemic prevention and control plan to conduct consultations.Then a concrete implementation of the proposed framework is demonstrated,in which decision makers’preferences and empathy relationships are randomly generated by computer.Through computer simulation experiments and comparison with other consensus models,the practicability and effectiveness of the chance-constrained robust optimization method in large-scale group consensus decision-making problems are verified.The research results show that considering that the empathy relationship can promote the group consensus,the chance-constrained robust consensus model can better balance economy and conservatism.

关 键 词：大规模群体决策 机会约束鲁棒优化 最小成本共识 概率语言移情网络 反馈机制 

分 类 号：C934[经济管理—管理学]