考虑量子干涉的信任网络群体共识决策方法  

Group consensus decision-making method for trust networks considering quantum interference

作　　者：胡英杰 朱建军[1] HU Ying-jie;ZHU Jian-jun(College of Economics and Management,Nanjing University of Aeronautics and Astronautics,Nanjing 211106,China)

机构地区：[1]南京航空航天大学经济与管理学院,南京211106

出　　处：《控制与决策》2024年第12期4007-4016,共10页Control and Decision

基　　金：国家自然科学基金项目(72071106)。

摘　　要：针对信任网络群决策环境下专家意见修正和协调者补偿成本的复杂问题,提出一种考虑多来源参考路径信息干涉效应的信任网络群体共识决策方法.首先,针对非共识专家在意见修正过程中存在不愿调整其意见的情形,建立考虑相对出度中心性指数和自信度的非共识专家调整意愿识别模型.其次,考虑非共识专家对信任专家意见的接受意愿以及协调者意见,结合多来源参考路径信息以波函数形式在愿意调整非共识专家大脑中的干涉效应,建立概率语言环境下考虑量子干涉的意见反馈机制.基于此,进一步考虑协调者补偿成本最小化和个体共识度提高的约束,建立最小意见调整成本共识模型.然后,利用信任惩罚机制降低不愿调整意见的非共识专家对群体共识达成的影响,同时考虑信任调整成本最小化和群体共识达成约束,建立最小信任调整成本共识模型;最后,将所提方法应用于突发事件应急决策,验证该方法的可行性.A trust network group consensus decision-making method considering the interference effect of multi-source reference path information is proposed to address the complex issue of expert opinion correction and moderator compensation costs in the trust network group decision-making environment.Firstly,in response to the unwillingness of non-consensus experts to adjust their opinions during the process of opinion revision,a non-consensus expert adjustment willingness recognition model is established,considering the relative out-degree centrality and confidence level.Secondly,considering the willingness of non-consensus experts to accept the opinions of trusted experts and the opinions of moderators,a feedback mechanism considering quantum interference in a probabilistic linguistic environment is established by combining multi-source reference path information in the form of a wave function to investigate the interference effect in the brain of non-consensus experts who are willing to adjust.Based on this,a minimum opinion adjustment cost consensus model is established by further considering the constraints of minimizing moderator compensation costs and improving individual consensus.Then,using a trust penalty mechanism to reduce the impact of non-consensus experts who are unwilling to adjust their opinions on group consensus reaching,while considering the minimization of trust adjustment costs and group consensus reaching constraints,a minimum trust adjustment cost consensus model is developed.Finally,the proposed method is applied to emergency decision-making for unexpected events,verifying its feasibility.

关 键 词：信任网络 群体共识 调整意愿 量子干涉 信任惩罚 调整成本 

分 类 号：C934[经济管理—管理学]