考虑专家社会影响力与信任演化的社会网络群体共识决策方法  

A Social Network Group Consensus Decision Method Considering Expert Social Influence and Trust Evolution

作　　者：刘伟 王应明[2] LIU Wei;WANG Yingming(School of Economics and Management,Fuzhou University,Fuzhou 350108;Decision Science Institute,Fuzhou University,Fuzhou 350116)

机构地区：[1]福州大学经济与管理学院,福州350108 [2]福州大学决策科学研究所,福州350116

出　　处：《系统科学与数学》2025年第2期433-455,共23页Journal of Systems Science and Mathematical Sciences

基　　金：国家自然科学基金项目(72371077)资助课题。

摘　　要：在社会网络环境下的群体决策中,专家在群体中的权重和专家间的信任关系是影响共识达成的关键因素,但在许多研究中信任关系是不变的且专家权重仅由信任关系确定,因此创新地提出一种考虑专家社会影响力与信任演化的群体共识决策方法,有效促进群体共识的达成.首先,使用信任传播与聚合方法将不完整的社会信任矩阵转化为完整的社会信任矩阵,随后,根据专家的加性偏好关系和社会信任矩阵获得专家的社会影响力,进而,得出专家权重.然后,以各专家的最优方案是否得到采纳以及专家方案排序向量与群体方案排序向量间的差异为依据建立信任演化模型,并根据信任演化模型提出考虑信任演化的共识达成过程.再通过仿真模拟的方法求出社会影响力中各指标的权重系数,并对提出的共识达成方法进行可行性验证,论证所提模型的合理性与有效性.最后,通过一个算例以呈现文章方法的详细求解过程,进一步论证模型的可行性与有效性.In group decision-making under the social network environment,the weight of experts in the group and the trust relationship between experts are key factors that affect consensus reaching.However,in many studies,the trust relationship remains unchanged and the expert weight is only determined by the trust relationship.Therefore,this paper innovatively proposes a group consensus decision-making method that considers the social influence and trust evolution of experts,effectively promoting the reaching of group consensus.Firstly,the incomplete social trust matrix is transformed into a complete social trust matrix using trust propagation and aggregation methods.Then,the social influence of experts is obtained based on their additive preference relationship and social trust matrix,and the weights of each expert are obtained.Subsequently,a trust evolution model is established based on whether the optimal solution of each expert has been adopted and the difference between the ranking vectors of each expert's solution and the group's solution.Based on the trust evolution model,a consensus reaching process considering trust evolution is proposed.By using simulation methods,the weight coefficients of various indicators in social influence are calculated,and the feasibility of the proposed consensus reaching method is verified to demonstrate the rationality and effectiveness of the proposed model.Finally,a numerical example is presented to illustrate the detailed solution process of the method proposed in this paper,further demonstrating the feasibility and effectiveness of the model.

关 键 词：社会网络群体决策 共识达成 信任演化 社会影响力 

分 类 号：C934[经济管理—管理学]