移情关系影响下的群体共识决策模型研究

群体成员之间的社会关系及其网络结构特征是影响群决策的重要因素。移情关系是客观存在于一些现实群决策问题中的一种社会关系，但目前考虑移情关系的群决策研究尚不多见。为拓展群决策模型的应用范围，面向移情网络环境提出一种群体共识决策方法，并揭示移情关系对群体共识决策的影响规律。首先，从偏好交互影响的角度出发，构建局部移情模型和全局移情模型，并由此确定移情关系影响下决策者偏好演化的结果。其次，利用个体偏好分解为内在偏好和移情偏好的结构特点，为群体共识达成过程设计一种有效的移情关系引导的反馈机制，该机制可以通过内在偏好层面的偏好调整实现个体偏好层面的共识收敛。最后，数值仿真分析表明：群体成员之间的移情关系提升了群体共识水平，而且全局移情关系比局部移情关系更有利于群体共识的达成；移情网络结构和群体规模是影响移情网络环境下群体共识达成的重要因素。相关决策模型和研究结论可为移情网络环境下的群体共识决策提供理论和方法支持。

A Consensus Model for Group Decision Making under the Influence of Empathy

In group decision making, the social relations among group members and the structural characteristics of their social networks are the important factors that affect the consensus reaching process and ranking of alternatives. Empathetic relation is an important social relationship in some group decision-making problems. However, there are few researches on empathetic group decision making so far. In this paper, empathetic relation is introduced into group decision making based on preference relations, and a consensus model for group decision making in empathetic network environment is proposed. First of all, based on different empathy hypotheses, a local empathetic model and a global empathetic model are constructed to determine the evolution results of the intrinsic preferences of group members under the influence of empathy. Secondly, a feedback mechanism guided by empathetic relations is designed for the consensus reaching process. The feedback mechanism can achieve continuous improvement of group consensus level at the level of individual preference through iterative adjustment of intrinsic preference relations until it reaches acceptable group consensus level. Finally, the influence of empathy on group consensus is analyzed by numerical simulation. The experimental results show that: the empathy relationship between group members improves the level of group consensus, and the global empathy relationship is more conducive to the achievement of group consensus than the local empathy relationship; the structure of empathy network and group size are important factors affecting the consensus reaching process in the context of empathetic network. The research results have some reference value for the study of social network group decision making, and can also provide method support for the actual group decision-making.