群体决策中最小成本共识模型的研究

Research on the Minimum Cost Consensus Model in Group Decision Making

摘要: 近年来，群决策问题一直是研究者们关注的热点问题。如何在保持群体一致性的情况下使群体收益最大化成为了学者们研究的主要内容。而在现有的群决策模型中，大部分研究是在充分考虑了个人利益和群体利益后确定最优解的，成本成为考虑的重要因素之一，因此如何在满足一定的一致性的前提下降低决策成本、达成共识是本文需要解决的问题。在已有的共识模型的研究基础上，本文从个体收益最大化的角度对模型进行改进，给出了一个新的最小成本共识模型，通过本文提出的改进算法得到了最优解。文中还对模型进行了案例分析，结果表明：本文提出的方法能够取得较优的结果，并且所提出的改进算法具有一定的理论指导意义。最后本文对于后续工作进行了展望。

Abstract: In recent years, group decision-making problems have been a hot topic of research. How to maximize the group’s benefits while maintaining group consistency has become the main content of scholars’ research. In the existing group decision-making models, most studies determine the optimal solution after fully considering individual and group interests, and cost has become one of the important factors to be considered. Therefore, how to reduce decision-making costs and reach a consensus under the premise of meeting a certain degree of consistency is the problem that this paper needs to solve. Based on the research of the existing consensus models, this paper improves the model from the perspective of maximizing individual benefits and presents a new minimum cost consensus model. The optimal solution is obtained through the improved algorithm proposed in this paper. The model is also analyzed through a case study in the paper, and the results show that the method proposed in this paper can achieve better results, and the proposed improved algorithm has certain theoretical guiding significance. Finally, this paper looks forward to the subsequent work.