Abstract: In view of the problem that lacked of the consideration of interpersonal relationship in the traditional continuous opinion evolution mode. This paper developes a relationship Hegselmann-Krause model to study the effects of relationship degree to the convergence time, and view cluster of the group opinions as well as the role of the relationship degree between two opinion leaders with opposite views and their supporters. The studying results show that the existence of the relationship in the group is benefit to the consensus of group opinion and shorten the convergence time. In particular, in a group with opinion leaders, the characterization factor of their supporters play a decisive role in the evolution of the group opinion. When there are two opinion leaders with opposite views and no relationship between them in a group, the evolution of the opinion will make a split eventually. However, if there are relationships between opinion leaders and their supporters, It will prompt the group opinion to reach a consensus.

Key words: opinion evolution, relationship degree, relationship Hegselmann-Krause model, opinion leader

摘要： 针对传统HK模型中，未考虑个体间人际关系对观点阈值外个体观点交互的影响，提出一种关系HK模型，以研究关系度对群体观点演化时间和系统观点簇的影响，以及关系度在两个意见观点趋向相反的观点领袖及其支持者中发挥的作用。研究结果表明，群体中关系度的存在有利于观点达成共识，缩短系统观点演化时间。特别地，在具有观点领袖的群体中，观点领袖支持者的特征因素对系统观点演化结果起着决定性的作用，如支持者初始观点、观点阈值、关系度阈值和初始观点坚持度。当群体中存在两个意见趋向相反且彼此间没有关系度的观点领袖时，系统最终出现分裂状态，而观点领袖及其支持者之间关系度的存在，有利于系统观点达成共识。

关键词: 观点演化, 关系度, 关系Hegselmann-Krause模型, 观点领袖