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中文摘要：
针对传统的连续观点动力学模型中，缺乏对观点传播过程中人与人之间关系的考虑，通过扩展Hegselmann．Krause模型，引入关系度和关系阈值，研究个体间关系程度对群体观点演化的影响以及关系度在具有观点领袖的团体中所发挥的作用。研究结果表明，在关系阈值的影响范围内，关系度有利于群体观点达成共识，并且关系度阈值越小关系度越大，系统收敛时间越短；另外，观点领袖的支持者越多且支持者初始观点越接近观点领袖的观点，观点演化的收敛时间越短，系统平衡时的观点值越接近观点领袖的初始观点值。
英文摘要：
To solve the defect that lack of condition on the relationship between individuals about evolution of opinions in tra- ditional dynamical models, this paper proposed a new model by extending the Hegselmann-Krause model. Firstly, this paper in- troduced relationship degree and relationship threshold in the Hegselmann-Krause model. Secondly, it researched the influence of relationship between individuals in the process of evolution of opinions. Thirdly, it gave a simulation about the above ideas. Finally, the results show that the relationship between individuals is benefit to the consensus of groups opinions and the conver- gence time of opinions on system. And the smaller the threshold of relationship degree owns the shorter the convergence time of system obtains. On the other hand, with the supporters of the leaders getting more, the initial opinions are more close to the leaders, the convergence time of evolution of opinions are getting short, the opinions of groups approaching to the opinions of the leaders in the end.
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