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机构地区:[1]大连理工大学系统工程研究所
出 处:《运筹与管理》2011年第2期176-179,185,共5页Operations Research and Management Science
基 金:国家自然科学基金资助项目(70972059;70671016;10905052;70901010)
摘 要:本文考虑个体间的相互作用,提出了一个基于社会网络分析的舆情传播模型。模型假设网络中每个个体的初始状态只有两种情况,并且在单位时间步内只选择一个邻居进行交流,并以概率λ接受该邻居的意见。解析结果显示存在概率λc使得网络中持某种观点人数比例的期望值是一个常数,而其它状态下系统中所有个体的意见都会达成一致。本模型有助于衡量某给定社会网络中舆论传播的快慢程度。By considering the interaction behaviors among the individuals,this papers present an evolutionary model of opinion formation,in which the individuals are embedded in a social network.The model supposes thats there are only two kinds of opinions for all of the individuals,including+1and-1,and takes explicitly into account that an individual's opinion is affected by its neighbors in the social network with a probability.The analytical and simulation results indicate that there exists a special probability λ.where the expected weighted fraction of the population that holds a given opinion is constant in time.While all of the population would be in the consensus state to other λc,value.This work may shed some light on evaluating the opinion spreading speed in a given social network.
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