一类模糊关系社会网络的中心性分析

The Centrality Analysis of a Kind of Fuzzy Social Network

提出了一种新型的由自然语言表述的模糊关系社会网络并研究了其中心性分析问题。推广了传统网络中"度"和"长度"的概念,按照传统社会网络中中心度定义的基本内涵定义了模糊关系社会网络的三种中心度,提出了点度中心度的计算方法,从中心度分析的基本动机出发,采用排序而不是量化方法解决了模糊关系社会网络的紧密中心性和中间中心性的分析问题,最后通过实例验证了方法的合理性和可操作性。

In this paper, a new type of fuzzy social network was proposed and its centrality analysising method was established. Firstly, the concepts of ＂degree＂ and ＂length＂ were promoted, and the definitions of the three types of centrality in the fuzzy relation social network were given according to the basic connotation of the centrality definition in the traditional social network. Secondly, the calculating method for the degree centrality was proposed, and from the basic motivation of centrality analysis, the analysising problem of closeness centrality and betweenness centrality of the fuzzy relation social network was solved by sorting rather than quantitative method. In the end, an illustrative example was used to validate its rationality and operability of this approach.