根据成员间关系的强弱给社会网络中各边赋予权重,将二元网络扩展到边权网络,提出一种新的度量指标.该指标通过累加一个成员在网络中成为关键点的次数来度量其删除后给整个网络带来的损害程度,从而判断该成员对维护网络运行绩效的重要性.通过组织沟通网络的实例分析,说明新指标可以从维护网络安全的视角,有效辨识那些虽然结构位置不显著,但对网络安全具有重大隐患的重要成员.
To identify important members is a crucial problem in social network analysis. Indexes that are now used to measure the importance of members apply only to simple binary social networks, in which the social relation strength can be expressed by 0 or 1. Weights were assigned to social links according to the pairwise relation strength and a new index of the measure was given which is applicable to highlight important members embedded in an edge-weight network. An application in an organization network is also proposed. Results show that in edge-weight social networks the new measure works well in identifying some important members with which attribute-based centrality measures have difficulties.