基于结构元理论的广义模糊权值网络中心度分析

Analysis of General Fuzzy Weighted Network Centrality Based on Fuzzy Structured Element Theory

针对现有权值网络中心度测量要么只关注边数,要么只关注权值的问题,提出了一个基于结构元的模糊权值网络中心度的测量方法。运用模糊结构元理论解析表达了广义模糊权值网络程度中心度、广义模糊权值网络亲密中心度和广义模糊权值网络中间性中心度;并结合算例验证了基于结构元理论的广义模糊权值网络中心度测量方法的可行性,展示了结果的丰富性。

According to the problem of the existing weighted network centrality measure method either focuses on edges on just concerns with weight, The research proposes a fuzzy weighted network cen- trality measure method based on fuzzy structured element theory. It used fuzzy structured element theory to parse and express general fuzzy weighted network degree centrality, general fuzzy weighted network closeness centrality and general fuzzy weighted network betweenness centrality. Finally, It combined with an example to demonstrate the effectiveness of the fuzzy weighted network centrality measurement methods based on structural element theory and the richness of the results.