Clustering and visualization of fuzzy communities in social networks

— We discuss a new formulation of a fuzzy validity index that generalizes the Newman-Girvan (NG) modularity function. The NG function serves as a cluster validity functional in community detection studies. The input data is an undirected graph G = (V, E) that represents a social network. Clusters in V correspond to socially similar substructures in the network. We compare our fuzzy modularity to an existing modularity function using the well-studied Karate Club data set. Keywords—fuzzy communities; community detection; modularity; fuzzy modularity; specVAT; clique discovery

• Type: Journal
• Year: 2013
• Where: FUZZIEEE
• Authors: Timothy C. Havens, James C. Bezdek, Christopher Leckie, Jeffrey Chan, Wei Liu, James Bailey, Kotagiri Ramamohanarao, Marimuthu Palaniswami
• Keywords: FUZZIEEE 2013, Fuzzy Logic