Title :
A Soft Modularity Function For Detecting Fuzzy Communities in Social Networks
Author :
Havens, Timothy C. ; Bezdek, James C. ; Leckie, Christopher ; Ramamohanarao, Kotagiri ; Palaniswami, Marimuthu
Author_Institution :
Depts. of Electr. & Comput. Eng. & Comput. Sci., Michigan Technol. Univ., Houghton, MI, USA
Abstract :
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 weighted graph that represents, e.g., a social network. Clusters correspond to socially similar substructures in the network. We compare our fuzzy modularity with two existing modularity functions using the well-studied Karate Club and American College Football datasets.
Keywords :
fuzzy set theory; graph theory; social networking (online); American College Football datasets; Karate Club; NG modularity function; Newman-Girvan modularity function; cluster validity functional; fuzzy community detection; fuzzy modularity; fuzzy validity index; social networks; socially similar substructures; soft modularity function; undirected weighted graph; Clustering algorithms; Communities; Educational institutions; Games; Indexes; Probabilistic logic; Social network services; Clique discovery; community detection; fuzzy communities; fuzzy modularity; modularity;
Journal_Title :
Fuzzy Systems, IEEE Transactions on
DOI :
10.1109/TFUZZ.2013.2245135
