Fuzzy Clusterinig for Scale-Free Network Represented as Adjacency Matrix

Abstract

Network structure is effective model as dealing with the world represented by nodes and edges. Previous studies mainly focused on small networks, namely human network. However, large structural network data, such as Internet is emerging all over the world. And it has many interesting features including scale-free structure, small-world, and so on. In this paper, we propose the fuzzy clustering model for scale-free network represented as adjacency matrix. Our model’s novelty is based on negative degree correlation, membership matrix and distance to deal with scale-free structure network. We evaluate our proposed method against two major fuzzy clustering method on four real world data sets and show that our method outperforms them for three scale-free structure network data.