Regarding complex networks, one of the most relevant problems is to understand and to explore community structure. It is important to define in particular the network organization and the functions associated with the different network partitions. In this paper, we consider an approach based on interval data in order to represent the different relevant network components as communities. The method is also useful to represent the network community structure, especially the network hierarchical structure. We apply the methodology on the Italian interlocking directorship network. 

Keywords: complex networks, community detection, communities, interval data, interlocking directorates.