“…Because of existing a lot of complex interdependencies, prediction of cascading failures in such networks are very difficult. Recently significant efforts have been made in studying and analyzing interdependencies in multi-layered networks [4,5,7,8,9,10,12,13,15,16]. Papers by Rosato [12] and Rinaldi [11] described the concept of interdependency but non of them proposed a mathematical model for deliberation of such networks.…”