Center of Intersection Graph of Fuzzy Submodules of Modules

In this paper, we discuss the graphical aspects of fuzzy algebra. Let M be an R−module with zero element θ and F(M) be collection of all fuzzy submodules of M. The intersection graph of F(M) is an undirected graph G with vertex set as F(M) and two vertices α and β are adjacent if and only if α∩β≠χθ, where χθ is the characteristic function on θ. We find the girth of G and also study some properties of center of G−χθ.