On some matrices associated with interval valued fuzzy graphs

Interval Valued Fuzzy Node Arc Matrix (IVFNAM), Interval Valued Fuzzy Incidence Matrix (IVFIM) and Interval Valued Fuzzy Node Matrix (IVFNM) of an Interval Valued Fuzzy Graph (IVFG) are introduced here and some properties of these matrices are explained. The reachability matrix of an IVFG using IVFNAM is defined. It is shown that the strength of connectedness between any two pair of vertices in an IVFG can be found using this reachability matrix. We propose an algorithm to determine the nature of arcs in an IVFG using the reachability matrix. We also establish a relationship between the IVFIM of an IVFG and the IVFNAM of its corresponding line graph.