Abstract
For an intuitionistic fuzzy set S = {< alpha, S-mu(alpha), S-lambda(alpha) >; alpha is an element of A} of a universe set A, we discuss and study properties on an intuitionistic fuzzy graph like r-edge regular intuitionistic fuzzy graph and strongly regular intuitionistic fuzzy graph. In this paper, we describe variously related to these graphic's. Also, we have provided many examples to explain these concepts.