Complete Intuitionistic Fuzzy Graphs

S. Vijayalakshmi, S. Geetha, S. Sahaya Arockia Selvi

Abstract: In this paper, we provide three operations on Intuitionistic fuzzy graphs, namely direct product, semi strong product and strong product on Intuitionistic fuzzy graphs. We give sufficient condition for each one of them to be complete and we show that if any of these product is complete, then at least one factor is a complete intuitionistic fuzzy graph. Moreover, we introduced and study the notion and sufficient conditions for the preceding products of two Intuitionistic fuzzy balanced graphs to be balanced and we prove that any isomorphic Intuitionistic fuzzy graph to a balanced Intuitionistic fuzzy graph must be balanced.

Keywords: Complete Intuitionistic fuzzy graphs, self - complementary Intuitionistic fuzzy graph, isomorphic Intuitionistic fuzzy graphs