Some Properties of Highly Irregular Interval Valued Fuzzy Graphs

Abstract

Theoretical concepts of graphs are highly utilized by computer science applications. Especially in research areas of computer science such as data mining, image segmentation, clustering, image capturing and networking. The interval-valued fuzzy graphs are more flexible and compatible than fuzzy graphs due to the fact that they allowed the degree of membership of a vertex to an edge to be represented by interval values in (0.1) rather than the crisp values between 0 and 1. In this paper, we discussed some properties of isomorphism, weak isomorphism and co-weak isomorphism between highly irregular interval-valued fuzzy graphs and its complement. Isomorphism properties of µ-complement, self µ-complement and self weak µ- complement of highly irregular interval-valued fuzzy graph are established. Finally, we defined interval- valued fuzzy digraphs.