Abstract
Recently, interval-valued fuzzy graph is a growing research topic as it is the generalization of fuzzy graphs. 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 introduce the concepts of regular and totally regular interval-valued fuzzy graphs and discusses some properties of the <TEX>${\mu}$</TEX>-complement of interval-valued fuzzy graph. Self <TEX>${\mu}$</TEX>-complementary interval-valued fuzzy graphs and self-weak <TEX>${\mu}$</TEX>-complementary interval-valued fuzzy graphs are defined and a necessary condition for an interval valued fuzzy graph to be self <TEX>${\mu}$</TEX>-complementary is discussed. We define busy vertices and free vertices in interval valued fuzzy graph and study their image under an isomorphism.
Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
