A Study on Interval-Valued Fuzzy Graph with Application in Energy Industry Management

Abstract

In this paper, we define the concept of level graphs on interval-valued fuzzy graphs (IVFGs) and introduce the notions of α , β − α , β − homomorphism, isomorphism, weak isomorphism, and co-weak isomorphism of IVFGs by α , β − homomorphism. Also, an application of homomorphism of IVFGs has been presented by using coloring-FG.