## ON REGULAR FUZZY RESOLVING SET

## ON REGULAR FUZZY RESOLVING SET

*R. Shanmugapriya, M. Jiny D.*

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## Abstract

In a fuzzy graph G, if the degree of each vertex is the same, then it is called a regular fuzzy graph. The representation of H with respect to the subset H of are all distinct then H is called the resolving set of the fuzzy graph G(V; ; ). In this article, we de ne a regular fuzzy resolving set, regular fuzzy resolving number and the properties of a regular fuzzy resolving set in a fuzzy graph whose crisp graph is a cycle, even or odd. And also we prove that, if G be a regular fuzzy graph with G is a cycle, then any minimum fuzzy resolving set of G is a regular fuzzy resolving set of G.

## Keywords

Fuzzy resolving set, Cyclic graph, Vertex degree, Fuzzy resolving number, Regular fuzzy graph.