On Vertice and Edge Regular Anti Fuzzy Graphs

Abstract

The concept of regular fuzzy graphs has many applications, especially in jobs that involve network distribution, such as electricity, gas, and energy. In this article, we introduce the degree of vertices, the total degree of vertices, the degree of edge, the total degree of edge, the regular anti fuzzy graphs, and the total regular anti fuzzy. We derived some basic properties of regular and total regular anti fuzzy graphs, included the comparison of both troughs some various examples. We also showed the necessary and sufficient conditions under which their equivalence. We described some properties of regular anti fuzzy graphs and examined for totally regular anti fuzzy graphs.