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Effect of Regularization on Fuzzy Graph

Vandana Bansal

The perception of fuzzy sets was discussed by L. A. Zadeh in 1965, The idea of a membership function defined on a universal set is engrossed in Fuzzy Sets. Later the theory of Graph was introduced by Euler. Using the notion of fuzzy subsets, the perception of FG was introduced by A. Rosenfeld in 1975. In this paper, some definitions of regular FGs, total degree and totally regular FGs are introduced. Also some properties of regular FGs are studied and examined whether they hold for totally regular FGs or not.