Fuzzy Graph Based on Einstein Operator

Abstract

A fuzzy graph is useful in representing structures of relationships between items where the existence of a concrete item (vertex) and relationship between two items (edge) are matters of degree. In this thesis, the fuzzy graph based on Einstein operator is introduced. Using the Einstein sum and product operator, we will introduce fuzzy variants of many basic graph-theoretical notions. Furthermore, we recognise such results in the context of Intuitionistic fuzzy graphs based on Einstein operators that preserve strong property.