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Modular and homomorphic product of intuitionistic fuzzy graphs and their degree

An intuitionistic fuzzy graph is an extension of a fuzzy graph that give more precision, flexibility and compatibility to a system when compared with the system that designed using fuzzy graphs. In this paper, we define two new operations on intuitionistic fuzzy graphs, namely modular product and homomorphic product and study about the degree of the vertex of the resultant graph, which are obtained from two intuitionistic fuzzy graphs G' and G” using the operations modular product and homomorphic product. These operations will be used in computer science, geometry, algebra, operations research, etc.