A study on cartesian product of constant intuitionistic fuzzy graphs

Abstract

The Cartesian product of two CIFGs combines the structural properties of both graphs while preserving the constant intuitionistic fuzzy nature of the vertices and edges. This product offers a framework for modeling compound systems in which components interact in a structured yet uncertain manner. The resulting graph exhibits interesting characteristics in terms of connectivity, vertex degrees, and edge formation, which are significantly influenced by the properties of the component CIFGs. In this article, we define the Cartesian product of CIFGs formally and explore its structural properties. We analyze the degrees of vertices and edges under this operation and present theorems supported by illustrative examples to demonstrate the behavior and advantages of this product in the intuitionistic fuzzy environment.