DOI: 10.36347/sjpms.2023.v10i01.001

Pages: 1-10

In recent years, the study on topological indices related to network security has attracted attention from mathematics and computer science fields. Although several gratifying theoretical results exist, definitions and conclusions under most mathematical frameworks need to be expanded. The focus topic of this paper is to use a graph model to represent the network structure, and the membership functions (MFs) of vertices and edges describe the uncertain nature of stations and channels. The connectivity index is used to describe the robustness and the stability of the fuzzy graph of the corresponding network. In this paper, the definition of the connectivity index and the derived concept are given in a bipolar intuitionistic fuzzy graph (BIFG) setting, and the characteristics of connectivity indices are given from the theoretical point of view. These results have potential applications in the field of computer security, and we analyzed topics for future research.