Perfect Geodesic Intuitionistic Fuzzy Graphs for Cybersecurity Optimization and Secure Network Communication

Abstract

This paper introduces Perfect Geodesic Intuitionistic Fuzzy Graphs (PGIFGs) with each node in at least one geodesic basis, so that the pseudo geodesic number is zero. PGIFGs, based on intuitionistic fuzzy set theory, use membership, non-membership, and hesitancy values, making them more applicable in the field of cybersecurity. Complete intuitionistic fuzzy graphs and intuitionistic fuzzy cycles possess perfect geodesic characteristics, which are suitable for fault-tolerant and secure network topologies. This framework maximizes threat detection, identification of key nodes, and secure communication, enhancing the resilience of networks.