Encrypted Network Architectures with Fuzzy Logic and Modular Constraints for High-Security Communication

Abstract In the era of digital communication and security risks, safeguarding sensitive data requires advanced encryption paradigms that are structurally attack proof and inference based decryption proof. This research introduces a novel cryptographic paradigm based on interconnected encrypted networks constructed from multiple fuzzy encoded subnetworks. Each of the subnetworks is built around a dominating vertex with controlled rules of connectivity that exclude direct communication links among the dominating vertices and the neighboring vertices. Strategic imposition of topological constraints ensures only adjacent vertices from different subnetworks can communicate, forming a non-trivial but cohesive encrypted network. Integration of fuzzy membership values in the network construction makes the model significantly enhance uncertainty, rendering decryption very difficult without understanding the network formation principle. The hybrid technique integrates ideas from graph theory, fuzzy logic, and modular cryptography, and is well suited for protecting sensitive systems such as military command relays, distributed financial ledgers, and classified communication protocols. The resulting encrypted network not only serves as a cipher text, but also possesses data complexity, structural ambiguity, and immunity to pattern recognition based attacks.