ON CATEGORY MORPHISM-TAKUGI-SUGINO OUTPUT FUNCTION BASED COMPACT CYBER SECURITY PROTOCOL

Abstract

This paper proposes the compact protocol for developing cyber security system in context to security and efficiency. The security is achieved through the category morphism over the fuzzy graph. The fuzzy graph coloring is studied in discrete membership function. The permutation based fuzzy graph-categroy morphism based matrix generates the computational chaos, which creates the computational complexity for the attackers, thus its application comprises with the cyber security systems. The chaotic complexity is performed in one way and this characteristic applies to set the digital security system but another way is fast by Takugi-Sugino output function, this provides the efficiency advantage. This compact category morphism-Takugi-Sugino output phenomenon constructs the secure network protocol for developing cyber security system.