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Neutrosophic Sets and Systems

Abstract

In this paper, we define and investigate the concept of the implication-based neutrosophic finite state machine (IB-IFSA) over a finite group. Building upon the framework of neutrosophic logic, we introduce the implication-based neutrosophic kernel and the implication-based neutrosophic subsemiautomaton, establishing their formal definitions and properties. Additionally, we explore the structural interplay between these concepts and their implications within algebraic systems

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