Implication-Based Fuzzy Semiautomaton of A Finite Group And Its Properties

摘要

Implication-based fuzzy semiautomaton (IBFSA) of a finite group is defined. The ideas of an implication-based fuzzy kernel and implication-based fuzzy subsemiautomaton of an IBFSA over a finite group are developed using the concept of implication-based fuzzy subgroup and implication-based fuzzy normal subgroup. The necessary and sufficient condition for the implication-based fuzzy kernel and implication-based fuzzy subsemiautomaton of an IBFSA and few other results are proved in this paper.