Abstract
An intuitionistic fuzzy finite automaton with an unique membership transition on an input symbol IFA-UM is considered. IFA-UM homomorphism and strong homomorphism are defined. Admissible relation on the set of states of an IFA-UM is characterized. Each admissible relation on an IFA-UMA, finds an IFA-UM A1 and there is a strong homomorphism from A to A1 .
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