Conjunctive variety of l-fuzzy languages

摘要

Here we study l-fuzzy languages recognized by finite idempotent semirings. We show that the class of semiring recognizable l-fuzzy languages is closed under quotients and inverse homomorphic images. We introduce the concept of conjunctive variety of l-fuzzy languages. We also obtain an Eilenberg's type variety theorem for semiring recognizable l-fuzzy languages.