Abstract :
Here we study l-fuzzy languages recognized by finite monoids. We show that the class of monoid recognizable l-fuzzy languages is closed under scalar products, quotients, inverse homomorphic images and c-cuts. We introduce the notion of variety of monoid recognizable l-fuzzy languages. Also we obtain an Eilenberg type variety theorem for l-fuzzy languages.
Keyword :
l-fuzzy languages, Syntactic Congruence,Variety of l-fuzzy languages. 2000 Mathematics Subject Classification : 20Mxx, 68Q45, 03E72.