On L-fuzzy partitioned automata

Abstract

This paper is towards the study of theory of fuzzy automata with fuzzy partitions. Specifically, we study the concept of the L-fuzzy partitioned automaton corresponding to a given L-fuzzy automaton. Further, we introduce the concept of a crisp-deterministic L-fuzzy automaton corresponding to the Lfuzzy partitioned automaton such that both accept the same L-fuzzy language. Finally, the notion of the fuzzified L-fuzzy partitioned automaton corresponding to a given L-fuzzy partitioned automaton is introduced and a characterization of its L-fuzzy language is given.