Title of article :
DISTINGUISHABILITY and COMPLETENESS OF CRISP DETERMINISTIC FUZZY AUTOMATA
Author/Authors :
Renu Indian School of Mines, Dhanbad , India , P. Tiwari, S. Department of Applied Mathematics - Indian Institute of Technology (ISM, India
Abstract :
Abstract. In this paper, we introduce and study notions like state-
distinguishability, input-distinguishability and output completeness of states
of a crisp deterministic fuzzy automaton. We show that for each crisp de-
terministic fuzzy automaton there corresponds a unique (up to isomorphism),
equivalent distinguished crisp deterministic fuzzy automaton. Finally, we in-
troduce two axioms related to output completeness of states and discuss the
interrelationship between them.
Keywords :
Crisp deterministic fuzzy automaton , Indistinguishable states , Input-indistinguishable , homomorphism , Output complete
Journal title :
Iranian Journal of Fuzzy Systems (IJFS)
