Document Type : Research Paper


1 Indian School of Mines, Dhanbad, India

2 Department of Applied Mathematics, Indian Institute of Technology (ISM), Dhanbad-826004, India


In this paper, we introduce and study notions like state-\\linebreak distinguishability, input-distinguishability and output completeness of states of a crisp deterministic fuzzy automaton. We show that for each crisp deterministic fuzzy automaton there corresponds a unique (up to isomorphism), equivalent distinguished crisp deterministic fuzzy automaton. Finally, we introduce two axioms related to output completeness of states and discuss the interrelationship between them.


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