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On Minimal Fuzzy Realization for a Fuzzy Language: A Categorical Approach
S.P. Tiwari, Vijay K. Yadav and Vinay Gautam

In this paper we study the construction of a minimal fuzzy automaton for a given fuzzy language in a categorical framework. The construction of such fuzzy automaton is based on a fuzzy equivalence relation defined on the free monoid generated by a nonempty set.

Keywords: Fuzzy automaton; fuzzy language; reachbility map; observability map; minimal realization.

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