In this paper, subcategories with threshold c are examined from an active general fuzzy automaton and the generator from an active general fuzzy automaton is defined and the connections between them are examined. Then, under the main and maximum automata with threshold c, one of the active general fuzzy automata will be defined, and it will be proved that each active general fuzzy automaton can be written socially from below the distinct primary and maximum automata with threshold c.

Keywords: Fuzzy automata, generator, sub-automata, maximum.

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