in this paper, by presenting some notions and theorems, we obtaindifferent types of fuzzy topologies. in fact, we obtain somelowen-type and chang-type fuzzy topologies on general fuzzyautomata. to this end, first we define a kuratowski fuzzy interioroperator which induces a lowen-type fuzzy topology on the set ofstates of a max- min general fuzzy automaton. also by provingsome theorems, ...