Some (Fuzzy) Topologies on General\ Fuzzy Automata

In this paper, by presenting some notions and theorems, we obtain different types of fuzzy topologies. In fact, we obtain some Lowen-type and Chang-type fuzzy topologies on general fuzzy automata. To this end, first we define a Kuratowski fuzzy interior operator which induces a Lowen-type fuzzy topology on the set of states of a max- min general fuzzy automaton. Also by proving some theorems, we can define two fuzzy closure (two fuzzy interior) operators on the certain sets related to a general fuzzy automaton and then according to these notions we give some theorems and obtain some different Chang-type fuzzy topologies.