Some (Fuzzy) Topologies on General Fuzzy Automata

Abstract

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