Some (Fuzzy) Topologies on General\\ Fuzzy Automata
نویسندگان
1 Shahid Chamran University of Kerman, Kerman, Iran
2 Department of Mathematics, Shahid Bahonar University of Kerman, Kerman, Iran
doi
10.22111/ijfs.2013.1317چکیده
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, we can define two fuzzy closure (two fuzzyinterior) operators on the certain sets related to a general fuzzyautomaton and then according to these notions we give some theoremsand obtain some different Chang-type fuzzy topologies.
