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Some (Fuzzy) Topologies on General\\ Fuzzy Automata | ||
Iranian Journal of Fuzzy Systems | ||
مقاله 7، دوره 10، شماره 6، زمستان 2013، صفحه 73-89 اصل مقاله (468.16 K) | ||
نوع مقاله: Research Paper | ||
شناسه دیجیتال (DOI): 10.22111/ijfs.2013.1317 | ||
نویسندگان | ||
M. Horry ![]() | ||
1Shahid Chamran University of Kerman, Kerman, Iran | ||
2Department of Mathematics, Shahid Bahonar University of Kerman, Kerman, Iran | ||
چکیده | ||
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. | ||
کلیدواژهها | ||
(General) Fuzzy automata؛ (Lowen-type؛ Chang-type) Fuzzy topology؛ Closure operator؛ topology؛ Fuzzy closure operator؛ Fuzzy interior operator | ||
مراجع | ||
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