Some (Fuzzy) Topologies on General\ Fuzzy Automata
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Abstract:
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.
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Journal title
volume 10 issue 6
pages 73- 89
publication date 2013-12-26
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