Fuzzy Topology and Bifuzzy Topology on General Fuzzy Automata

In this paper, an association is begun between (Chang-type) fuzzy topology and bifuzzy topology on the one hand and max-min general fuzzyautomata on the other. For this purpose, we firstdefine two fuzzy closure operators which induce two Chang-type fuzzy topologies on the set of domainof fuzzy start states of a max- min general fuzzy automaton and a subset of the set of input symbols of a max- min general fuzzy automaton, respectively. Thenwe define two fuzzy interior operators which induce two Chang-type fuzzy topologies on a subset of the set of states of a max- min general fuzzy automaton and a subset of the set of input symbols of a max- min general fuzzy automaton, respectively. Finally, weconstruct a bifuzzy topology on the set of fuzzy startstates of a max- min general fuzzy automaton and a bifuzzy topology on a subset of the set words on theset of input symbols of a max- min general fuzzy automaton.

کلیدواژه ها:

(General) Fuzzy automata ، (Changtype) Fuzzy topology ، Fuzzy closure operator ، Fuzzy interior operator ، Bifuzzy topology