Department of Mathematics, Shahid Bahonar University of Kerman, Kerman, Iran.
In this paper, by considering the notion of general fuzzy automata, we define the concepts of max-min general fuzzy automata, response function, accessible state with threshold c and connected with threshold c. Then we construct a bifuzzy topology on the set of fuzzy start states of a max-min general fuzzy automaton and a bifuzzy topology on a subset of the set words on the set of input symbols of a max-min general fuzzy automaton. Also, we define the concepts of connectedness (semi-connectedness) between two states p and q with respect to a fuzzy subset of the set of states of a max-min general fuzzy automaton, component of a max-min general fuzzy automaton and concordance between two states p and q with threshold c and with respect to a fuzzy subset of the set of states of a max-min general fuzzy automaton. Finally, by using these notions, we construct a general topology on the set of fuzzy start states of a max-min general fuzzy automaton.
(General) Fuzzy automata, Bifuzzy (General) topology, Accessibility, Connectedness
