M. Horry - Department of Mathematics, Shahid Bahonar University of Kerman, Kerman, Iran
M. M. Zahedi - Department of Mathematics, Shahid Bahonar University of Kerman, Kerman, Iran

In this paper, we dene the concepts of compatibility between twofuzzy subsets on Q, the set of states of a max- min general fuzzy automatonand transitivity in a max-min general fuzzy automaton. We then construct auniform structure on Q, and dene a topology on it. We also dene the conceptof semi-uniform structures on a nonempty set X and construct a semi-uniformstructure on the set of states of a general fuzzy automaton. We then constructa semi-uniform structure on , the set of all nite words on , the set ofinput symbols of a general fuzzy automaton and, nally, using these semi-uniform structures, we construct two topologies on Q and  and discuss theirproperties.

(General) Fuzzy automata, (Uniform) Topology, Response function, Compatibility, Transitivity