UNIFORM AND SEMI-UNIFORM TOPOLOGY ON GENERAL FUZZY AUTOMATA
نویسندگان
1 Department of Mathematics, Shahid Bahonar University of Kerman, Kerman, Iran
2 Department of Mathematics, Shahid Bahonar University of Kerman, Kerman, Iran
doi
10.22111/ijfs.2009.205چکیده
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.
