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UNIFORM AND SEMI-UNIFORM TOPOLOGY ON GENERAL FUZZY AUTOMATA | ||
| Iranian Journal of Fuzzy Systems | ||
| مقاله 4، دوره 6، شماره 2، شهریور 2009، صفحه 19-29 اصل مقاله (218.16 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22111/ijfs.2009.205 | ||
| نویسندگان | ||
| M. Horry* ؛ M. M. Zahedi | ||
| Department of Mathematics, Shahid Bahonar University of Kerman, Kerman, Iran | ||
| چکیده | ||
| In this paper, we dene the concepts of compatibility between two fuzzy subsets on Q, the set of states of a max- min general fuzzy automaton and transitivity in a max-min general fuzzy automaton. We then construct a uniform structure on Q, and dene a topology on it. We also dene the concept of semi-uniform structures on a nonempty set X and construct a semi-uniform structure on the set of states of a general fuzzy automaton. We then construct a semi-uniform structure on , the set of all nite words on , the set of input symbols of a general fuzzy automaton and, nally, using these semi- uniform structures, we construct two topologies on Q and and discuss their properties. | ||
| کلیدواژهها | ||
| (General) Fuzzy automata؛ (Uniform) Topology؛ Response function؛ Compatibility؛ Transitivity | ||
| مراجع | ||
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