UNIFORM AND SEMI-UNIFORM TOPOLOGY ON GENERAL FUZZY AUTOMATA

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HORRY M.; ZAHEDI M.M.

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Journal Paper

Paper Information

Journal: Iranian Journal of Fuzzy Systems Year:2009 | Volume:6 | Issue:2 Page(s): 19-29

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Information Journal Paper

Title

UNIFORM AND SEMI-UNIFORM TOPOLOGY ON GENERAL FUZZY AUTOMATA

Author(s)

HORRY M. | ZAHEDI M.M. | Issue Writer Certificate

Keywords

(GENERAL) FUZZY AUTOMATAQ2

(UNIFORM) TOPOLOGYQ2

RESPONSE FUNCTIONQ2

COMPATIBILITYQ2

TRANSITIVITYQ2

Abstract

In this paper, we define 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. By using these notions, we construct a uniform structure on Q, and also introduce a topology on it. Then we define the concept of semi-uniform structure on a nonempty set X and by using this notion, we construct a semi-uniform structure on the set of states of a general fuzzy automaton. Also, we construct a semi-uniform structure on S*the set of all finite words on S, the set of input symbols of a general fuzzy automaton. Moreover by using these semi-uniform structures, we construct two topologies on Q and S* and obtain some properties of these topologies.

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APA: Copy

HORRY, M., & ZAHEDI, M.M.. (2009). UNIFORM AND SEMI-UNIFORM TOPOLOGY ON GENERAL FUZZY AUTOMATA. IRANIAN JOURNAL OF FUZZY SYSTEMS, 6(2), 19-29. SID. https://sid.ir/paper/113398/en

Vancouver: Copy

HORRY M., ZAHEDI M.M.. UNIFORM AND SEMI-UNIFORM TOPOLOGY ON GENERAL FUZZY AUTOMATA. IRANIAN JOURNAL OF FUZZY SYSTEMS[Internet]. 2009;6(2):19-29. Available from: https://sid.ir/paper/113398/en

IEEE: Copy

M. HORRY, and M.M. ZAHEDI, “UNIFORM AND SEMI-UNIFORM TOPOLOGY ON GENERAL FUZZY AUTOMATA,” IRANIAN JOURNAL OF FUZZY SYSTEMS, vol. 6, no. 2, pp. 19–29, 2009, [Online]. Available: https://sid.ir/paper/113398/en

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