HYPERGROUPS AND GENERAL FUZZY AUTOMATA

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HORRY M.; ZAHEDI M.M.

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Journal Paper

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Journal: Iranian Journal of Fuzzy Systems Year:2009 | Volume:6 | Issue:2 Page(s): 61-74

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Information Journal Paper

Title

HYPERGROUPS AND GENERAL FUZZY AUTOMATA

Author(s)

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

Keywords

(GENERAL) FUZZY AUTOMATAQ2

(QUASI-ORDER) HYPERGROUPQ2

INVERTIBILITYQ2

CONNECTEDNESSQ2

Abstract

In this paper, we first define the notion of a complete general fuzzy automaton with threshold c and construct an Hv- group, as well as commutative hypergroups, on the set of states of a complete general fuzzy automaton with threshold c. We then define invertible (GENERAL) FUZZY AUTOMATA, discuss the notions of "homogeneity, "separation. "thresholdness connected, "thresholdness inner irreducible and "principal and strongly connected. as applied to them and use these concepts to construct a (QUASI-ORDER) HYPERGROUP on an invertible general fuzzy automaton. Finally we derive relationships between the properties of an invertible general fuzzy automaton and the induced hypergroup.

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APA: Copy

HORRY, M., & ZAHEDI, M.M.. (2009). HYPERGROUPS AND GENERAL FUZZY AUTOMATA. IRANIAN JOURNAL OF FUZZY SYSTEMS, 6(2), 61-74. SID. https://sid.ir/paper/113396/en

Vancouver: Copy

HORRY M., ZAHEDI M.M.. HYPERGROUPS AND GENERAL FUZZY AUTOMATA. IRANIAN JOURNAL OF FUZZY SYSTEMS[Internet]. 2009;6(2):61-74. Available from: https://sid.ir/paper/113396/en

IEEE: Copy

M. HORRY, and M.M. ZAHEDI, “HYPERGROUPS AND GENERAL FUZZY AUTOMATA,” IRANIAN JOURNAL OF FUZZY SYSTEMS, vol. 6, no. 2, pp. 61–74, 2009, [Online]. Available: https://sid.ir/paper/113396/en

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