HYPERGROUPS AND GENERAL FUZZY AUTOMATA
عنوان مقاله: HYPERGROUPS AND GENERAL FUZZY AUTOMATA
شناسه ملی مقاله: JR_IJFS-6-2_007
منتشر شده در در سال 1388
شناسه ملی مقاله: JR_IJFS-6-2_007
منتشر شده در در سال 1388
مشخصات نویسندگان مقاله:
Mohammad Horry - Department of Mathematics, Shahid Bahonar University of Kerman, Kerman, Iran
Mohammad Mehdi Zahedi - Department of Mathematics, Shahid Bahonar University of Kerman, Kerman, Iran
خلاصه مقاله:
Mohammad Horry - Department of Mathematics, Shahid Bahonar University of Kerman, Kerman, Iran
Mohammad Mehdi Zahedi - Department of Mathematics, Shahid Bahonar University of Kerman, Kerman, Iran
In this paper, we first define the notion of a complete general fuzzyautomaton with threshold c and construct an H_{nu}- group, as well as commutativehypergroups, on the set of states of a complete general fuzzy automatonwith threshold c. We then define invertible general fuzzy automata, discussthe notions of “homogeneity, “separation, “thresholdness connected, “thresholdnessinner irreducible and “principal and strongly connected, as appliedto them and use these concepts to construct a quasi-order hypergroup on aninvertible general fuzzy automaton. Finally, we derive relationships betweenthe properties of an invertible general fuzzy automaton and the induced hypergroup.
کلمات کلیدی: (General) Fuzzy automata, (Quasi-order) Hypergroup, Invertibility, Connectedness
صفحه اختصاصی مقاله و دریافت فایل کامل: https://civilica.com/doc/1466689/