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$\mathcal{N}$-Fuzzy UP-Algebras and its level subsets | ||
Journal of Algebra and Related Topics | ||
مقاله 1، دوره 6، شماره 1، شهریور 2018، صفحه 1-24 اصل مقاله (317.71 K) | ||
نوع مقاله: Research Paper | ||
شناسه دیجیتال (DOI): 10.22124/jart.2018.10280.1102 | ||
نویسندگان | ||
M. Songsaeng1؛ A. Iampan* 2 | ||
1University of Phayao, Phayao, Thailan | ||
2University of Phayao, Phayao, Thailand | ||
چکیده | ||
In this paper, $\mathcal{N}$-fuzzy UP-subalgebras (resp., $\mathcal{N}$-fuzzy UP-filters, $\mathcal{N}$-fuzzy UP-ideals and $\mathcal{N}$-fuzzy strongly UP-ideals) of UP-algebras are introduced and considered their generalizations and characteristic $\mathcal{N}$-fuzzy sets of UP-subalgebras (resp., UP-filters, UP-ideals and strongly UP-ideals). Further, we discuss the relations between $\mathcal{N}$-fuzzy UP-subalgebras (resp., $\mathcal{N}$-fuzzy UP-filters, $\mathcal{N}$-fuzzy UP-ideals and $\mathcal{N}$-fuzzy strongly UP-ideals) and its level subsets. | ||
کلیدواژهها | ||
UP-algebra؛ $mathcal{N}$-fuzzy UP-subalgebra؛ $mathcal{N}$-fuzzy UP-filter؛ $mathcal{N}$-fuzzy UP-ideal؛ $mathcal{N}$-fuzzy strongly UP-ideal | ||
آمار تعداد مشاهده مقاله: 926 تعداد دریافت فایل اصل مقاله: 1,171 |