TY - JOUR ID - 3023 TI - $\mathcal{N}$-Fuzzy UP-Algebras and its level subsets JO - Journal of Algebra and Related Topics JA - JART LA - en SN - 2345-3931 AU - Songsaeng, M. AU - Iampan, A. AD - University of Phayao, Phayao, Thailan AD - University of Phayao, Phayao, Thailand Y1 - 2018 PY - 2018 VL - 6 IS - 1 SP - 1 EP - 24 KW - UP-algebra KW - $mathcal{N}$-fuzzy UP-subalgebra KW - $mathcal{N}$-fuzzy UP-filter KW - $mathcal{N}$-fuzzy UP-ideal KW - $mathcal{N}$-fuzzy strongly UP-ideal DO - 10.22124/jart.2018.10280.1102 N2 - 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. UR - https://jart.guilan.ac.ir/article_3023.html L1 - https://jart.guilan.ac.ir/article_3023_eb6a1cfb82810f057804c9773be257d9.pdf ER -