University of Guilan Journal of Algebra and Related Topics 2345-3931 6 1 2018 06 01 $\mathcal{N}$-Fuzzy UP-Algebras and its level subsets 1 24 3023 10.22124/jart.2018.10280.1102 EN M. Songsaeng University of Phayao, Phayao, Thailan A. Iampan University of Phayao, Phayao, Thailand Journal Article 2018 04 30 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).<br />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. https://jart.guilan.ac.ir/article_3023_eb6a1cfb82810f057804c9773be257d9.pdf