\mathcal{N}-Fuzzy UP-Algebras and its level subsets

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.

Keywords:

UP-algebra , mathcal{N}-fuzzy UP-subalgebra , mathcal{N}-fuzzy UP-filter , mathcal{N}-fuzzy UP-ideal , mathcal{N}-fuzzy strongly UP-ideal