Oner T.Katican T.Rezaei A.2023-01-122023-01-122021233160552331-6055https://hdl.handle.net/11454/80151The aim of the study is to examine a neutrosophic N -subalgebra, a neutrosophic N -filter, level sets of these neutrosophic N -structures and their properties on a strong Sheffer stroke non-associative MV-algebra. We show that the level set of neutrosophic N -subalgebras on this algebra is its strong Sheffer stroke nonassociative MV-subalgebra and vice versa. Then it is proved that the family of all neutrosophic N -subalgebras of a strong Sheffer stroke non-associative MV-algebra forms a complete distributive lattice. By defining a neutrosophic N -filter of a strong Sheffer stroke non-associative MV-algebra, it is presented that every neutro-sophic N -filter of a strong Sheffer stroke non-associative MV-algebra is its neutrosophic N -subalgebra but the inverse is generally not true, and some properties © 2021. All Rights Reserved.eninfo:eu-repo/semantics/closedAccessfilterneutro-sophic N -filterneutrosophic N -subalgebrastrong Sheffer stroke non-associative MV- algebraDistributive latticeLevel SetMV-algebrasSheffer strokeSubalgebrasAlgebraArticle402352522-s2.0-85105159303Q2