Neutrosophic N −structures on strong Sheffer stroke non-associative MV-algebras
Tahsin Öner, Tuğçe Katıcan, Akbar Rezae · UNM’s Digital Repository (University of New Mexico) · 2021
The 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 neutrosophic 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