@Article{cmes.2021.016996,
AUTHOR = {Tugce Katican, Tahsin Oner, Akbar Rezaei, Florentin Smarandache},
TITLE = {Neutrosophic N-Structures Applied to Sheffer Stroke BL-Algebras},
JOURNAL = {Computer Modeling in Engineering \& Sciences},
VOLUME = {129},
YEAR = {2021},
NUMBER = {1},
PAGES = {355--372},
URL = {http://www.techscience.com/CMES/v129n1/44204},
ISSN = {1526-1506},
ABSTRACT = {In this paper, we introduce a neutrosophic N-subalgebra, a (ultra) neutrosophic N-filter, level sets of these neutrosophic N-structures and their properties on a Sheffer stroke BL-algebra. By defining a quasi-subalgebra of a Sheffer stroke BL-algebra, it is proved that the level set of neutrosophic N-subalgebras on the algebraic structure is its quasi-subalgebra and vice versa. Then we show that the family of all neutrosophic N-subalgebras of a Sheffer stroke BL-algebra forms a complete distributive lattice. After that a (ultra) neutrosophic N-filter of a Sheffer stroke BL-algebra is described, we demonstrate that every neutrosophic N-filter of a Sheffer stroke BL-algebra is its neutrosophic N-subalgebra but the inverse is generally not true. Finally, it is presented that a level set of a (ultra) neutrosophic N-filter of a Sheffer stroke BL-algebra is also its (ultra) filter and the inverse is always true. Moreover, some features of neutrosophic N-structures on a Sheffer stroke BL-algebra are investigated.},
DOI = {10.32604/cmes.2021.016996}
}