Neutrosophic N-Structures Applied to Sheffer Stroke BL-Algebras

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dc.authoridKatıcan, Tuğçe/0000-0003-1186-6750
dc.authoridRezaei, Akbar/0000-0002-6003-3993
dc.authorscopusid57200450829
dc.authorscopusid6505910883
dc.authorscopusid46861451100
dc.authorscopusid6506230265
dc.authorwosidOner, Tahsin/AAG-8405-2021
dc.authorwosidKatıcan, Tuğçe/HDN-4339-2022
dc.authorwosidRezaei, Akbar/ACS-2067-2022
dc.contributor.authorKatican, Tugce
dc.contributor.authorOner, Tahsin
dc.contributor.authorRezaei, Akbar
dc.contributor.authorSmarandache, Florentin
dc.date.accessioned2023-01-12T20:15:19Z
dc.date.available2023-01-12T20:15:19Z
dc.date.issued2021
dc.departmentN/A/Departmenten_US
dc.description.abstractIn this paper, we introduce a neutrosophic Arsubalgebra, 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.en_US
dc.identifier.doi10.32604/cmes.2021.016996
dc.identifier.endpage372en_US
dc.identifier.issn1526-1492
dc.identifier.issn1526-1506
dc.identifier.issn1526-1492en_US
dc.identifier.issn1526-1506en_US
dc.identifier.issue1en_US
dc.identifier.scopus2-s2.0-85113534537en_US
dc.identifier.scopusqualityQ3en_US
dc.identifier.startpage355en_US
dc.identifier.urihttps://doi.org/10.32604/cmes.2021.016996
dc.identifier.urihttps://hdl.handle.net/11454/78419
dc.identifier.volume129en_US
dc.identifier.wosWOS:000688417500017en_US
dc.identifier.wosqualityQ2en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherTech Science Pressen_US
dc.relation.ispartofCmes-Computer Modeling In Engineering & Sciencesen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectSheffer stroke BL-algebraen_US
dc.subject(ultra) filteren_US
dc.subjectneutrosophic N-subalgebraen_US
dc.subject(ultra) neutrosophic N-filteren_US
dc.titleNeutrosophic N-Structures Applied to Sheffer Stroke BL-Algebrasen_US
dc.typeArticleen_US

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