Neutrosophic N − structures on Sheffer stroke BCH-algebras
The aim of the study is to introduce a neutrosophic N −subalgebra and neutrosophic N −ideal of a Sheffer stroke BCH-algebras. We prove that the level-set of a neutrosophic N −subalgebra (neutrosophic N −ideal) of a Sheffer stroke BCH-algebra is its subalgebra (ideal) and vice versa. Then it is shown...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
University of New Mexico
2022-06-01
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| Series: | Neutrosophic Sets and Systems |
| Subjects: | |
| Online Access: | http://fs.unm.edu/NSS/NeutrosophicShefferStroke27.pdf |
| _version_ | 1811249928894152704 |
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| author | Tahsin Oner Tugce Katican Akbar Rezaei |
| author_facet | Tahsin Oner Tugce Katican Akbar Rezaei |
| author_sort | Tahsin Oner |
| collection | DOAJ |
| description | The aim of the study is to introduce a neutrosophic N −subalgebra and neutrosophic N −ideal of a Sheffer stroke BCH-algebras. We prove that the level-set of a neutrosophic N −subalgebra (neutrosophic N −ideal) of a Sheffer stroke BCH-algebra is its subalgebra (ideal) and vice versa. Then it is shown that the family of all neutrosophic N −subalgebras of a Sheffer stroke BCH-algebra forms a complete distributive modular lattice. Also, we state that every neutrosophic N −ideal of a Sheffer stroke BCH-algebra is its neutrosophic N −subalgebra but the inverse is generally not true. We examine relationships between neutrosophic N −ideals of Sheffer stroke BCH-algebras by means of a surjective homomorphism between these algebras. Finally, certain subsets of a Sheffer stroke BCH-algebra are defined by means of N −functions on this algebraic structure and some properties are investigated. |
| first_indexed | 2024-04-12T15:56:04Z |
| format | Article |
| id | doaj.art-6d9e9de748b449208ebf4d6fe07d9b22 |
| institution | Directory Open Access Journal |
| issn | 2331-6055 2331-608X |
| language | English |
| last_indexed | 2024-04-12T15:56:04Z |
| publishDate | 2022-06-01 |
| publisher | University of New Mexico |
| record_format | Article |
| series | Neutrosophic Sets and Systems |
| spelling | doaj.art-6d9e9de748b449208ebf4d6fe07d9b222022-12-22T03:26:22ZengUniversity of New MexicoNeutrosophic Sets and Systems2331-60552331-608X2022-06-015045947910.5281/zenodo.6774885Neutrosophic N − structures on Sheffer stroke BCH-algebrasTahsin OnerTugce KaticanAkbar RezaeiThe aim of the study is to introduce a neutrosophic N −subalgebra and neutrosophic N −ideal of a Sheffer stroke BCH-algebras. We prove that the level-set of a neutrosophic N −subalgebra (neutrosophic N −ideal) of a Sheffer stroke BCH-algebra is its subalgebra (ideal) and vice versa. Then it is shown that the family of all neutrosophic N −subalgebras of a Sheffer stroke BCH-algebra forms a complete distributive modular lattice. Also, we state that every neutrosophic N −ideal of a Sheffer stroke BCH-algebra is its neutrosophic N −subalgebra but the inverse is generally not true. We examine relationships between neutrosophic N −ideals of Sheffer stroke BCH-algebras by means of a surjective homomorphism between these algebras. Finally, certain subsets of a Sheffer stroke BCH-algebra are defined by means of N −functions on this algebraic structure and some properties are investigated.http://fs.unm.edu/NSS/NeutrosophicShefferStroke27.pdfsheffer stroke bch-algebrasubalgebraneutrosophic n-subalgebraneutrosophic n-ideal |
| spellingShingle | Tahsin Oner Tugce Katican Akbar Rezaei Neutrosophic N − structures on Sheffer stroke BCH-algebras Neutrosophic Sets and Systems sheffer stroke bch-algebra subalgebra neutrosophic n-subalgebra neutrosophic n-ideal |
| title | Neutrosophic N − structures on Sheffer stroke BCH-algebras |
| title_full | Neutrosophic N − structures on Sheffer stroke BCH-algebras |
| title_fullStr | Neutrosophic N − structures on Sheffer stroke BCH-algebras |
| title_full_unstemmed | Neutrosophic N − structures on Sheffer stroke BCH-algebras |
| title_short | Neutrosophic N − structures on Sheffer stroke BCH-algebras |
| title_sort | neutrosophic n structures on sheffer stroke bch algebras |
| topic | sheffer stroke bch-algebra subalgebra neutrosophic n-subalgebra neutrosophic n-ideal |
| url | http://fs.unm.edu/NSS/NeutrosophicShefferStroke27.pdf |
| work_keys_str_mv | AT tahsinoner neutrosophicnstructuresonshefferstrokebchalgebras AT tugcekatican neutrosophicnstructuresonshefferstrokebchalgebras AT akbarrezaei neutrosophicnstructuresonshefferstrokebchalgebras |