Neutrosophic N −structures on strong Sheffer stroke non-associative MV-algebras
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 str...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
University of New Mexico
2021-02-01
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| Series: | Neutrosophic Sets and Systems |
| Subjects: | |
| Online Access: | http://fs.unm.edu/NSS/NeutrosophicNStructuresOnSrongSheffer14.pdf |
| Summary: | 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 |
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| ISSN: | 2331-6055 2331-608X |