MBJ-neutrosophic structures and its applications in BCK/BCI-algebras
Smarandache (F. Smarandache. Neutrosophy, neutrosophic probability, set, and logic, ProQuest Information & Learning, Ann Arbor,Michigan, USA, 105 p., 1998) initiated neutrosophic sets which can be used as a mathematical tool for dealing with indeterminates and inconsistent information. As a gene...
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| Format: | Article |
| Language: | English |
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University of New Mexico
2018-12-01
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| Series: | Neutrosophic Sets and Systems |
| Subjects: | |
| Online Access: | http://fs.unm.edu/NSS/MBJNeutrosophicStructures.pdf |
| _version_ | 1818517202919227392 |
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| author | M. Mohseni Takallo R.A. Borzooei Young Bae Jun |
| author_facet | M. Mohseni Takallo R.A. Borzooei Young Bae Jun |
| author_sort | M. Mohseni Takallo |
| collection | DOAJ |
| description | Smarandache (F. Smarandache. Neutrosophy, neutrosophic probability, set, and logic, ProQuest Information & Learning, Ann Arbor,Michigan, USA, 105 p., 1998) initiated neutrosophic sets which can be used as a mathematical tool for dealing with indeterminates and inconsistent information. As a generalization of a neutrosophic set, the notion of MBJ-neutrosophic sets is introduced, and it is applied to BCK/BCI-algebras. The concept of MBJ-neutrosophic subalgebras in BCK/BCI-algebras is introduced, and related properties are investigated. A characterization of MBJ-neutrosophic subalgebra is provided. Using an MBJ-neutrosophic subalgebra of a BCI-algebra, a new MBJ-neutrosophic subalgebra is established. Homomorphic inverse image of MBJ-neutrosophic subalgebra is considered. Translation of MBJ-neutrosophic subalgebra is discussed. Conditions for an MBJ-neutrosophic set to be an MBJ-neutrosophic subalgebra are provided. |
| first_indexed | 2024-12-11T00:53:00Z |
| format | Article |
| id | doaj.art-91aed80bc2ed42bfa9e7e956b98d3287 |
| institution | Directory Open Access Journal |
| issn | 2331-6055 2331-608X |
| language | English |
| last_indexed | 2024-12-11T00:53:00Z |
| publishDate | 2018-12-01 |
| publisher | University of New Mexico |
| record_format | Article |
| series | Neutrosophic Sets and Systems |
| spelling | doaj.art-91aed80bc2ed42bfa9e7e956b98d32872022-12-22T01:26:35ZengUniversity of New MexicoNeutrosophic Sets and Systems2331-60552331-608X2018-12-0123728410.5281/zenodo.2155211MBJ-neutrosophic structures and its applications in BCK/BCI-algebrasM. Mohseni TakalloR.A. BorzooeiYoung Bae JunSmarandache (F. Smarandache. Neutrosophy, neutrosophic probability, set, and logic, ProQuest Information & Learning, Ann Arbor,Michigan, USA, 105 p., 1998) initiated neutrosophic sets which can be used as a mathematical tool for dealing with indeterminates and inconsistent information. As a generalization of a neutrosophic set, the notion of MBJ-neutrosophic sets is introduced, and it is applied to BCK/BCI-algebras. The concept of MBJ-neutrosophic subalgebras in BCK/BCI-algebras is introduced, and related properties are investigated. A characterization of MBJ-neutrosophic subalgebra is provided. Using an MBJ-neutrosophic subalgebra of a BCI-algebra, a new MBJ-neutrosophic subalgebra is established. Homomorphic inverse image of MBJ-neutrosophic subalgebra is considered. Translation of MBJ-neutrosophic subalgebra is discussed. Conditions for an MBJ-neutrosophic set to be an MBJ-neutrosophic subalgebra are provided.http://fs.unm.edu/NSS/MBJNeutrosophicStructures.pdfMBJ-neutrosophic setMBJ-neutrosophic subalgebra |
| spellingShingle | M. Mohseni Takallo R.A. Borzooei Young Bae Jun MBJ-neutrosophic structures and its applications in BCK/BCI-algebras Neutrosophic Sets and Systems MBJ-neutrosophic set MBJ-neutrosophic subalgebra |
| title | MBJ-neutrosophic structures and its applications in BCK/BCI-algebras |
| title_full | MBJ-neutrosophic structures and its applications in BCK/BCI-algebras |
| title_fullStr | MBJ-neutrosophic structures and its applications in BCK/BCI-algebras |
| title_full_unstemmed | MBJ-neutrosophic structures and its applications in BCK/BCI-algebras |
| title_short | MBJ-neutrosophic structures and its applications in BCK/BCI-algebras |
| title_sort | mbj neutrosophic structures and its applications in bck bci algebras |
| topic | MBJ-neutrosophic set MBJ-neutrosophic subalgebra |
| url | http://fs.unm.edu/NSS/MBJNeutrosophicStructures.pdf |
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