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BMBJ-neutrosophic subalgebra in BCI/BCK-algebrasopen accessBMBJ-neutrosophic subalgebra in <i>BCI/BCK</i>-algebras
- Other Titles
- BMBJ-neutrosophic subalgebra in <i>BCI/BCK</i>-algebras
- Issue Date
- Jul-2020
- Publisher
- University of New Mexico
- Keywords
- BMBJ-neutrosophic set; BMBJ-neutrosophic subalgebra; BMBJ-neutrosophic S-extension
- Citation
- Neutrosophic Sets and Systems, v.31, pp 31 - 43
- Pages
- 13
- Indexed
- SCOPUS
ESCI
- Journal Title
- Neutrosophic Sets and Systems
- Volume
- 31
- Start Page
- 31
- End Page
- 43
- ISSN
- 2331-608X
- Abstract
- For the first time Smarandache introduced neutrosophic sets which can be used as a mathematical tool for dealing with indeterminate and inconsistent information. the notion of BMBJ-neutrosophic set and subalge-bra, as a generalization of a neutrosophic set, is introduced, and it's application to BCI/BCK-algebras is investigated. The concept of BMBJ-neutrosophic subalgebras in BCI/BCK-algebras is introduced, and related properties are investigated. New BMBJ-neutrosophic subalgebra is established by using an BMBJ-neutrosophic subalgebra of a BCI/BCK-algebra. Alos, homomorphic (inverse) image of BMBJ-neutrosophic subalgebra and translation of BMBJ-neutrosophic subalgebra is investigated. At the end, we provided conditions for an BMBJ-neutrosophic set to be an BMBJ-neutrosophic subalgebra.
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