| Title: | BMBJ-neutrosophic subalgebra in BCI/BCK-algebras |
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| Authors: | ID Bordbar, Hashem, University of Nova Gorica (Author)
ID Jun, Young Ba, Gyeongsang National University (Author of abstract)
ID Borzooei, Rajab Ali (Assumed author) |
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| Files: |
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| Language: | English |
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| Work type: | Not categorized |
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| Typology: | 1.01 - Original Scientific Article |
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| Organization: | UNG - University of Nova Gorica
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| 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 subalgebra, as a generalization of a neutrosophic set, is introduced, and it’s an 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 a BMBJ-neutrosophic subalgebra of a BCI/BCK-algebra. Also, a homomorphic (inverse) image of BMBJ-neutrosophic subalgebra and translation of BMBJ-neutrosophic subalgebra is investigated. In the end, we provided conditions for a BMBJ-neutrosophic set to be a BMBJ-neutrosophic subalgebra. |
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| Keywords: | BMBJ-neutrosophic set, BMBJ-neutrosophic subalgebra, BMBJ-neutrosophic S-extension. |
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| Year of publishing: | 2020 |
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| Number of pages: | 13 |
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| Numbering: | 1, 31 |
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| PID: | 20.500.12556/RUNG-5048-b043eb08-97b0-22f0-9fb9-206d7ed92cdf |
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| COBISS.SI-ID: | 5574651 |
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| NUK URN: | URN:SI:UNG:REP:F2KBVNYT |
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| Publication date in RUNG: | 24.02.2020 |
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| Views: | 2668 |
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| Downloads: | 0 |
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