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Neutrosophic Sets and Systems
Article . 2019
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https://dx.doi.org/10.5281/zen...
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BMBJ-neutrosophic subalgebra in BCI/BCK-algebras

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 01 Dec 2019Publisher:ZenodoJournal:Neutrosophic Sets and Systems (issn: 2331-6055, Copyright policy )
Authors: H. Bordbar; M. Mohseni Takallo; R.A. Borzooei; Young Bae Jun;

doi: 10.5281/zenodo.3638246 , 10.5281/zenodo.3638245

BMBJ-neutrosophic subalgebra in BCI/BCK-algebras

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 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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Keywords

Electronic computers. Computer science, QA1-939, QA75.5-76.95, bmbj-neutrosophic set; bmbj-neutrosophic subalgebra; bmbj-neutrosophic s-extension, Mathematics

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popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
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influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
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impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
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