BMBJ-neutrosophic subalgebra in BCI/BCK-algebras

H. Bordbar; M. Mohseni Takallo; R.A. Borzooei; Young Bae Jun

doi:10.5281/zenodo.3638246

Neutrosophic Sets and Systems (Dec 2019)

BMBJ-neutrosophic subalgebra in BCI/BCK-algebras

H. Bordbar,
M. Mohseni Takallo,
R.A. Borzooei,
Young Bae Jun

Affiliations

H. Bordbar: Center for Information and Applied Mathematics, University of Nova Gorica, Slovenia
M. Mohseni Takallo: Department of Mathematics, Shahid Beheshti University, Tehran, Iran
R.A. Borzooei: Department of Mathematics, Shahid Beheshti University, Tehran, Iran
Young Bae Jun: Department of Mathematics Education, Gyeongsang National University, Jinju 52828, Korea

DOI: https://doi.org/10.5281/zenodo.3638246
Journal volume & issue: Vol. 31
pp. 31 – 43

Abstract

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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.

bmbj-neutrosophic set; bmbj-neutrosophic subalgebra; bmbj-neutrosophic s-extension

Published in Neutrosophic Sets and Systems

ISSN: 2331-6055 (Print); 2331-608X (Online)
Publisher: University of New Mexico
Country of publisher: United States
LCC subjects: Science: Mathematics: Instruments and machines: Electronic computers. Computer science
Website: http://fs.unm.edu/NSS

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