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International Journal of Neutrosophic Science

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Online: 2690-6805 Print: 2692-6148
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International Journal of Neutrosophic Science
Full Length Article

Volume 19Issue 3PP: 08-15 • 2022

Neutrosophic BCK-algebra and Ω-BCK-algebra

Saad H. Zail 1* ,
Majid Mohammed Abed 2 ,
Faisal AL-Sharqi 2
1General Directorate of Education in Anbar, Ministry of Education, Ramadi, Anbar, Iraq
2Department of Mathematics, Faculty of Education For Pure Sciences, University of Anbar, Ramadi, Anbar, Iraq
* Corresponding Author.
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© 2022 The Author(s). Published by ASPG. This article is licensed under the Creative Commons Attribution 4.0 International License (CC BY 4.0).

Received: April 20, 2021 Accepted: October 04, 2022

Abstract

In this paper, we study neutrosophic of one important types of algebra namely BCK-algebra.  Some new results of a generalization of BCK-algebra (Ω-BCK-algebra) have been introduced. Several facts about neutrosophic Ω-BCK-algebra are presented such as neutrosophic of homomorphic image and neutrosophic of kernel homomorphism.  Finally, some definitions, examples, and other properties of neutrosophic BCK-algebra and neutrosophic Ω-BCK-algebra are given.

Keywords

Neutrosophic set Neutrosophic algebra BCK-algebra BCI-algebra Fuzzy set

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Cite This Article

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format_quote
Zail, Saad H., Abed, Majid Mohammed, AL-Sharqi, Faisal. "Neutrosophic BCK-algebra and Ω-BCK-algebra." International Journal of Neutrosophic Science, vol. Volume 19, no. Issue 3, 2022, pp. 08-15. DOI: https://doi.org/10.54216/IJNS.190301
Zail, S., Abed, M., AL-Sharqi, F. (2022). Neutrosophic BCK-algebra and Ω-BCK-algebra. International Journal of Neutrosophic Science, Volume 19(Issue 3), 08-15. DOI: https://doi.org/10.54216/IJNS.190301
Zail, Saad H., Abed, Majid Mohammed, AL-Sharqi, Faisal. "Neutrosophic BCK-algebra and Ω-BCK-algebra." International Journal of Neutrosophic Science Volume 19, no. Issue 3 (2022): 08-15. DOI: https://doi.org/10.54216/IJNS.190301
Zail, S., Abed, M., AL-Sharqi, F. (2022) 'Neutrosophic BCK-algebra and Ω-BCK-algebra', International Journal of Neutrosophic Science, Volume 19(Issue 3), pp. 08-15. DOI: https://doi.org/10.54216/IJNS.190301
Zail S, Abed M, AL-Sharqi F. Neutrosophic BCK-algebra and Ω-BCK-algebra. International Journal of Neutrosophic Science. 2022;Volume 19(Issue 3):08-15. DOI: https://doi.org/10.54216/IJNS.190301
S. Zail, M. Abed, F. AL-Sharqi, "Neutrosophic BCK-algebra and Ω-BCK-algebra," International Journal of Neutrosophic Science, vol. Volume 19, no. Issue 3, pp. 08-15, 2022. DOI: https://doi.org/10.54216/IJNS.190301
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