International Journal of Neutrosophic Science

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https://doi.org/10.54216/IJNS

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Volume 19 , Issue 3 , PP: 08-15, 2022 | Cite this article as | XML | Html | PDF | Full Length Article

Neutrosophic BCK-algebra and Ω-BCK-algebra

Saad H. Zail 1 * , Majid Mohammed Abed 2 , Faisal AL-Sharqi 3

  • 1 General Directorate of Education in Anbar, Ministry of Education, Ramadi, Anbar, Iraq - (SaadHaif50@gmail.com)
  • 2 Department of Mathematics, Faculty of Education For Pure Sciences, University of Anbar, Ramadi, Anbar, Iraq - (Majid_math@uoanbar.edu.iq)
  • 3 Department of Mathematics, Faculty of Education For Pure Sciences, University of Anbar, Ramadi, Anbar, Iraq - ( Faisal.Sharqi@gmail.com)
  • Doi: https://doi.org/10.54216/IJNS.190301

    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 As :
    H., Saad. , Mohammed, Majid. , AL-Sharqi, Faisal. Neutrosophic BCK-algebra and Ω-BCK-algebra. International Journal of Neutrosophic Science, vol. , no. , 2022, pp. 08-15. DOI: https://doi.org/10.54216/IJNS.190301
    H., S. Mohammed, M. AL-Sharqi, F. (2022). Neutrosophic BCK-algebra and Ω-BCK-algebra. International Journal of Neutrosophic Science, (), 08-15. DOI: https://doi.org/10.54216/IJNS.190301
    H., Saad. Mohammed, Majid. AL-Sharqi, Faisal. Neutrosophic BCK-algebra and Ω-BCK-algebra. International Journal of Neutrosophic Science , no. (2022): 08-15. DOI: https://doi.org/10.54216/IJNS.190301
    H., S. , Mohammed, M. , AL-Sharqi, F. (2022) . Neutrosophic BCK-algebra and Ω-BCK-algebra. International Journal of Neutrosophic Science , () , 08-15 . DOI: https://doi.org/10.54216/IJNS.190301
    H. S. , Mohammed M. , AL-Sharqi F. [2022]. Neutrosophic BCK-algebra and Ω-BCK-algebra. International Journal of Neutrosophic Science. (): 08-15. DOI: https://doi.org/10.54216/IJNS.190301
    H., S. Mohammed, M. AL-Sharqi, F. "Neutrosophic BCK-algebra and Ω-BCK-algebra," International Journal of Neutrosophic Science, vol. , no. , pp. 08-15, 2022. DOI: https://doi.org/10.54216/IJNS.190301