International Journal of Neutrosophic Science

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https://doi.org/10.54216/IJNS

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International Journal of Neutrosophic Science

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

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 :
    Saad H. Zail, Majid Mohammed Abed, Faisal AL-Sharqi. "Neutrosophic BCK-algebra and Ω-BCK-algebra." Full Length Article, Vol. 19, No. 3, 2022 ,PP. 08-15 (Doi   :  https://doi.org/10.54216/IJNS.190301)
    Saad H. Zail, Majid Mohammed Abed, Faisal AL-Sharqi. (2022). Neutrosophic BCK-algebra and Ω-BCK-algebra. Journal of , 19 ( 3 ), 08-15 (Doi   :  https://doi.org/10.54216/IJNS.190301)
    Saad H. Zail, Majid Mohammed Abed, Faisal AL-Sharqi. "Neutrosophic BCK-algebra and Ω-BCK-algebra." Journal of , 19 no. 3 (2022): 08-15 (Doi   :  https://doi.org/10.54216/IJNS.190301)
    Saad H. Zail, Majid Mohammed Abed, Faisal AL-Sharqi. (2022). Neutrosophic BCK-algebra and Ω-BCK-algebra. Journal of , 19 ( 3 ), 08-15 (Doi   :  https://doi.org/10.54216/IJNS.190301)
    Saad H. Zail, Majid Mohammed Abed, Faisal AL-Sharqi. Neutrosophic BCK-algebra and Ω-BCK-algebra. Journal of , (2022); 19 ( 3 ): 08-15 (Doi   :  https://doi.org/10.54216/IJNS.190301)
    Saad H. Zail, Majid Mohammed Abed, Faisal AL-Sharqi, Neutrosophic BCK-algebra and Ω-BCK-algebra, Journal of , Vol. 19 , No. 3 , (2022) : 08-15 (Doi   :  https://doi.org/10.54216/IJNS.190301)