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International Journal of Neutrosophic Science

Volume 24 , Issue 1 , PP: 208-218, 2024 | Cite this article as | XML | Html | PDF | Full Length Article

Neutrosophic Binary Separation Axioms associated Neutrosophic Binary Kernel Set

Amer Khrija Abed 1 * , Sarab Kazim Hassan 2 , Qays Hatem Imran 3 , Ali H. M. Al-Obaidi 4 , Said Broumi 5

  • 1 Department of Mathematics, College of Education for Pure Science, Al-Muthanna University, Samawah, Iraq - (amer.khrija@mu.edu.iq)
  • 2 Department of Mathematics, College of Education for Pure Science, Al-Muthanna University, Samawah, Iraq - (sarab.kadhim@mu.edu.iq)
  • 3 Department of Mathematics, College of Education for Pure Science, Al-Muthanna University, Samawah, Iraq - (qays.imran@mu.edu.iq)
  • 4 Department of Mathematics, College of Education for Pure Science, University of Babylon, Hillah, Iraq - (aalobaidi@uobabylon.edu.iq)
  • 5 Laboratory of Information Processing, Faculty of Science Ben M’Sik, University Hassan II, B.P 7955, Morocco - (broumisaid78@gmail.com)

    • Doi: https://doi.org/10.54216/IJNS.240119

    Received: August 14, 2023 Revised: December 23, 2023 Accepted: April 04, 2024
    Abstract

    The primary purpose of this report is to present an idea that is considered one of the main ideas in neutrosophic binary topological spaces. We plead them the axioms of neutrosophic binary separation axioms associated in the neutrosophic binary kernel. Also we studied its characteristics and the relationships between these new neutrosophic binary separation axioms and their relationships with some other properties.  

     

    Keywords :

    Neutrosophic Set , Neutrosophic Binary Separation , Neutrosophic Binary Kernel Set , binary topological spaces

    References

    [1]  Florentin Smarandache, A Unifying Field in Logics: Neutrosophic Logic. Neutrosophy, Neutrosophic Set, Neutrosophic Probability. American Research Press, RehoBoth, NM. 1999.

    [2]  Florentin Smaradache, Neutrosophic Set :- A Generalization of Intuitionistic Fuzzy set. Journal of Defense Resourses Management. 1 (2010), 107-116.

    [3]  A. A. Salama and S. A. Alblowi, Neutrosophic set and neutrosophic topological space. ISOR J. Mathematics, Vol (3), Issue (4), (2012). pp-31-35.

    [4]  Serkan K.¸ and Cemil K., Neutrosophic Topology. Neutrosophic Sets and Systems, Vol. 13, 2016 , 90-95.

    [5]  R Suresh, R. & Palaniammal S., Separation axioms in neutrosophic topological spaces. Journal of Physics: Conference Series, (2020) .

    [6]  Acikgoz, A. & Esenbel, F. A look on separation axioms in neutrosophic topological. AIP Conference Proceedings, (2021).

    [7]  Suman Das and Rakhal Das, Neutrosophic Separation Axioms. Neutrosophic Sets and Systems, Vol. 49, 2022.

    [8]  M. M. Abdulkadhi , Q. H. Imran and A. Kh. Abed, On Neutrosophic Generalized Alpha Generalized Separation Axioms. International Journal of Neutrosophic Science (IJNS), Vol. 19, No. 01, PP. 99-106, 2022.

    [9]  Sudeep D. Gautam C., Separation Axioms in Neutrosophic Topological Spaces. Neutrosophic Systems with Applications, Vol. 2, 2023, 38.

    [10]       Sudeep D. Gautam C., Pre-separation Axioms in Neutrosophic Topological Spaces. International Journal of Neutrosophic Science (IJNS), Vol. 22, No. 01, PP. 15-28, 2023.

    [11]       A. K. Abed, E. Abd Ali, A. S. Razzaq, Q. H. Imran, S. Broumi, On Neutrosophic D–Topological Spaces. International Journal of Neutrosophic Science, Vol.22, No.3, 2023, 8-14.

    [12]       S. N. Jothi, P. Thangavelu, Topology Between Two Sets. J. Math. Sci. Computer Appl. 1(3) (2011), 95-107.

    [13]       S. N. Jothi, Contribution to Binary Topological Spaces, Ph.D. Thesis, Manonmaniam Sundaranar University,Tirunelveli, 2012.

    [14]       S. N. Jothi, P. Thangavelu, On Binary Continuity and Separation Axioms. Ultra Sci. 24 (2012), 121-126.

    [15]       A. Khrija Abed, Binary  Separation Axioms in Binary Topological Spaces. Galoitica: Journal of Mathematical Structures and Applications (GJMSA) Vol. 09, No. 02, 2023, PP. 49-55.

    [16]       S. S. Surekha, J. Elekiah and G.Sindhu, A study on Neutrosophic Binary Topological space. Stochastic. Modelling and applications, 26(3), 2022, 479-486.

    [17]       Surekha S. S., Broumi Said, A Novel Approach on Neutrosophic Binary αgs Neighborhood Pointsand its Operators. International Journal of Neutrosophic Science (IJNS), Vol. 19, No. 01, PP. 306-313, 2022

    [18]       A.G.Rose Venish, L. Vidyarani, Neutrosophic Binary Crisp Points And Neutrosophic Binary Neighborhoods. Journal of Neutrosophic and Fuzzy Systems, Vol. 05, No. 01, 2023,PP. 15-22.

    [19]       Q. H. Imran, A. H. M. Al-Obaidi, & Smarandache, F., On Some Types of Neutrosophic Topological Groups with Respect to Neutrosophic Alpha Open Sets. Neutrosophic Sets and Systems, 32, (2020), 425-434.

    [20]       Q. H. Imran, R. Dhavaseelan, A. H. M. Al-Obaidi and Md. Hanif PAGE, On neutrosophic generalized alpha generalized continuity. Neutrosophic Sets and Systems, 35(2020), 511-521.

    [21]       Q. H. Imran, A. H. M. Al-Obaidi, F. Smarandache and S. Broumi, On Neutrosophic Generalized Semi Generalized Closed Sets. International Journal of Neutrosophic Science, vol.18, No.3, 2022, pp.10-20.

    Cite This Article As :
    Khrija, Amer. , Kazim, Sarab. , Hatem, Qays. , H., Ali. , Broumi, Said. Neutrosophic Binary Separation Axioms associated Neutrosophic Binary Kernel Set. International Journal of Neutrosophic Science, vol. , no. , 2024, pp. 208-218. DOI: https://doi.org/10.54216/IJNS.240119
    Khrija, A. Kazim, S. Hatem, Q. H., A. Broumi, S. (2024). Neutrosophic Binary Separation Axioms associated Neutrosophic Binary Kernel Set. International Journal of Neutrosophic Science, (), 208-218. DOI: https://doi.org/10.54216/IJNS.240119
    Khrija, Amer. Kazim, Sarab. Hatem, Qays. H., Ali. Broumi, Said. Neutrosophic Binary Separation Axioms associated Neutrosophic Binary Kernel Set. International Journal of Neutrosophic Science , no. (2024): 208-218. DOI: https://doi.org/10.54216/IJNS.240119
    Khrija, A. , Kazim, S. , Hatem, Q. , H., A. , Broumi, S. (2024) . Neutrosophic Binary Separation Axioms associated Neutrosophic Binary Kernel Set. International Journal of Neutrosophic Science , () , 208-218 . DOI: https://doi.org/10.54216/IJNS.240119
    Khrija A. , Kazim S. , Hatem Q. , H. A. , Broumi S. [2024]. Neutrosophic Binary Separation Axioms associated Neutrosophic Binary Kernel Set. International Journal of Neutrosophic Science. (): 208-218. DOI: https://doi.org/10.54216/IJNS.240119
    Khrija, A. Kazim, S. Hatem, Q. H., A. Broumi, S. "Neutrosophic Binary Separation Axioms associated Neutrosophic Binary Kernel Set," International Journal of Neutrosophic Science, vol. , no. , pp. 208-218, 2024. DOI: https://doi.org/10.54216/IJNS.240119

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