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International Journal of Neutrosophic Science

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International Journal of Neutrosophic Science

Volume 22 , Issue 3 , PP: 08-14, 2023 | Cite this article as | XML | Html | PDF | Full Length Article

On Neutrosophic D –Topological Spaces

Amer Khrija Abed 1 * , Ekram Abd Ali 2 , Ahmed Salam Razzaq 3 , Qays Hatem Imran 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 - (ekramalimth@mu.edu.iq)
  • 3 Department of Mathematics, College of Education for Pure Science, Al-Muthanna University, Samawah, Iraq - (Ahmed.salam@mu.edu.iq)
  • 4 Department of Mathematics, College of Education for Pure Science, Al-Muthanna University, Samawah, Iraq - (qays.imran@mu.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.220301

    Received: April 20, 2023 Revised: July 02, 2023 Accepted: September 28, 2023
    Abstract

    In this paper, we redefine the dense neutrosophic set operations and, by using them, we introduce new definition for topological space in neutrosophic topological space and also gives the basic specifications for the new definitions of neutrosophic topological space in neutrosophic topological space, we also obtained some properties that show the relationship between neutrosophic topological space and neutrosophic semi-open sets in the neutrosophic topological space, we also studied image characterization and preimages of neutrosophic    topological  space .

    Keywords :

    Neutrosophic dense set , neutrosophic semi-open , neutrosophic topological space , neutrosophic semi-continuous (irresolute) function.

    References

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    [2]  Chang, CL, Fuzzy topological spaces. Journal of mathematical analysis and applications, 24, 1968, pp. 182 - 190.

    [3]  Atanassov, K, Intuitionistic fuzzy sets. VII ITKR’s Session, Sofia. 1983.

    [4]  Coker, D., An introduction to intuitionistic fuzzy topological spaces. Fuzzy sets and systems, 88, 1997, pp. 81 - 89.

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

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

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    [8]  R. Dhavaseelan, R. Narmada Devi and S. Jafari, Characterization of Neutrosophic Nowhere Dense Sets. International Journal of Mathematical Archive-9(3), 2018, 1-5.

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

    [10]       P. Iswarya and Dr. K. Bageerathi, On neutrosophic semi-open sets in neutrosophic topological spaces. International Journal of Mathematics Trends and Technology (IJMTT), Vol 37, No.3 (2016), 24-33.

    [11]       P. Iswarya1 and K. Bageerathi, Neutrosophic Semi-connected Spaces via Neutrosophic Semi-open Sets. Global Journal of Pure and Applied Mathematics. V. 17, N. 2, 2021, pp. 399-410.

    [12]       Bhimraj B. Nijwm W., On Some Properties of Neutrosophic Semi Continuous and Almost Continuous Mapping. Engineering and Sciences Computer Modeling vol.130, no.2, 2022, 1018 – 103.

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

    [14]       Md. Hanif PAGE and Q. H. Imran, Neutrosophic generalized homeomorphism. Neutrosophic Sets and Systems, 35(2020), 340-346.

    [15]       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.

    [16]       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. , Abd, Ekram. , Salam, Ahmed. , Hatem, Qays. , Broumi, Said. On Neutrosophic D –Topological Spaces. International Journal of Neutrosophic Science, vol. , no. , 2023, pp. 08-14. DOI: https://doi.org/10.54216/IJNS.220301
    Khrija, A. Abd, E. Salam, A. Hatem, Q. Broumi, S. (2023). On Neutrosophic D –Topological Spaces. International Journal of Neutrosophic Science, (), 08-14. DOI: https://doi.org/10.54216/IJNS.220301
    Khrija, Amer. Abd, Ekram. Salam, Ahmed. Hatem, Qays. Broumi, Said. On Neutrosophic D –Topological Spaces. International Journal of Neutrosophic Science , no. (2023): 08-14. DOI: https://doi.org/10.54216/IJNS.220301
    Khrija, A. , Abd, E. , Salam, A. , Hatem, Q. , Broumi, S. (2023) . On Neutrosophic D –Topological Spaces. International Journal of Neutrosophic Science , () , 08-14 . DOI: https://doi.org/10.54216/IJNS.220301
    Khrija A. , Abd E. , Salam A. , Hatem Q. , Broumi S. [2023]. On Neutrosophic D –Topological Spaces. International Journal of Neutrosophic Science. (): 08-14. DOI: https://doi.org/10.54216/IJNS.220301
    Khrija, A. Abd, E. Salam, A. Hatem, Q. Broumi, S. "On Neutrosophic D –Topological Spaces," International Journal of Neutrosophic Science, vol. , no. , pp. 08-14, 2023. DOI: https://doi.org/10.54216/IJNS.220301

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