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International Journal of Neutrosophic Science
Volume 22 , Issue 3, PP: 08-14 , 2023 | Cite this article as | XML | Html |PDF

Title

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)

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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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[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 :
Style #
MLA Amer Khrija Abed, Ekram Abd Ali, Ahmed Salam Razzaq, Qays Hatem Imran, Said Broumi. "On Neutrosophic D –Topological Spaces." International Journal of Neutrosophic Science, Vol. 22, No. 3, 2023 ,PP. 08-14 (Doi   :  https://doi.org/10.54216/IJNS.220301)
APA Amer Khrija Abed, Ekram Abd Ali, Ahmed Salam Razzaq, Qays Hatem Imran, Said Broumi. (2023). On Neutrosophic D –Topological Spaces. Journal of International Journal of Neutrosophic Science, 22 ( 3 ), 08-14 (Doi   :  https://doi.org/10.54216/IJNS.220301)
Chicago Amer Khrija Abed, Ekram Abd Ali, Ahmed Salam Razzaq, Qays Hatem Imran, Said Broumi. "On Neutrosophic D –Topological Spaces." Journal of International Journal of Neutrosophic Science, 22 no. 3 (2023): 08-14 (Doi   :  https://doi.org/10.54216/IJNS.220301)
Harvard Amer Khrija Abed, Ekram Abd Ali, Ahmed Salam Razzaq, Qays Hatem Imran, Said Broumi. (2023). On Neutrosophic D –Topological Spaces. Journal of International Journal of Neutrosophic Science, 22 ( 3 ), 08-14 (Doi   :  https://doi.org/10.54216/IJNS.220301)
Vancouver Amer Khrija Abed, Ekram Abd Ali, Ahmed Salam Razzaq, Qays Hatem Imran, Said Broumi. On Neutrosophic D –Topological Spaces. Journal of International Journal of Neutrosophic Science, (2023); 22 ( 3 ): 08-14 (Doi   :  https://doi.org/10.54216/IJNS.220301)
IEEE Amer Khrija Abed, Ekram Abd Ali, Ahmed Salam Razzaq, Qays Hatem Imran, Said Broumi, On Neutrosophic D –Topological Spaces, Journal of International Journal of Neutrosophic Science, Vol. 22 , No. 3 , (2023) : 08-14 (Doi   :  https://doi.org/10.54216/IJNS.220301)
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