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International Journal of Neutrosophic Science
Volume 23 , Issue 4, PP: 154-159 , 2024 | Cite this article as | XML | Html |PDF

Title

Stable Neutrosophic Crisp Topological Space

  Doaa Nihad Tomma 1 * ,   L. A. A. Al-Swidi 2

1  University of Babylon, College of Education for Pure Sciences, Department of Mathematics, Iraq
    (doaa.tuama.pure526@student.uobabylon.edu.iq)

2  University of Babylon, College of Education for Pure Sciences, Department of Mathematics, Iraq
    (pure.leal.abd@uobabylon.edu.iq)


Doi   :   https://doi.org/10.54216/IJNS.230411

Received: June 19, 2023 Revised: January 09, 2024 Accepted: March 04, 2024

Abstract :

The significance and influence of neutrosophic crisp set theory in numerous scientific domains, particularly topology, led us to construct a new definition of topology based on neutrosophic crisp sets, allowing us to regulate its key mathematical ideas. Therefore, we constructed this definition and dubbed it stable neutrosophic crisp topology, where we went over the key idea which is the interior with the vital features.

Keywords :

Neutrosophic crisp set; stable neutrosophic topological space; stable neutrosophic crisp open set; stable interior neutrosophic.

References :

[1] Smarandache, F. (1999). A unifying field in Logics: Neutrosophic Logic. In Philosophy (pp. 1-141). American Research Press.

[2] Smarandache, F. (2006, May). Neutrosophic set-a generalization of the intuitionistic fuzzy set. In 2006 IEEE international conference on granular computing (pp. 38-42). IEEE.

[3] AL-Nafee, A. B., Broumi, S., & Al-Swidi, L. A. (2021). n-Valued refined neutrosophic crisp sets. International Journal of Neutrosophic Science (IJNS), 17

[4] Hadi, M. H., & Al-Swidi, L. A. A. (2022). The Neutrosophic Axial Set theory. Neutrosophic Sets and Systems, vol. 51/2022: An International Journal in Information Science and Engineering, 295.

[5] Al-Obaidi, A. H. M., Imran, Q. H., & Abdulkadhim, M. M. (2022). On new types of weakly neutrosophic crisp closed functions. Neutrosophic Sets and Systems, 50, 239-247.

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[8] Abdulkadhim, M. M., Imran, Q. H., Al-Obaidi, A. H., & Broumi, S. (2022). On neutrosophic crisp generalized alpha generalized closed sets. International Journal of Neutrosophic Science, 19(1), 107-115.

[9] Salama, A. A., Smarandache, F., & Kroumov, V. (2014). Neutrosophic crisp sets & neutrosophic crisp topological spaces. Infinite Study.

[10] Al-Hamido, R. K. (2020). A new approach of neutrosophic topological space. International Journal of neutrosophic Science, 7, 55-61.

[11] Salama, A. A., Hanafy, I. M., Elghawalby, H., & Dabash, M. S. (2016). Neutrosophic Crisp α-Topological Spaces. Neutrosophic Sets and Systems, 12, 92-96.

[12] AL-Nafee, A. B., Al-Hamido, R. K., & Smarandache, F. (2019). Separation axioms in neutrosophic crisp topological spaces. Infinite Study.

[13] Almohammed, R. (2020). New Concepts of Fuzzy Local Function: Types of fuzzy local function. Baghdad Science Journal, 17(2), 0515-0515.

[14] BABU, V. A., & RAJASEKHAR, P. (2021). NEUTROSOPHIC CRISP SUPRA SEMI-α LOCALLY CLOSED SETS.

[15] Karatas, S., & Kuru, C. (2016). Neutrosophic topology. Neutrosophic sets and systems, 13(1), 90-95.

[16] Al-Hamido, R. K. (2018). Neutrosophic crisp bi-topological spaces. Neutrosophic Sets and Systems, 21, 66-73.

[17] A.A.Salama and F.Smarandache, Neutrosophic crisp set theory, Neutrosophic Sets and Systems 2014, 5, 27–35.

[18] A.A.Salama, F.Smarandache, Neutrosophic Crisp Set Theory; Educational Publisher: Columbus, 2015.


Cite this Article as :
Style #
MLA Doaa Nihad Tomma , L. A. A. Al-Swidi. "Stable Neutrosophic Crisp Topological Space." International Journal of Neutrosophic Science, Vol. 23, No. 4, 2024 ,PP. 154-159 (Doi   :  https://doi.org/10.54216/IJNS.230411)
APA Doaa Nihad Tomma , L. A. A. Al-Swidi. (2024). Stable Neutrosophic Crisp Topological Space. Journal of International Journal of Neutrosophic Science, 23 ( 4 ), 154-159 (Doi   :  https://doi.org/10.54216/IJNS.230411)
Chicago Doaa Nihad Tomma , L. A. A. Al-Swidi. "Stable Neutrosophic Crisp Topological Space." Journal of International Journal of Neutrosophic Science, 23 no. 4 (2024): 154-159 (Doi   :  https://doi.org/10.54216/IJNS.230411)
Harvard Doaa Nihad Tomma , L. A. A. Al-Swidi. (2024). Stable Neutrosophic Crisp Topological Space. Journal of International Journal of Neutrosophic Science, 23 ( 4 ), 154-159 (Doi   :  https://doi.org/10.54216/IJNS.230411)
Vancouver Doaa Nihad Tomma , L. A. A. Al-Swidi. Stable Neutrosophic Crisp Topological Space. Journal of International Journal of Neutrosophic Science, (2024); 23 ( 4 ): 154-159 (Doi   :  https://doi.org/10.54216/IJNS.230411)
IEEE Doaa Nihad Tomma, L. A. A. Al-Swidi, Stable Neutrosophic Crisp Topological Space, Journal of International Journal of Neutrosophic Science, Vol. 23 , No. 4 , (2024) : 154-159 (Doi   :  https://doi.org/10.54216/IJNS.230411)