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International Journal of Neutrosophic Science
Volume 18 , Issue 4, PP: 183-191 , 2022 | Cite this article as | XML | Html |PDF

Title

On (βρn)-OS in Pythagorean Neutrosophic Topological Spaces

  P. Basker 1 * ,   Broumi Said 2

1  Department of Mathematics, Chandigarh University, Punjab-140413, India.
    (mcpdbasker@gmail.com)

2  Regional Center for the Professions of Education and Training,Casablanca-Settat, Morocco.
    (broumisaid78@gmail.com)


Doi   :   https://doi.org/10.54216/IJNS.180417

Received: March 15, 2022 Accepted: June 27, 2022

Abstract :

In this paper, we introduce a new set called Pythagorean neutrosophic beta-open set with this concept, and

we introduce interior and closure of Pythagorean neutrosophic beta-open set in a Pythagorean neutrosophic

topological spaces by utilizing beta-open set and we introduce the chii, ii, iiibeta-spaces and di, ii, iiibetaspaces

from the pair of distinct points and we have derived the necessary and sufficient conditions by utilizing

beta-open sets. We also go through some containment relations for interiors and closures of beta-open sets and

studied some of their characteristics.

Keywords :

Pythagorean neutrosophic beta-open set; interior of beta-open; closure of beta-open; chii; ii;

iiibeta-spaces; di; ii; iiibeta-spaces.

References :

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[2] K. Atannasov, Intuitionistic fuzzy sets, Springer Physica-Verlag, Heidelberg, 1999

[3] P. Basker, Broumi Said, Nψ#0

α and Nψ#1

α -spaces in Neutrosophic Topological Spaces, International

Journal of Neutrosophic Science 16(1), pp. 09-15, 2021

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Neutrosophic Topological Spaces, Neutrosophic Sets and Systems 43, pp. 12-23, 2021

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190, 1968

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Bulletin of the International Mathematical Virtual Institute 11(2), pp. 295-306, 2021

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probability, American Research Press, Rehoboth, NM, 1999

[9] T. Sneha and F. Nirmala, Pythagorean neutrosophic b-open and semi-open sets in Pythagorean neutron

sophic topological spaces, Infokara Research 9(1), pp. 860-872, 2020

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[12] L. A. Zadeh, Fuzzy sets, Information and Control 8, pp. 338-353, 1965


Cite this Article as :
Style #
MLA P. Basker, Broumi Said. "On (βρn)-OS in Pythagorean Neutrosophic Topological Spaces." International Journal of Neutrosophic Science, Vol. 18, No. 4, 2022 ,PP. 183-191 (Doi   :  https://doi.org/10.54216/IJNS.180417)
APA P. Basker, Broumi Said. (2022). On (βρn)-OS in Pythagorean Neutrosophic Topological Spaces. Journal of International Journal of Neutrosophic Science, 18 ( 4 ), 183-191 (Doi   :  https://doi.org/10.54216/IJNS.180417)
Chicago P. Basker, Broumi Said. "On (βρn)-OS in Pythagorean Neutrosophic Topological Spaces." Journal of International Journal of Neutrosophic Science, 18 no. 4 (2022): 183-191 (Doi   :  https://doi.org/10.54216/IJNS.180417)
Harvard P. Basker, Broumi Said. (2022). On (βρn)-OS in Pythagorean Neutrosophic Topological Spaces. Journal of International Journal of Neutrosophic Science, 18 ( 4 ), 183-191 (Doi   :  https://doi.org/10.54216/IJNS.180417)
Vancouver P. Basker, Broumi Said. On (βρn)-OS in Pythagorean Neutrosophic Topological Spaces. Journal of International Journal of Neutrosophic Science, (2022); 18 ( 4 ): 183-191 (Doi   :  https://doi.org/10.54216/IJNS.180417)
IEEE P. Basker, Broumi Said, On (βρn)-OS in Pythagorean Neutrosophic Topological Spaces, Journal of International Journal of Neutrosophic Science, Vol. 18 , No. 4 , (2022) : 183-191 (Doi   :  https://doi.org/10.54216/IJNS.180417)