ASPG Menu
search

American Scientific Publishing Group

verified Journal

International Journal of Neutrosophic Science

ISSN
Online: 2690-6805 Print: 2692-6148
Frequency

Continuous publication

Publication Model

Open access journal. All articles are freely available online with no APC.

International Journal of Neutrosophic Science
Full Length Article

Volume 18Issue 4PP: 183-191 • 2022

On (βρn)-OS in Pythagorean Neutrosophic Topological Spaces

P. Basker 1* ,
broumi said 2
1Department of Mathematics, Chandigarh University, Punjab-140413, India.
2Regional Center for the Professions of Education and Training,Casablanca-Settat, Morocco.
* Corresponding Author.
verified

Open Access & Copyright

© 2022 The Author(s). Published by ASPG. This article is licensed under the Creative Commons Attribution 4.0 International License (CC BY 4.0).

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

[1] K. Atannasov, Intuitionistic fuzzy sets, Fuzzy sets and Systems 20(1), pp. 87-96, 1965

[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

[4] Carlos Granados and Alok Dhital, New Results On Pythagorean Neutrosophic Open Sets in Pythagorean

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

[5] C. Chang, Fuzzy topological spaces, Journal of Mathematical Analysis and Applications 24(1), pp. 182-

190, 1968

[6] C. Granados, Pythagorean neutrosophic semi-open sets in Pythagorean neutrosophic Pythagorean spaces,

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

[7] C. Granados, Pythagorean Neutrosophic Pre-Open Sets, MathLAB Journal 6, pp. 65-74, 2020

[8] F. Smarandache, A unifying field in logics: Neutrosophic Logic. Neutrosophy, Neutrosophic set, Neutrosophic

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

[10] Pao Ming, Ying-Ming, Fuzzy topology I Neighborhood structure of a fuzzy point and Moore-Smith

convergence, Journal of Mathematical Analysis and Applications 76, pp. 571-599, 1980

[11] R. Yager and A. Abbasov, Pythagorean membership grades, complex numbers and decision making,

International Journal of Intelligence Systems 28, pp. 436-452, 2013

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

Cite This Article

Choose your preferred format

format_quote
Basker, P., said, broumi. "On (βρn)-OS in Pythagorean Neutrosophic Topological Spaces." International Journal of Neutrosophic Science, vol. Volume 18, no. Issue 4, 2022, pp. 183-191. DOI: https://doi.org/10.54216/IJNS.180417
Basker, P., said, b. (2022). On (βρn)-OS in Pythagorean Neutrosophic Topological Spaces. International Journal of Neutrosophic Science, Volume 18(Issue 4), 183-191. DOI: https://doi.org/10.54216/IJNS.180417
Basker, P., said, broumi. "On (βρn)-OS in Pythagorean Neutrosophic Topological Spaces." International Journal of Neutrosophic Science Volume 18, no. Issue 4 (2022): 183-191. DOI: https://doi.org/10.54216/IJNS.180417
Basker, P., said, b. (2022) 'On (βρn)-OS in Pythagorean Neutrosophic Topological Spaces', International Journal of Neutrosophic Science, Volume 18(Issue 4), pp. 183-191. DOI: https://doi.org/10.54216/IJNS.180417
Basker P, said b. On (βρn)-OS in Pythagorean Neutrosophic Topological Spaces. International Journal of Neutrosophic Science. 2022;Volume 18(Issue 4):183-191. DOI: https://doi.org/10.54216/IJNS.180417
P. Basker, b. said, "On (βρn)-OS in Pythagorean Neutrosophic Topological Spaces," International Journal of Neutrosophic Science, vol. Volume 18, no. Issue 4, pp. 183-191, 2022. DOI: https://doi.org/10.54216/IJNS.180417
policy

Publisher's Note

The statements, opinions, and data presented in this article are solely those of the author(s) and do not necessarily represent those of ASPG, the journal, or its editors. ASPG and the editors disclaim responsibility for any harm arising from the use of any ideas, methods, instructions, or products described in this article, to the fullest extent permitted by applicable law.

Digital Archive Ready