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International Journal of Neutrosophic Science

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Online: 2690-6805 Print: 2692-6148
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International Journal of Neutrosophic Science
Full Length Article

Volume 16Issue 1PP: 09-15 • 2021

Nψ#0 α and Nψ#1 α-spaces in Neutrosophic Topological Spaces

P. Basker 1* ,
broumi said 2
1Associate Professor, Department of Mathematics, Chandigarh University, Punjab-140413, India
2Laboratory of Information Processing, Faculty of Science Ben M’Sik, University Hassan II, Casablanca, Morocco
* Corresponding Author.
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Open Access & Copyright

© 2021 The Author(s). Published by ASPG. This article is licensed under the Creative Commons Attribution 4.0 International License (CC BY 4.0).

Received: May 11, 2021 Accepted: October 12, 2021

Abstract

In this paper, we have introduced the concept of nk# (n1 ) by using CLN α({n1}) where n1 N via Nα-open sets. Also we have introduced the spaces called Nψα# 0-space and Nψα# 1-space.

Keywords

nk#N&alpha &nbsp (n1&nbsp ) CLN &alpha ({n1}) N&alpha -open sets N&psi &alpha # 0-space and N&psi &alpha # 1-space

References

[1] I.Arokiarani.I, R. Dhavaseelan, S. Jafari and M. Parimala, On Some New Notions and Functions in Neutrosophic Topological Spaces, Neutrosophic Sets and Systems 16, pp. 16-19, 2017

[2] K. Atanassov, Intuitionistic fuzzy sets, Fuzzy Sets and Systems 20, pp. 87-96, 1986

[3] Broumi Said and Florentin Smarandache, Intuitionistic Neutrosophic Soft Set, Journal of Information andComputing Science 8(2), pp.130-140, 2013

[4] C. L. Chang, Fuzzy topological spaces, Journal of Mathematical Analysis and Applications 24, pp. 182-190, 1968

[5] D. Coker, An introduction to intuitionistic fuzzy topological spaces, Fuzzy Sets and Systems 88(1), pp.81-89, 1997

[6] D. Nagarajan, S. Broumi, F. Smarandache, and J. Kavikumar, Analysis of Neutrosophic Multiple Regression. Neutrosophic Sets and Systems 43, pp. 44-53, 2021

[7] A. A. Salama and S. A. Alblowi, Neutrosophic set and Neutrosophic topological spaces, IOSR Journal ofMathematics 3(4), pp. 31-35, 2012

[8] F. Smarandache, A unifying field in logics: Neutrosophic Logic. Neutrosophy, Neutrosophic set, Neutrosophic probability, American Research Press, Rehoboth, NM, 1999

[9] F. Smarandache, Neutrosophy and Neutrosophic logic. In:F. Smarandache(Ed.), Neutrosophy, neutrosophiclogic, set, probability and statistics Proceeding of the International Conference, University of New Mexico, Gallup, NM 87301, USA, 2002

[10] Smarandache, Florentin, Said Broumi, Mamoni Dhar and Pinaki Majumdar, New Results of IntuitionisticFuzzy Soft Set, International Journal of Information Engineering and Electronic Business, pp. 1-6, 2014

[11] A. Vadivel1, C. John Sundar, Neutrosophic δ-Open Maps and Neutrosophic δ-Closed Maps, InternationalJournal of Neutrosophic Science 13(2), pp. 66-74, 2021

[12] Wadel Faris Al-omeri and Florentin Smarandache, New Neutrosophic Sets via Neutrosophic TopologicalSpaces, New Trends in Neutrosophic Theory and Applications 2, pp. 1-7, 2016

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

Cite This Article

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format_quote
Basker, P., said, broumi. "Nψ#0 α and Nψ#1 α-spaces in Neutrosophic Topological Spaces." International Journal of Neutrosophic Science, vol. Volume 16, no. Issue 1, 2021, pp. 09-15. DOI: https://doi.org/10.54216/IJNS.160101
Basker, P., said, b. (2021). Nψ#0 α and Nψ#1 α-spaces in Neutrosophic Topological Spaces. International Journal of Neutrosophic Science, Volume 16(Issue 1), 09-15. DOI: https://doi.org/10.54216/IJNS.160101
Basker, P., said, broumi. "Nψ#0 α and Nψ#1 α-spaces in Neutrosophic Topological Spaces." International Journal of Neutrosophic Science Volume 16, no. Issue 1 (2021): 09-15. DOI: https://doi.org/10.54216/IJNS.160101
Basker, P., said, b. (2021) 'Nψ#0 α and Nψ#1 α-spaces in Neutrosophic Topological Spaces', International Journal of Neutrosophic Science, Volume 16(Issue 1), pp. 09-15. DOI: https://doi.org/10.54216/IJNS.160101
Basker P, said b. Nψ#0 α and Nψ#1 α-spaces in Neutrosophic Topological Spaces. International Journal of Neutrosophic Science. 2021;Volume 16(Issue 1):09-15. DOI: https://doi.org/10.54216/IJNS.160101
P. Basker, b. said, "Nψ#0 α and Nψ#1 α-spaces in Neutrosophic Topological Spaces," International Journal of Neutrosophic Science, vol. Volume 16, no. Issue 1, pp. 09-15, 2021. DOI: https://doi.org/10.54216/IJNS.160101
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