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International Journal of Neutrosophic Science
Volume 16 , Issue 1, PP: 09-15 , 2021 | Cite this article as | XML | Html |PDF

Title

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

  P. Basker 1 * ,   Broumi Said 2

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

2  Laboratory of Information Processing, Faculty of Science Ben M’Sik, University Hassan II, Casablanca, Morocco
    (broumisaid78@gmail.com)


Doi   :   https://doi.org/10.54216/IJNS.160101

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# (n1 ) , CLN α({n1}) , Nα-open sets , Nψα# 0-space and Nψα# 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 as :
Style #
MLA P. Basker, Broumi Said. "Nψ#0 α and Nψ#1 α-spaces in Neutrosophic Topological Spaces." International Journal of Neutrosophic Science, Vol. 16, No. 1, 2021 ,PP. 09-15 (Doi   :  https://doi.org/10.54216/IJNS.160101)
APA P. Basker, Broumi Said. (2021). Nψ#0 α and Nψ#1 α-spaces in Neutrosophic Topological Spaces. Journal of International Journal of Neutrosophic Science, 16 ( 1 ), 09-15 (Doi   :  https://doi.org/10.54216/IJNS.160101)
Chicago P. Basker, Broumi Said. "Nψ#0 α and Nψ#1 α-spaces in Neutrosophic Topological Spaces." Journal of International Journal of Neutrosophic Science, 16 no. 1 (2021): 09-15 (Doi   :  https://doi.org/10.54216/IJNS.160101)
Harvard P. Basker, Broumi Said. (2021). Nψ#0 α and Nψ#1 α-spaces in Neutrosophic Topological Spaces. Journal of International Journal of Neutrosophic Science, 16 ( 1 ), 09-15 (Doi   :  https://doi.org/10.54216/IJNS.160101)
Vancouver P. Basker, Broumi Said. Nψ#0 α and Nψ#1 α-spaces in Neutrosophic Topological Spaces. Journal of International Journal of Neutrosophic Science, (2021); 16 ( 1 ): 09-15 (Doi   :  https://doi.org/10.54216/IJNS.160101)
IEEE P. Basker, Broumi Said, Nψ#0 α and Nψ#1 α-spaces in Neutrosophic Topological Spaces, Journal of International Journal of Neutrosophic Science, Vol. 16 , No. 1 , (2021) : 09-15 (Doi   :  https://doi.org/10.54216/IJNS.160101)