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International Journal of Neutrosophic Science
Volume 18 , Issue 3, PP: 30-40 , 2022 | Cite this article as | XML | Html |PDF

Title

Nncγ Maps in Nnc-Topological Spaces

  A. Vadivel 1 * ,   C. John Sundar 2

1  PG and Research Department of Mathematics, Government Arts College (Autonomous), India
    (avmaths@gmail.com)

2  Department of Mathematics, Annamalai University, Annamalai Nagar, India
    ( johnphdau@hotmail.com)


Doi   :   https://doi.org/10.54216/IJNS.180302

Received: January 13, 2022 Accepted: April 07, 2022

Abstract :

In this article, the concept of N-neutrosophic crisp γ-open and N-neutrosophic crisp γ-closed mappings in N-neutrosophic crisp topological spaces are introduced and studied some of their related properties. Also, Nneutrosophic crisp γ irresolute mapping is introduced in N-neutrosophic crisp topological spaces. Further, it is extended to N-neutrosophic crisp γ-homeomorphism, N-neutrosophic crisp γ-Completely homeomorphism and N-neutrosophic crisp γT1/2-space in N-neutrosophic crisp topological spaces and establishes some of their related properties. Finally, Strongly N-neutrosophic crisp γ continuous and Perfectly N-neutrosophic crisp γ continuous functions is also discuss.

Keywords :

NncγO map , NncγC map; NncγT1/2-space , Nncγ-homeomorphism;  Nncγ-Completely homeomorphism; StNncγCts; PeNncγCts 

References :

[1] R. K. Al-Hamido, T. Gharibah, S. Jafari and F. Smarandache, “On neutrosophic crisp topology via N-topology”, Neutrosophic Sets and Systems, Vol 23, pp 96-109, 2018.

[2] W. Al-Omeri, “Neutrosophic crisp sets via neutrosophic crisp topological spaces”, Neutrosophic Sets System, Vol 13, pp 96–104, 2016.

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[5] A. A. Salama, F. Smarandache and V. Kroumov, “Neutrosophic crisp sets and neutrosophic crisp topo-logical spaces”, Neutrosophic Sets and Systems, Vol 2, pp 25-30, 2014.

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[8] F. Smarandache, “Neutrosophy and neutrosophic logic”, First International Conference on Neutrosophy, Neutrosophic Logic, Set, Probability, and Statistics, University of New Mexico, Gallup, NM 87301, USA, 2002.

[9] M. L. Thivagar, S. Jafari, V. Antonysamy and V. Sutha Devi, “The ingenuity of neutrosophic topology via N-topology”, Neutrosophic Sets and Systems, Vol 19, pp 91-100, 2018.

[10] A. Vadivel and C. John Sundar, “γ-open sets in Nnc-topological spaces”, Advances in Mathematics: Scientific Journal, Vol 9 (4), pp 2197-2202, 2020.

[11] A. Vadivel and C. John Sundar, “γ-continuous function in Nnc-topological spaces”, Communicated.

[12] A. Vadivel and C. John Sundar, “On Almost γ-Continuous Functions in N-Neutrosophic Crisp Topolog-ical Spaces”, Accepted in Palestine Journal of Mathematics.

[13] A. Vadivel, Mohanarao Nauvluri and P. Thangaraja, “Completely Nnc e(weakly Nnc e)-irresolute func-tions via Nnc e-open sets”, J. Phys. Conf. Ser., 1724, 012010, 2021.


Cite this Article as :
Style #
MLA A. Vadivel, C. John Sundar. "Nncγ Maps in Nnc-Topological Spaces." International Journal of Neutrosophic Science, Vol. 18, No. 3, 2022 ,PP. 30-40 (Doi   :  https://doi.org/10.54216/IJNS.180302)
APA A. Vadivel, C. John Sundar. (2022). Nncγ Maps in Nnc-Topological Spaces. Journal of International Journal of Neutrosophic Science, 18 ( 3 ), 30-40 (Doi   :  https://doi.org/10.54216/IJNS.180302)
Chicago A. Vadivel, C. John Sundar. "Nncγ Maps in Nnc-Topological Spaces." Journal of International Journal of Neutrosophic Science, 18 no. 3 (2022): 30-40 (Doi   :  https://doi.org/10.54216/IJNS.180302)
Harvard A. Vadivel, C. John Sundar. (2022). Nncγ Maps in Nnc-Topological Spaces. Journal of International Journal of Neutrosophic Science, 18 ( 3 ), 30-40 (Doi   :  https://doi.org/10.54216/IJNS.180302)
Vancouver A. Vadivel, C. John Sundar. Nncγ Maps in Nnc-Topological Spaces. Journal of International Journal of Neutrosophic Science, (2022); 18 ( 3 ): 30-40 (Doi   :  https://doi.org/10.54216/IJNS.180302)
IEEE A. Vadivel, C. John Sundar, Nncγ Maps in Nnc-Topological Spaces, Journal of International Journal of Neutrosophic Science, Vol. 18 , No. 3 , (2022) : 30-40 (Doi   :  https://doi.org/10.54216/IJNS.180302)