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International Journal of Neutrosophic Science

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Online: 2690-6805 Print: 2692-6148
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Continuous publication

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

International Journal of Neutrosophic Science
Full Length Article

Volume 18Issue 3PP: 30-40 • 2022

Nncγ Maps in Nnc-Topological Spaces

A. Vadivel 1* ,
C. John Sundar 2
1PG and Research Department of Mathematics, Government Arts College (Autonomous), India
2Department of Mathematics, Annamalai University, Annamalai Nagar, India
* 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: 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

Nnc&gamma O map Nnc&gamma C map Nnc&gamma T1/2-space Nnc&gamma -homeomorphism &nbsp Nnc&gamma -Completely homeomorphism &nbsp StNnc&gamma Cts PeNnc&gamma Cts&nbsp

References

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

[3] D. Andrijevic, “On b-open sets”, Matematiqki Vesnik, Vol 48, pp 59-64, 1996.

[4] W. K. Min, “γ-sets and γ-continuous functions”, Int. J. Math. Math. Sci., Vol 31 (3), pp 177-181, 2002.

[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.

[6] A. A. Salama and F. Smarandache, “Neutrosophic crisp set theory”, Educational Publisher, Columbus, Ohio, USA, 2015.

[7] F. Smarandache, “A unifying field in logics: neutrosophic logic, neutrosophy, neutrosophic set, neutro-sophic probability”, American Research Press, Rehoboth, NM, 1999.

[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.

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Vadivel, A., Sundar, C. John. "Nncγ Maps in Nnc-Topological Spaces." International Journal of Neutrosophic Science, vol. Volume 18, no. Issue 3, 2022, pp. 30-40. DOI: https://doi.org/10.54216/IJNS.180302
Vadivel, A., Sundar, C. (2022). Nncγ Maps in Nnc-Topological Spaces. International Journal of Neutrosophic Science, Volume 18(Issue 3), 30-40. DOI: https://doi.org/10.54216/IJNS.180302
Vadivel, A., Sundar, C. John. "Nncγ Maps in Nnc-Topological Spaces." International Journal of Neutrosophic Science Volume 18, no. Issue 3 (2022): 30-40. DOI: https://doi.org/10.54216/IJNS.180302
Vadivel, A., Sundar, C. (2022) 'Nncγ Maps in Nnc-Topological Spaces', International Journal of Neutrosophic Science, Volume 18(Issue 3), pp. 30-40. DOI: https://doi.org/10.54216/IJNS.180302
Vadivel A, Sundar C. Nncγ Maps in Nnc-Topological Spaces. International Journal of Neutrosophic Science. 2022;Volume 18(Issue 3):30-40. DOI: https://doi.org/10.54216/IJNS.180302
A. Vadivel, C. Sundar, "Nncγ Maps in Nnc-Topological Spaces," International Journal of Neutrosophic Science, vol. Volume 18, no. Issue 3, pp. 30-40, 2022. DOI: https://doi.org/10.54216/IJNS.180302
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