131 75
Full Length Article
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

Authors Names :   A. Vadivel   1 *     C. John Sundar   2  

1  Affiliation :  PG and Research Department of Mathematics, Government Arts College (Autonomous), India

    Email :  avmaths@gmail.com


2  Affiliation :  Department of Mathematics, Annamalai University, Annamalai Nagar, India

    Email :   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.

[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.


Cite this Article as :
A. Vadivel , C. John Sundar, Nncγ Maps in Nnc-Topological Spaces, International Journal of Neutrosophic Science, Vol. 18 , No. 3 , (2022) : 30-40 (Doi   :  https://doi.org/10.54216/IJNS.180302)