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International Journal of Neutrosophic Science
Volume 18 , Issue 3, PP: 41-47 , 2022 | Cite this article as | XML | Html |PDF

Title

On Quasi Ng#− Open and Quasi Ng#− Closed Mappings in Neutrosophic Topological Spaces

Authors Names :   Pious Missier S   1 *     Babisha Julit R   2     Martina Jency   3  

1  Affiliation :  Department of Mathematics, Don Bosco College of Arts and Science, KeelaEral, Thoothukudi-628 908, Tamil Nadu, India

    Email :  spmissier@gmail.com


2  Affiliation :  Department of Mathematics, G. Venkataswamy Naidu College, Kovilpatti-628 502, Tamil Nadu, India

    Email :  babishajulitrl@gvncollege.edu.in


3  Affiliation :  Assistant Professor, Department of Mathematics, Partician College of Arts and Science, Chennai -600 020, Tamil Nadu, India

    Email :  martinajency@gmail.com



Doi   :   https://doi.org/10.54216/IJNS.180303

Received: January 16, 2022 Accepted: April 09, 2022

Abstract :

The aim of this article is to investigate a new kind of Neutrosophic open and closed mappings called quasi N g#− Open and quasi N g#− closed mappings and analyse their characterizations in Neutrosophic topolog-ical spaces with necessary examples.

Keywords :

N g#− closed set; N g#− Open sets; N g#− open mapping; quasi N g#− open mapping; quasi N g#− closed mapping.

References :

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

[2] Chang C. L., Fuzzy topological spaces, J.Math.Anal.Appl., 24,1968, 182- 190.

[3] Dhavaseelan R. and Jafari S., Generalized Neutrosophic closed sets, New trends in Neutrosophic theory and applications. 2018, 2, 261-273.

[4] Floretin Smarandache, Neutrosophic Set:- A Generalization of Intuitionistic Fuzzy set, Journal of De-fense Resources Management, 2010, 1, 107–116.

[5] Jayanthi D., On α Generalized closed sets in Neutrosophic topological spaces, International Conference on Recent Trends in Mathematics and Information Technology, 2018, 88-91.

[6] N.Levine, Generalized closed set in topology, Rend.Circ.Mat Palermo, (1970), 19, 89-96.

[7] Pious Missier S., Babisha Julit R. L., On Neutrosophic generalized closed sets, Punjab University Journal of Mathematics (under review)

[8] Pious Missier S., Babisha Julit R. L., On Neurtosophic g#− Continuous Functions and Neurtosophic g#− Irresolute Functions, Abstract Proceedings of 24th FAI-ICDBSMD 2021, Vol. 6(i), 49

[9] Pious Missier S., Babisha Julit R. L., Martina Jency J., On N g#− Closed Mapping in Neutrosophic Topological Space, National Conference on “Contemporary Mathematics and Applications” 2021.

[10] Pious Missier S., Babisha Julit R. L., On N g#− Interior and N g#− Closure in Neutrosophic Topological Space,Conference Proceedings of NCAGT- 2021, 122- 133.

[11] Salama A. A. and Alblowi S. A., Neutrosophic set and Neutrosophic topological spaces, IOSR Jour. of Mathematics, 2012, 31-35.

[12] Salama A. A., Florentin Smarandache and Valeri Kroumov, Neutrosophic Closed set and Neutrosophic Continuous Function, Neutrosophic Sets and Systems, 2014, 4, 4–8.

[13] Wadei Al-Omeri and Saeid Jafari, On Generalized Closed Sets and Generalized Pre-Closed in Neutro-sophic Topological Spaces, Mathematics MDPI, 2018, 7, 01-12.

[14] Zadeh L. A., Fuzzy sets, Information and control, 1965, 8, 338-353.


Cite this Article as :
Pious Missier S , Babisha Julit R , Martina Jency, On Quasi Ng#− Open and Quasi Ng#− Closed Mappings in Neutrosophic Topological Spaces, International Journal of Neutrosophic Science, Vol. 18 , No. 3 , (2022) : 41-47 (Doi   :  https://doi.org/10.54216/IJNS.180303)