1 Affiliation : Department of Mathematics, Don Bosco College of Arts and Science, KeelaEral, Thoothukudi-628 908, Tamil Nadu, India
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2 Affiliation : Department of Mathematics, G. Venkataswamy Naidu College, Kovilpatti-628 502, Tamil Nadu, India
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3 Affiliation : Assistant Professor, Department of Mathematics, Patrician College of Arts and Science, Chennai -600 020, Tamil Nadu, India
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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.
N g#− closed set; N g#− Open sets; N g#− open mapping; quasi N g#− open mapping; quasi N g#− closed mapping.
 Atanassov K. T., Intuitionistic fuzzy sets, Fuzzy Sets and Systems,1986, 20, 87-96.
 Chang C. L., Fuzzy topological spaces, J.Math.Anal.Appl., 24,1968, 182- 190.
 Dhavaseelan R. and Jafari S., Generalized Neutrosophic closed sets, New trends in Neutrosophic theory and applications. 2018, 2, 261-273.
 Floretin Smarandache, Neutrosophic Set:- A Generalization of Intuitionistic Fuzzy set, Journal of De-fense Resources Management, 2010, 1, 107–116.
 Jayanthi D., On α Generalized closed sets in Neutrosophic topological spaces, International Conference on Recent Trends in Mathematics and Information Technology, 2018, 88-91.
 N.Levine, Generalized closed set in topology, Rend.Circ.Mat Palermo, (1970), 19, 89-96.
 Pious Missier S., Babisha Julit R. L., On Neutrosophic generalized closed sets, Punjab University Journal of Mathematics (under review)
 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
 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.
 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.
 Salama A. A. and Alblowi S. A., Neutrosophic set and Neutrosophic topological spaces, IOSR Jour. of Mathematics, 2012, 31-35.
 Salama A. A., Florentin Smarandache and Valeri Kroumov, Neutrosophic Closed set and Neutrosophic Continuous Function, Neutrosophic Sets and Systems, 2014, 4, 4–8.
 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.
 Zadeh L. A., Fuzzy sets, Information and control, 1965, 8, 338-353.