On Slightly Ng#− Continuous Functions in
Neutrosophic Topological Space

Babisha Julit R L; Pious Missier S

doi:https://doi.org/10.14445/22315373/IJMTT-V68I2P510

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 68 | Issue 2 | Year 2022 | Article Id. IJMTT-V68I2P510 | DOI : https://doi.org/10.14445/22315373/IJMTT-V68I2P510

On Slightly Ng#− Continuous Functions in Neutrosophic Topological Space

Babisha Julit R L, Pious Missier S

Abstract

In this article, we present and study a new class of Neutrosophic functions namely, slightly Neutrosophic g#− continuous functions. Moreover, we discuss its relationship with some other related functions.

Keywords

Ng#− closed set, Ng#− open set, Ng#− continuous function, Ng#− contra continuous function, slightly Ng#− continuous function.

References

[1] S. Anitha, K .Mohana, Florentin Samarandache, On Ngsr Closed Sets in Neutrosophic Topological Spaces, Neutrosophic Sets and Systems, 28. (2019) 171- 177.
[2] K. T. Atanassov, Intuitionistic Fuzzy Sets, Fuzzy Sets and Systems, 20 (1986) 87-96.
[3] C. L. Chang, Fuzzy Topological Spaces, J.Math.Anal.Appl., 24 (1968) 182- 190.
[4] R. Dhavaseelan and S. Jafari, Generalized Neutrosophic Closed Sets, New Trends in Neutrosophic Theory and Applications, 2 (2018) 261-273.
[5] R. Dhavaseelan And S. Jafari, C. Ozel and M. A. Al-Shumrani Generalized Neutrosophic Contracontinuous, New Trends in Neutrosophic Theory and Applications, 2 (2017) 355-370.
[6] R.Dhavaseelan, S. Jafari and Md. Hanif Page,Neutrosophic Generalized Α− Contracontinuity,Creat. Math. Inform. 20(2) (2011) 1-6.
[7] Dogan Coker, An Introduction to Intuitionistic Fuzzy Topological Spaces, Fuzzy Sets and Systems, 88 ( 1) (1997) 81-89.
[8] Floretin Smarandache, Neutrosophic Set:- A Generalization of Intuitionistiic Fuzzy Set, Journal of Defense Resourses Management, 1 (2010) 107–116.
[9] D. Jayanthi, On a Generalized Closed Sets in Neutrosophic Topological Spaces, International Conference on Recent Trends in Mathematics And Information Technology, (2018) 88-91.
[10] N.Levine, Generalized Closed Set In Topology, Rend.Circ.Mat Palermo,19 (1970) 89-96.
[11] S. Pious Missier, R.L. Babisha Julit , On Neutrosophic Generalized Closed Sets, Punjab University Journal of Mathematics (Submited)
[12] S. Pious Missier, R.L. Babisha Julit , On Neurtosophic G# Continuous Functions and Neurtosophic G#− Irresolute Functions,Abstract Proceedings of 24th Fai-Icdbsmd. 6(1) (2021) 49.
[13] S. Pious Missier, R.L. Babisha Julit , On Ng#− Contra Continuous Functions in Neutrosophic Topological Space, Design Engineering, 6 (2021) 8606-8614.
[14] S. Pious Missier, R.L. Babisha Julit, New Type of Continuous Functions on Neutrosophic Topological Space. (Submitted)
[15] S. Pious Missier, R.L. Babisha Julit , J. Martina Jency, Ng#− Homeomorphism in Neutrosophic Topological Space, International Journal of Mechanical Engineering, 6(3) (2021) 2801- 2805.
[16] S. Pious Missier, R.L. Babisha Julit , J. Martina Jency, on Totally Ng#− Continuous Functions in Neutrosophic Topological Space, Iosr-Jm, 18(1) (2022) 64-68.
[17] S. Pious Missier, R.L. Babisha Julit ,On Ng#− Interior And Ng#− Closure in Neutrosophic Topological Space, Proc. Ncagt, (2021)122- 133.
[18] Salama A. A. and Alblowi S. A., Neutrosophic Set and Neutrosophic Topological Spaces, Iosr Jour. Of Mathematics, (2012) 31-35.
[19] Salama A. A., Florentin Smarandache and Valeri Kroumov, Neutrosophic Closed Set and Neutrosophic Continuous Function, Neutrosophic Sets and Systems, 4 (2014) 4–8.
[20] Wadei Al-Omeri and Saeid Jafari, On Generalized Closed Sets and Generalized Pre-Closed in Neutrosophic Topological Spaces, Mathematics Mdpi, 7 (2018)01-12.
[21] Zadeh L. A., Fuzzy Sets, Information and Control, 8 (1965) 338-353.

Citation :

Babisha Julit R L, Pious Missier S, "On Slightly Ng#− Continuous Functions in Neutrosophic Topological Space," International Journal of Mathematics Trends and Technology (IJMTT), vol. 68, no. 2, pp. 61-65, 2022. Crossref, https://doi.org/10.14445/22315373/IJMTT-V68I2P510