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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 13Issue 2PP: 61-65 • 2021

Novel Idea of Gδ-α-Locally Continuous Functions

R.Narmada Devi 1*
1Department of Mathematics, Vel Tech Rangarajan Dr. Sagunthala R& D Institute of Science and Technology, Chennai, Tamil Nadu, India
* Corresponding Author.
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Open Access & Copyright

© 2021 The Author(s). Published by ASPG. This article is licensed under the Creative Commons Attribution 4.0 International License (CC BY 4.0).

Received:Septembre 30, 2020 Accepted: January 15, 2021

Abstract

The new concepts of a neutrosophic Gδ set and neutrosophic Gδ-α-locally closed sets are introduced. Also, a neutrosophic εGδ-α-locally quasi neighborhood, neutrosophic Gδ-α-locally continuous function, neutrosophic Gδ-local T2 space, neutrosophic Gδ-α-local Urysohn space, neutrosophic Gδ-α-local connected space, and neutrosophic Gδ-local compact space are discussed and some interesting properties are established.

Keywords

NG_&delta &nbsp set &nbsp NG&delta -&alpha -lcs N &epsilon G&delta -&alpha -lqnbd N G&delta -&alpha -lcf NG&delta -&alpha -local T2&nbsp space NG_&delta -&alpha -local Urysohn space NG&delta -&alpha -local connected space and NG&delta -&alpha -local compact space.

References

 

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[5]   Florentin 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).

 

[6]   M.Ganster and I.L Relly, Locally Closed Sets and LC-Continuous Functions, Internet. J.Math. Math.Sci.,12, pp.417–424, 1989.

 

[7]   R.Narmada Devi, E. Roja and M.K.Uma, On Some Applications of Intuitionistic Fuzzy Gδ-α-locally closed sets,The Journal of Fuzzy Mathematics, 21, No. 2, pp.85–98,2013

 

[8]   R.Narmada Devi, E. Roja and M.K.Uma, Intuitionistic Fuzzy Gdelta-α-locally Continuous Functions,Annals of Fuzzy Mathematics and Informatics, 5, No. 2, pp.399–416, 2013.

 

[9]  R.Narmada Devi, E.Roja and M.K.Uma, Intuitionistic Fuzzy Exterior Spaces Via Rings, Annals of Fuzzzy mathematics and Informatics,6,2,pp.554–559,2014.

 

[10]   R.Narmada Devi, E.Roja and M.K.Uma,Basic Compactness and Extremal Compactness in Intuitionistic Fuzzy Structure Ring Spaces,The Journal of fuzzy Mathematics,23,6,pp.643–660,2015

 

[11]   R.Narmada Devi, Neutrosophic Complex N -continuity,Annals of Fuzzy Mathematics and Informatics,13,1,pp.109–122, 2017.

 

[12]   A. A. Salama and S. A. Alblowi, Neutrosophic Set ans Neutrosophic Topological Spaces,ISOR Journal of Mathematics,3, No.6,pp.31–35, 2012.

 

[13]   L.A.Zadeh, Fuzzy Sets,Infor. and Control, 9, pp.338–353,1965

 

 

 

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Devi, R.Narmada. "Novel Idea of Gδ-α-Locally Continuous Functions." International Journal of Neutrosophic Science, vol. Volume 13, no. Issue 2, 2021, pp. 61-65. DOI: https://doi.org/10.54216/IJNS.130202
Devi, R. (2021). Novel Idea of Gδ-α-Locally Continuous Functions. International Journal of Neutrosophic Science, Volume 13(Issue 2), 61-65. DOI: https://doi.org/10.54216/IJNS.130202
Devi, R.Narmada. "Novel Idea of Gδ-α-Locally Continuous Functions." International Journal of Neutrosophic Science Volume 13, no. Issue 2 (2021): 61-65. DOI: https://doi.org/10.54216/IJNS.130202
Devi, R. (2021) 'Novel Idea of Gδ-α-Locally Continuous Functions', International Journal of Neutrosophic Science, Volume 13(Issue 2), pp. 61-65. DOI: https://doi.org/10.54216/IJNS.130202
Devi R. Novel Idea of Gδ-α-Locally Continuous Functions. International Journal of Neutrosophic Science. 2021;Volume 13(Issue 2):61-65. DOI: https://doi.org/10.54216/IJNS.130202
R. Devi, "Novel Idea of Gδ-α-Locally Continuous Functions," International Journal of Neutrosophic Science, vol. Volume 13, no. Issue 2, pp. 61-65, 2021. DOI: https://doi.org/10.54216/IJNS.130202
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