Volume 13 , Issue 2 , PP: 61-65, 2021 | Cite this article as | XML | PDF | Full Length Article
R.Narmada Devi 1
Doi: https://doi.org/10.54216/IJNS.130202
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-α-local T2 space, neutrosophic Gδ-α-local Urysohn space, neutrosophic Gδ-α-local connected space, and neutrosophic Gδ-α-local compact space are discussed and some interesting properties are established.
NG_&delta , , set, , NG&delta , -&alpha , -lcs, N &epsilon , G&delta , -&alpha , -lqnbd, N G&delta , -&alpha , -lcf, NG&delta , -&alpha , -local T2 , space, NG_&delta , -&alpha , -local Urysohn space, NG&delta , -&alpha , -local connected space and NG&delta , -&alpha , -local compact space.
[1] K.T.Atanassov, Intuitionistic Fuzzy Sets, Fuzzy Sets and Systems, 20, pp.87–96,1986.
[2] G.Balasubramanian, Maximal Fuzzy Topologies, KYBERNETIKA, 31,pp.459–465,1995.
[3] D.Coker, An Introduction to Intuitionistic Fuzzy Topological Spaces,Fuzzy Sets and Systems, 88,no.1,pp.81–89,1997.
[4] D.Coker and M.Demirci, On Intuitionistic Fuzzy Points, Notes IFS 1,no.2, pp.79–84,1995.
[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
