•
Pre-separation Axioms in Neutrosophic Topological Spaces
Abstract
Keywords
References
[1] Atanassov, K. (1986). Intuitionistic fuzzy sets. Fuzzy Sets and Systems, 20, 87-96.
[2] Arokiarani, I. ; Dhavaseelan, R. ; Jafari, S. ; Parimala, M. (2017). On Some New Notions and Functions in Neutrosophic Topological Space. Neutrosophic Sets and Systems, 16, 16-19. https://doi.org/10.54216/
[3] Arar, M. (2020). About Neutrosophic Countably Compactness. Neutrosophic Sets and Systems, 36(1), 246-255.
[4] Abdel-Basset, M. ; Gamal, A. ; Chakrabortty, R.K. ; Ryan, M.J. (2021). A new hybrid multi-criteria decision-making approach for location selection of sustainable offshore wind energy stations : A case study. Journal of Cleaner Production, 280, DOI : 10.1016/j.jclepro.2020.124462
[5] Abdel-Basset, M. ; Gamal, A. ; Chakrabortty, R.K. ; Ryan, M.J. (2020). Evaluation of sustainablehydrogenn production options using an advanced hybrid MCDM approach : A case study. International Journal of Hydrogen Energy, DOI : 10.1016/j.ijhydene.2020.10.232.
[6] Alblowi, S.A. ; Salma, A.A. ; Eisa, M. (2014). New concepts of neutrosophic sets. Int.J. of Math and Comp. Appl. Research, 4(1), 59-66.
[7] Ac¸ikgoz, A. ; Esenbel, F. (2020). An Approach to pre-separation axioms in neutrosophic soft topological ¨ spaces. Commun.Fac.Sci.Univ.Ank.Ser. A1 Math. Stat., 69(2), 1389-1404.
[8] Ac¸ikgoz, A. ; Esenbel, F. (2021). A look on separation axioms in neutrosophic topological spaces. AIP ¨ Conference Proceedings, Turkey, 17-21 June, 2020, AIP Publishing, https://doi.org/10.1063/5.0042370.
[9] Aras, C¸ .G. ; Ozt ¨ urk, T.Y. ; Bayramov, S. (2019). Separation axioms on neutrosophic soft topological ¨ spaces. Turkish Journal of Mathematics, 43, 498-510.
[10] Al-Nafee, A.B. ; Al-Hamido,R.K. ; Smarandache, F. (2019). Separation Axioms in Neutrosophic Crisp Topological Spaces. Neutrosophic Sets and Systems, 25(1), 25-32.
[11] Babu, V. A. ; Aswini, J. (2021). Separation axioms in supra neutrosophic crisp topological spaces. Advances and Applications in Mathematical Sciences, 20(6), 1115-1128.
[12] Coker, D. (1997). An introduction to intuitionistic fuzzy topological spaces, Fuzzy Sets and Systems, 88, 81-89.
[13] Dey. S ; Ray, G.C. Covering properties in Neutrosophic Topological Spaces. Neutrosophic Sets and Systems, 51, 525-537.
[14] Dey. S ; Ray, G.C. (2022). Redefined neutrosophic composite relation and its application in medical diagnosis. Int. J. Nonlinear Anal. Appl., 13(Special issue for ICDACT-2021), 43-52.
[15] Dey. S ; Ray, G.C. (2023). Separation Axioms in Neutrosophic Topological Spaces. Neutrosophic Systems with Applications, 2, 38-54. DOI: https://doi.org/10.5281/zenodo.8195851
[16] Dey. S ; Ray, G.C. (2023). Properties of Redefined Neutrosophic Composite Relation. Neutrosophic Systems with Applications, 7, 1-12. DOI: https://doi.org/10.5281/zenodo.8207037
[17] Dey. S ; Ray, G.C. (2023). Neutrosophic Pre-compactness. International Journal of Neutrosophic Science, 21(1), 105-120.
[18] Guo, Y. ; Cheng, H.D. (2009). New neutrosophic approach to image segmentation. Pattern Recognition, 42, 587-595.
[19] Karatas, S. ; Kuru, C. (2016). Neutrosophic Topology. Neutrosophic Sets and Systems, 13(1), 90-95.
[20] Mehmood, A. ; Nadeem, F. ; Nordo, G. ; Zamir, M. ; Park, C. ; Kalsoom, H. ; Jabeen, S. ; Khan, M.I. (2020). Generalized Neutrosophic Separation Axioms in Neutrosophic Soft Topological Spaces. Neutrosophic Sets and Systems, 32(1), 38-51.
[21] Rao, V.V. ; Rao, Y.S. (2017). Neutrosophic Pre-open Sets and Pre-closed Sets in Neutrosophic Topology. International Journal of ChemTech Research, 10(10), 449-458.
[22] Ray, G.C. ; Dey, S. (2021). Neutrosophic point and its neighbourhood structure. Neutrosophic Sets and Systems, 43, 156-168.
[23] Ray, G.C. ; Dey, S. (2021). Relation of Quasi-coincidence for Neutrosophic Sets. Neutrosophic Sets and Systems, 46, 402-415.
[24] Smarandache, F. (1999). A Unifying Field in Logics: Neutrosophic Logic. Neutrosophy, Neutrosophic Set, Neutrosophic Probability. American Research Press, Rehoboth, NM.
[25] Smarandache, F. (2002). Neutrosophy and neutrosophic logic. First international conference on neutrosophy, neutrosophic logic, set, probability, and statistics, University of New Mexico, Gallup, NM 87301, USA.
[26] Smarandache, F. (2005). Neutrosophic set - a generalization of the intuitionistic fuzzy set. International Journal of Pure and Applied Mathematics, 24(3), 287-297.
[27] Salama, A.A. ; Alblowi, S. (2012). Generalized neutrosophic set and generalized neutrosophic topological spaces. Computer Science and Engineering, 2(7), 129-132.
[28] Salama, A.A. ; Alblowi, S. (2012). Neutrosophic set and Neutrosophic Topological Spaces. IOSR Journal of Mathematics, 3(4), 31-35.
[29] Salama, A. A. ; Smarandache, F. ; Kroumov, V. (2014). Closed sets and Neutrosophic Continuous Functions. Neutrosophic Sets and Systems, 4, 4-8. [30] Salma, A.A. ; Smarandache, F. (2015). Neutrosophic Set Theory. The Educational Publisher 415 Columbus, Ohio.
[31] S¸ enyurt, S. ; Kaya, G. (2017). On Neutrosophic Continuity. Ordu University Journal of Science and Technology, 7(2), 330-339.
[32] Sudha, V. ; Vadivel, A. ; Tamilselvan, S. (2021). Separation Axioms in Nnc Topological Spaces via Nnc e-open Sets. Journal of Physics: Conference Series 1724 012014, ICRTAMS 2020, India, 26-27 September, IOP Publishing, DOI:10.1088/1742-6596/1724/1/012014.
[33] Suresh, R. ; Palaniammal, S. (2020). NS(WG) separation axioms in Neutrosophic topological spaces. Journal of Physics: Conference Series 1597 012048, International Conference on New Trends in Mathematicall Modelling with Applications, India, 29-30 July 2019, IOP Publishing, doi:10.1088/1742- 6596/1597/1/012048.
[34] Wang, H. ; Smarandache, F. ; Zhang, Y.Q. ; Sunderraman, R. (2010). Single valued neutrosophic sets. Multispace Multistruct, 4, 410-413.
[35] Zadeh, L.A. (1965). Fuzzy sets. Inform. and Control, 8, 338-353
Cite This Article
Choose your preferred format