Volume 8 • Issue 2 • PP: 72-79 • 2020
Pre Separation Axioms In Neutrosophic Crisp Topological Spaces
Open Access & Copyright
© 2020 The Author(s). Published by ASPG. This article is licensed under the Creative Commons Attribution 4.0 International License (CC BY 4.0).
View PDF Abstract
In this paper, A new type of separation axioms in the neutrosophic crisp Topological space named neutrosophic crisp pre separation axioms is going to be defined , in which neutrosophic crisp pre open set and neutrosophic crisp point are to be depended on. Also, relations among them and the other type are going to be found.
Keywords
References
[1] A.A.Salama, F. Smarandache and Kroumov,"Neutrosophic crisp Sets and Neutrosophic crisp Topological Spaces", Neutrosophic Sets and Systems Vlo 2 , pp.25-30, 2014.
[2] A. A. Salama, "Neutrosophic Crisp Points and Neutrosophic Crisp Ideals", Neutrosophic Sets and Systems vol1 , pp.50-54 , 2013.
[3] A. A Salama, I. M Hanafy, Hewayda Elghawalby Dabash M.S, "Neutrosophic Crisp Closed Region and Neutrosophic Crisp Continuous Functions", New Trends in Neutrosophic Theory and Applications.
[4] A. A Salama; Hewayda Elghawalby, M.S. Dabash, A. M. NASR , "Retrac Neutrosophic Crisp System For Gray Scale Image", Asian Journal of Mathematics and Computer Research, Vol 24, pp.104-117-22, 2018.
[5] A. A Salama, "Basic Structure of Some Classes of Neutrosophic Crisp Nearly Open Sets & Possible Application to GIS Topology" Neutrosophic Sets and Systems, Vol 7, pp.18-22, 2015.
[6] A. A Salama, F. Smarandache, "Neutrosophic Crisp Set Theory", Neutrosophic Sets and Systems,Vol 5, pp.1-9, 2014.
[7] F. 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.
[8] M. Abdel-Basset, M. Mai; E. Mohamed, C. Francisco, H. Z. Abd El-Nasser, "Cosine similarity measures of bipolar neutrosophic set for diagnosis of bipolar disorder diseases", Artificial Intelligence in Medicine Vol 101 , pp.101735, 2019.
[9] M. Abdel-Basset, E. Mohamed, G. Abduallah; and S. Florentin, "A novel model for evaluation Hospital medical care systems based on plithogenic sets", Artificial intelligence in medicine vol100 , 2019, 101710.
[10] M. Abdel-Basset, G. Gunasekaran Mohamed, G. Abduallah, C. Victor, "A Novel Intelligent Medical Decision Support Model Based on Soft Computing and IoT", IEEE Internet of Things Journal, Vol 7, 2019.
[11] M. Abdel-Basset, G. Abduallah, G. Gunasekaran, L. Hoang Viet,"A novel group decision making model based on neutrosophic sets for heart disease diagnosis", Multimedia Tools and Applications, 1-26, 2019.
[12] A. B.AL-Nafee, R.K. Al-Hamido, F.Smarandache, "Separation Axioms In Neutrosophic Crisp Topological Spaces", Neutrosophic Sets and Systems, vol 25,pp.25-32, 2019.
[13] K.Al-Hamido, L.A.Salha and T. Gharibah, "Semi Separation Axioms In Neutrosophic Crisp Topological Spaces", International Journal of Neutrosophic Science Vol 6 , pp.32-40, 2020.
[14] F. Smarandache, S. Pramanik, "New Neutrosophic Sets via Neutrosophic Topological Spaces", In Neutrosophic Operational Research, Pons Editions: Brussels, Belgium, Vol 1, pp.189–209, 2017.
[15] W. Al-Omeri, "Neutrosophic crisp sets via neutrosophic crisp topological spaces", Neutrosophic Sets Syst, Vol 13, pp.96–104, 2016.
[16] W. Al-Omeri, S. Jafari "On Generalized Closed Sets and Generalized Pre-Closed Sets in Neutrosophic Topological Spaces", Mathematics, doi:doi.org/10.3390/math7010001, Vol 7, pp.1-12, 2019.
[17] R.K. Al-Hamido, Q. H. Imran, K. A. Alghurabi, T. Gharibah, "On Neutrosophic Crisp Semi Alpha Closed Sets", Neutrosophic Sets and Systems, vol 21, pp.28-35, 2018.
[18] Q. H. Imran, F. Smarandache, R.K. Al-Hamido, R. Dhavasselan,"On Neutrosophic Semi Alpha open Sets", Neutrosophic Sets and Systems, vol 18, pp. 37-42, 2017.
[19] R. K. Al-Hamido, "A study of multi-Topological Spaces", PhD Theses, AlBaath university , Syria, 2019.
[20] R. K. Al-Hamido, "Neutrosophic Crisp Supra Bi-Topological Spaces", International Journal of Neutrosophic Science, Vol 1, pp.66-73, 2018.
[21] R.K. Al-Hamido, "Neutrosophic Crisp Bi-Topological Spaces", Neutrosophic Sets and Systems, vol 21, pp.66-73, 2018.
[22] R.K. Al-Hamido, T. Gharibah, S. Jafari F.Smarandache, "On Neutrosophic Crisp Topology via N-Topology", Neutrosophic Sets and Systems, vol 21, pp.96-109, 2018.
[23] V. Christianto, F. Smarandache , M. Aslam, "How we can extend the standard deviation notion with neutrosophic interval and quadruple neutrosophic numbers", International Journal of Neutrosophic Science, vol 2, No. 2, 72-76 , 2020.
[24] E. O. Adeleke, A. A. A. Agboola , F. Smarandache, "Refined Neutrosophic Rings I", International Journal of Neutrosophic Science, vol. 2 , No 2, 77-81 , 2020.
[25] E. O. Adeleke , A. A. A. Agboola , F. Smarandache, "Refined Neutrosophic Rings II", International Journal of Neutrosophic Science, vol 2 , No 2, 89-94 , 2020.
[26] M. A. Ibrahim, A. A. A. Agboola , E. O. Adeleke, S. A. Akinleye, "Introduction to Neutrosophic Subtraction Algebra and Neutrosophic Subtraction Semigroup", International Journal of Neutrosophic Science, vol 2 , No. 1, 47-62 , 2020.
[27] A. Hatip, "The Neutrosophic Special Functions", International Journal of Neutrosophic Science, vol 4, No. 2, 104-116, 2020.
Cite This Article
Choose your preferred format
Publisher's Note
The statements, opinions, and data presented in this article are solely those of the author(s) and do not necessarily represent those of ASPG, the journal, or its editors. ASPG and the editors disclaim responsibility for any harm arising from the use of any ideas, methods, instructions, or products described in this article, to the fullest extent permitted by applicable law.