1 Affiliation : Department of Mathematics, College of Science, AlFurat University, Deir-ez-Zor, Syria
Email : riad-hamido1983@hotmail.com
2 Affiliation : Department of Mathematics, College of Science, AlBaath University, Homs, Syria
Email : Luai.Salha@hotmail.com
3 Affiliation : Department of Mathematics, College of Science, AlBaath University, Homs, Syria
Email : Taleb.Gharibah22@gmail.com
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 :
Neutrosophic crisp pre separation axiom , neutrosophic crisp separation axiom , neutrosophic crisp point , Neutrosophic crisp semi separation axiom.
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, "Reļ¬ned 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.
Style | # |
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MLA | Riad K. Al-Hamido,Luai Salha,Taleb Gharibah. "Pre Separation Axioms In Neutrosophic Crisp Topological Spaces." International Journal of Neutrosophic Science, Vol. 8, No. 2, 2020 ,PP. 72-79. |
APA | Riad K. Al-Hamido,Luai Salha,Taleb Gharibah. (2020). Pre Separation Axioms In Neutrosophic Crisp Topological Spaces. Journal of International Journal of Neutrosophic Science, 8 ( 2 ), 72-79. |
Chicago | Riad K. Al-Hamido,Luai Salha,Taleb Gharibah. "Pre Separation Axioms In Neutrosophic Crisp Topological Spaces." Journal of International Journal of Neutrosophic Science, 8 no. 2 (2020): 72-79. |
Harvard | Riad K. Al-Hamido,Luai Salha,Taleb Gharibah. (2020). Pre Separation Axioms In Neutrosophic Crisp Topological Spaces. Journal of International Journal of Neutrosophic Science, 8 ( 2 ), 72-79. |
Vancouver | Riad K. Al-Hamido,Luai Salha,Taleb Gharibah. Pre Separation Axioms In Neutrosophic Crisp Topological Spaces. Journal of International Journal of Neutrosophic Science, (2020); 8 ( 2 ): 72-79. |
IEEE | Riad K. Al-Hamido,Luai Salha,Taleb Gharibah, Pre Separation Axioms In Neutrosophic Crisp Topological Spaces, Journal of International Journal of Neutrosophic Science, Vol. 8 , No. 2 , (2020) : 72-79 (Doi : https://doi.org/10.54216/IJNS.080201) |