International Journal of Neutrosophic Science

Journal DOI

https://doi.org/10.54216/IJNS

Submit Your Paper

2690-6805ISSN (Online) 2692-6148ISSN (Print)
Full Length Article

International Journal of Neutrosophic Science

Volume 8 , Issue 2 , PP: 72-79, 2020 | Cite this article as | XML | Html | PDF

Pre Separation Axioms In Neutrosophic Crisp Topological Spaces

Riad K. Al-Hamido 1 * , Luai Salha 2 , Taleb Gharibah 3

  • 1 Department of Mathematics, College of Science, AlFurat University, Deir-ez-Zor, Syria - (riad-hamido1983@hotmail.com )
  • 2 Department of Mathematics, College of Science, AlBaath University, Homs, Syria - ( Luai.Salha@hotmail.com )
  • 3 Department of Mathematics, College of Science, AlBaath University, Homs, Syria - (Taleb.Gharibah22@gmail.com)
  • Doi: https://doi.org/10.54216/IJNS.080201

    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.

     

     

    Cite This Article As :
    K., Riad. , Salha, Luai. , Gharibah, Taleb. Pre Separation Axioms In Neutrosophic Crisp Topological Spaces. Journal of International Journal of Neutrosophic Science, vol. 8, no. 2, 2020, pp. 72-79. DOI: https://doi.org/10.54216/IJNS.080201
    K., R. Salha, L. Gharibah, T. (2020). Pre Separation Axioms In Neutrosophic Crisp Topological Spaces. Journal of International Journal of Neutrosophic Science, 8( 2), 72-79. DOI: https://doi.org/10.54216/IJNS.080201
    K., Riad. Salha, Luai. Gharibah, Taleb. Pre Separation Axioms In Neutrosophic Crisp Topological Spaces. Journal of International Journal of Neutrosophic Science 8, no. 2 (2020): 72-79. DOI: https://doi.org/10.54216/IJNS.080201
    K., R. , Salha, L. , Gharibah, T. (2020) . Pre Separation Axioms In Neutrosophic Crisp Topological Spaces. Journal of International Journal of Neutrosophic Science , 8( 2) , 72-79 . DOI: https://doi.org/10.54216/IJNS.080201
    K. R. , Salha L. , Gharibah T. [2020]. Pre Separation Axioms In Neutrosophic Crisp Topological Spaces. Journal of International Journal of Neutrosophic Science. 8( 2): 72-79. DOI: https://doi.org/10.54216/IJNS.080201
    [1] K., R. [2] Salha, L. [3] Gharibah, T. "Pre Separation Axioms In Neutrosophic Crisp Topological Spaces," Journal of International Journal of Neutrosophic Science, vol. 8, no. 2, pp. 72-79, 2020. DOI: https://doi.org/10.54216/IJNS.080201