428 229
Full Length Article
Volume 6 , Issue 1, PP: 32-40 , 2020

Title

Neutrosophic Crisp Semi Separation Axioms In Neutrosophic Crisp Topological Spaces

Authors Names :   Riad K. Al-Hamido   1 *     Luai Salha   2     Taleb Gharibah   3  

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@gmail.com


3  Affiliation :  Department of Mathematics, College of Science, AlBaath University, Homs, Syria

    Email :  Taleb.Gharibah33@gmail.com



Doi   :  10.5281/zenodo.3831081


Abstract :

The main goal of this paper is to propose a new type of separation axioms via neutrosophic crisp semi open sets and neutrosophic crisp points in neutrosophic crisp topological spaces, namely neutrosophic crisp semi separation axioms. Finally, we examine the relationship between them in details. And also includes the study of the connections between these neutrosophic crisp semi separation axioms and the existing neutrosophic crisp separation axioms. Moreover, many examples are presented, to illustrate the concepts introduced in this paper. and investigate their fundamental properties, relationships and characterizations.

Keywords :

Neutrosophic crisp semi separation axiom , neutrosophic crisp separation axiom , neutrosophic crisp point.

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 1, 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 , 101735, 2019.

[9]    M. Abdel-Basset, E. Mohamed, G. Abduallah  and F. Smarandache"A novel model for evaluation Hospital medical care systems based on plithogenic sets" Artificial intelligence in medicine 100 (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, pp.1-26, 2019.  

[12] A. B.AL-Nafeen R.K. Al-Hamido, F.Smarandache, "Separation Axioms In Neutrosophic Crisp Topological Spaces", Neutrosophic Sets and Systems, vol. 25, 25-32, 2019.

[13] 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.

[14] W. Al-Omeri, "Neutrosophic crisp sets via neutrosophic crisp topological spaces". Neutrosophic Sets Syst, Vol. 13, pp.96–104, 2016.

[15] W. Al-Omeri,  S. Jafari "On Generalized Closed Sets and Generalized Pre-Closed Sets in Neutrosophic Topological Spaces", Mathematics, Vol. 7, pp.1-12, 2019. doi:doi.org/10.3390/math7010001.

[16] 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. 

[17] 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.

[18] R. K.Al-Hamido, “A study of multi-Topological Spaces”, PhD Theses, AlBaath university , Syria, 2019.

[19] R. K.Al-Hamido,“Neutrosophic Crisp Supra Bi-Topological Spaces”, International Journal of Neutrosophic Science, Vol. 1, pp.66-73, 2018. 

[20] R.K. Al-Hamido, “Neutrosophic Crisp Bi-Topological Spaces”, Neutrosophic Sets and Systems, vol. 21, pp.66-73, 2018. 

[21] 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. 

[22] 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, pp.72-76 , 2020.

[23] E. O. Adeleke, A. A. A. Agboola, F. Smarandache, “Refined Neutrosophic Rings I ”, International Journal of Neutrosophic Science,  vol. 2 , No. 2, pp.77-81 , 2020.

[24] E. O. Adeleke, A. A. A. Agboola, F. Smarandache, “Refined Neutrosophic Rings II”, International Journal of Neutrosophic Science,   vol 2 , No. 2, pp.89-94 , 2020.

[25] 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, pp.47-62 , 2020.

[26] A. Hatip, “The Special Functions”, International Journal of Neutrosophic Science, vol. 4 , No. 2, pp.104-116, 2020.