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Full Length Article
International Journal of Neutrosophic Science
Volume 20 , Issue 1, PP: 17-26 , 2023 | Cite this article as | XML | Html |PDF

Title

New Operators Using Neutrosophic Crisp Open Set

  Riad K. Al-Hamido 1 *

1  Department of Mathematics, College of Science, AlFurat University, Deir-ez-Zor, Syria
    (riad-hamido1983@hotmail.com)


Doi   :   https://doi.org/10.54216/IJNS.200102

Received: August 02, 2022 Accepted: December 05, 2022

Abstract :

In this paper, we introduce new sets  in neutrosophic crisp topology called neutrosophic crisp frontier, neutrosophic crisp border and neutrosophic crisp exterior with the help of neutrosophic crisp open sets in neutrosophic crisp topological space. Also, we discuss the basic and important properties of them and the relations between them. Finally, many examples are presented. 

Keywords :

Neutrosophic crisp open set; neutrosophic crisp closed set; neutrosophic crisp frontier; neutrosophic crisp border; Neutrosophic crisp exterior.

References :

[1] F. Smarandache, (1988). “Neutrosophy / Neutrosophic probability, set, and logic”. American Research

Press, See also: http://gallup.unm.edu/~smarandache/NeutLog.txt.

[2] F. Smarandache, (2002). “Neutrosophy and Neutrosophic Logic, First International Conference on

Neutrosophy, Neutrosophic Logic, Set, Probability, and Statistics”. University of New Mexico, Gallup, NM

87301, USA.

[3] S. Mashhour, A. A. Allam, F. S. Mahmoud, and F. H. Khedr, (1983). “On Supra topological spaces”.

Indian Jr.Pure and Appl.Math, No.4, 14, 502-510.

[4] A. A. Salama, F. Smarandache and Kroumov. (2012). “Neutrosophic Set and Neutrosophic Topological

Spaces”. IOSR Journal of Mathematics, 3, 31-35.

[5] A. A. Salama, F. Smarandache and Kroumov, (2014). “Neutrosophic crisp Sets and Neutrosophic crisp

Topological Spaces” Neutrosophic Sets and Systems Vlo.2, 25-30.

[6] P. Iswarya, and K. Bageerathi, (2017). “A Study on Neutrosophic Frontier and Neutrosophic Semi-frontier

in Neutrosophic Topological Spaces”, Neutrosophic Sets and Systems, Vol 16, pp 6-15.

[7] A. B. AL-Nafee, R. K. Al-Hamido, F. Smarandache, (2019). "Separation Axioms In Neutrosophic Crisp

Topological Spaces", Neutrosophic Sets and Systems, vol. 25, 25-32

[8] 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.

[9] A. A Salama, Hewayda Elghawalby, M.S. Dabash, A. M. NASR , (2018).Retrac Neutrosophic Crisp

System For Gray Scale Image, Asian Journal of Mathematics and Computer Research, Vol. 24, 104-117-

22.

[10] A. A Salama, (2015). Basic Structure of Some Classes of Neutrosophic Crisp Nearly Open Sets & Possible

Application to GIS Topology. Neutrosophic Sets and Systems, Vol. 7, 18-22.

[11] A. A Salama, F. Smarandache, (2014).Neutrosophic Crisp Set Theory, Neutrosophic Sets and Systems,Vol.

5, 1-9.

[12] F. Smarandache, (2002). “Neutrosophy and Neutrosophic Logic, First International Conference on

Neutrosophy, Neutrosophic Logic, Set, Probability, and Statistics” University of New Mexico, Gallup, NM

87301, USA.

[13] M. Abdel-Basset, M. Mai, E. Mohamed, C. Francisco, H. Z. Abd El-Nasser,(2019)."Cosine similarity

measures of bipolar neutrosophic set for diagnosis of bipolar disorder diseases" Artificial Intelligence in

Medicine Vol. 101 , 101735.

[14] M. Abdel-Basset, E. Mohamed, G. Abduallah, and F. Smarandache,(2019). "A novel model for evaluation

Hospital medical care systems based on plithogenic sets" Artificial intelligence in medicine 100, 101710.

[15] M. Abdel-Basset, G. Gunasekaran Mohamed, G. Abduallah. C. Victor, (2019). "A Novel Intelligent

Medical Decision Support Model Based on Soft Computing and IoT" IEEE Internet of Things Journal, Vol.

7.

[16] M. Abdel-Basset, G. Abduallah, G. Gunasekaran, L. Hoang Viet, (2019). "A novel group decision making

model based on neutrosophic sets for heart disease diagnosis" Multimedia Tools and Applications, 1-26.

[17] R. K. Al-Hamido, (2018)."Neutrosophic Crisp Bi-Topological Spaces", Neutrosophic Sets and Systems,

Vol 21, pp66-73.

[18] R. K. Al-Hamido, (2018)."Neutrosophic Crisp Supra Bi-Topological Spaces", International Journal of

Neutrosophic Science, Vol 1, pp66-73.

[19] R. K. Al-Hamido, (2018). " A New Approach Of Neutrosophic Topological space ", International Journal

of Neutrosophic Science, Vol 1, pp66-73, 2018.

[20] R. K. Al-Hamido, Q. H. Imran, K. A. Alghurabi, T. Gharibah, (2018). “On Neutrosophic Crisp Semi

Alpha Closed Sets”, Neutrosophic Sets and Systems”, vol. 21, 28-35.

[21] Q. H. Imran, F. Smarandache, R. K. Al-Hamido, R. Dhavasselan, (2017) “On Neutrosophic Semi Alpha

open Sets”, Neutrosophic Sets and Systems, vol. 18, 37-42.


Cite this Article as :
Style #
MLA Riad K. Al-Hamido. "New Operators Using Neutrosophic Crisp Open Set." International Journal of Neutrosophic Science, Vol. 20, No. 1, 2023 ,PP. 17-26 (Doi   :  https://doi.org/10.54216/IJNS.200102)
APA Riad K. Al-Hamido. (2023). New Operators Using Neutrosophic Crisp Open Set. Journal of International Journal of Neutrosophic Science, 20 ( 1 ), 17-26 (Doi   :  https://doi.org/10.54216/IJNS.200102)
Chicago Riad K. Al-Hamido. "New Operators Using Neutrosophic Crisp Open Set." Journal of International Journal of Neutrosophic Science, 20 no. 1 (2023): 17-26 (Doi   :  https://doi.org/10.54216/IJNS.200102)
Harvard Riad K. Al-Hamido. (2023). New Operators Using Neutrosophic Crisp Open Set. Journal of International Journal of Neutrosophic Science, 20 ( 1 ), 17-26 (Doi   :  https://doi.org/10.54216/IJNS.200102)
Vancouver Riad K. Al-Hamido. New Operators Using Neutrosophic Crisp Open Set. Journal of International Journal of Neutrosophic Science, (2023); 20 ( 1 ): 17-26 (Doi   :  https://doi.org/10.54216/IJNS.200102)
IEEE Riad K. Al-Hamido, New Operators Using Neutrosophic Crisp Open Set, Journal of International Journal of Neutrosophic Science, Vol. 20 , No. 1 , (2023) : 17-26 (Doi   :  https://doi.org/10.54216/IJNS.200102)