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International Journal of Neutrosophic Science
Volume 20 , Issue 4, PP: 106-118 , 2023 | Cite this article as | XML | Html |PDF

Title

Neutrosophic Crisp Generalized sg-Closed Sets and their Continuity

  Qays Hatem Imran 1 * ,   Murtadha M. Abdulkadhim 2 ,   Ali H. M. Al-Obaidi 3 ,   Said Broumi 4

1  Department of Mathematics, College of Education for Pure Science, Al-Muthanna University, Samawah, Iraq
    (qays.imran@mu.edu.iq)

2  Department of Science, College of Basic Education, Al-Muthanna University, Samawah, Iraq
    (murtadha_moh@mu.edu.iq)

3  Department of Mathematics, College of Education for Pure Science, University of Babylon, Hillah, Iraq.
    (aalobaidi@uobabylon.edu.iq)

4  Laboratory of Information Processing, Faculty of Science Ben M’Sik, University Hassan II, B.P 7955, Morocco
    (broumisaid78@gmail.com)


Doi   :   https://doi.org/10.54216/IJNS.200408

Received: December 19, 2022 Accepted: March 09, 2023

Abstract :

In this paper, we delivered pioneering notions of closed sets in the neutrosophic crisp sense. In other words, we discussed -closed sets, -closed sets, and -closed sets in neutrosophic crisp topological space. Moreover, the subsequent innovative ideas are established, for instance, -closure and -interior in neutrosophic crisp topological space, and obtaining numerous of their highlights. Besides, we submitted different kinds of neutrosophic crisp continuous functions and their associations.

Keywords :

Neucgsg CS; Neucgsg OS; Neucgsg-closure;  Neucgsg-interior;  Neucgsg -continuous;  Neucgsg*-continuous and Neucgsg**-continuous functions.

References :

[1] A. A. Salama, F. Smarandache and V. Kroumov, Neutrosophic crisp sets and neutrosophic crisp topological spaces. Neutrosophic Sets and Systems, 2(2014), 25-30.

[2] A. A. Salama, I. M. Hanafy, Hewayda El Ghawalby and M. S. Dabash, Some GIS Topological Concepts via Neutrosophic Crisp Set Theory. New Trends in Neutrosophic Theories and Applications, (2016), 315-323.

[3] R. K. Al-Hamido, Q. H. Imran, K. A. Alghurabi and T. Gharibah, On neutrosophic crisp semi--closed sets. Neutrosophic Sets and Systems, 21(2018), 28-35.

[4] A. H. M. Al-Obaidi and Q. H. Imran, On new types of weakly neutrosophic crisp open mappings. Iraqi Journal of Science, 62(8) (2021), 2660-2666.

[5] A. H. M. Al-Obaidi, Q. H. Imran and M. M. Abdulkadhim, On new types of weakly neutrosophic crisp closed functions. Neutrosophic Sets and Systems, 50(2022), 239-247.

[6] Md. Hanif PAGE and Q. H. Imran, Neutrosophic generalized homeomorphism. Neutrosophic Sets and Systems, 35(2020), 340-346.

[7] Q. H. Imran, R. K. Al-Hamido and A. H. M. Al-Obaidi, On new types of weakly neutrosophic crisp continuity. Neutrosophic Sets and Systems, 38(2020), 179-187.

[8] Q. H. Imran, K. S. Tanak and A. H. M. Al-Obaidi, On new concepts of neutrosophic crisp open sets. Journal of Interdisciplinary Mathematics, 25(2) (2022), 563-572.

[9] M. Parimala, R. Jeevitha, F. Smarandache, S. Jafari and R. Udhayakumar, Neutrosophic αψ-homeomorphism in neutrosophic topological spaces. Information, 187(9) (2018), 1-10.

[10] V. Banupriya and S. Chandrasekar, Neutrosophic αgs continuity and neutrosophic αgs irresolute maps. Neutrosophic Sets and Systems, 28(2019), 162-170.

[11] V. Banupriya, S. Chandrasekar, M. Suresh, S. Anbalagan, Neutrosophic GS closed sets in neutrosophic topological spaces. Neutrosophic Sets and Systems, 49(2022), 375-388.

[12] M. M. Abdulkadhim, Q. H. Imran, A. H. M. Al-Obaidi and Said Broumi, On neutrosophic crisp generalized alpha generalized closed sets. International Journal of Neutrosophic Science, 19(1) (2022), 107-115.


Cite this Article as :
Style #
MLA Qays Hatem Imran, Murtadha M. Abdulkadhim, Ali H. M. Al-Obaidi, Said Broumi. "Neutrosophic Crisp Generalized sg-Closed Sets and their Continuity." International Journal of Neutrosophic Science, Vol. 20, No. 4, 2023 ,PP. 106-118 (Doi   :  https://doi.org/10.54216/IJNS.200408)
APA Qays Hatem Imran, Murtadha M. Abdulkadhim, Ali H. M. Al-Obaidi, Said Broumi. (2023). Neutrosophic Crisp Generalized sg-Closed Sets and their Continuity. Journal of International Journal of Neutrosophic Science, 20 ( 4 ), 106-118 (Doi   :  https://doi.org/10.54216/IJNS.200408)
Chicago Qays Hatem Imran, Murtadha M. Abdulkadhim, Ali H. M. Al-Obaidi, Said Broumi. "Neutrosophic Crisp Generalized sg-Closed Sets and their Continuity." Journal of International Journal of Neutrosophic Science, 20 no. 4 (2023): 106-118 (Doi   :  https://doi.org/10.54216/IJNS.200408)
Harvard Qays Hatem Imran, Murtadha M. Abdulkadhim, Ali H. M. Al-Obaidi, Said Broumi. (2023). Neutrosophic Crisp Generalized sg-Closed Sets and their Continuity. Journal of International Journal of Neutrosophic Science, 20 ( 4 ), 106-118 (Doi   :  https://doi.org/10.54216/IJNS.200408)
Vancouver Qays Hatem Imran, Murtadha M. Abdulkadhim, Ali H. M. Al-Obaidi, Said Broumi. Neutrosophic Crisp Generalized sg-Closed Sets and their Continuity. Journal of International Journal of Neutrosophic Science, (2023); 20 ( 4 ): 106-118 (Doi   :  https://doi.org/10.54216/IJNS.200408)
IEEE Qays Hatem Imran, Murtadha M. Abdulkadhim, Ali H. M. Al-Obaidi, Said Broumi, Neutrosophic Crisp Generalized sg-Closed Sets and their Continuity, Journal of International Journal of Neutrosophic Science, Vol. 20 , No. 4 , (2023) : 106-118 (Doi   :  https://doi.org/10.54216/IJNS.200408)