Neutrosophic Crisp Generalized sg-Closed Sets and their Continuity

Qays Hatem; Murtadha M.; Ali H. M.; Said

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

Full Length Article

Volume 20 • Issue 4 • PP: 106-118 • 2023

Neutrosophic Crisp Generalized sg-Closed Sets and their Continuity

Qays Hatem Imran ^1*

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,

Murtadha M. Abdulkadhim ²

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,

Ali H. M. Al-Obaidi ³

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,

Said Broumi ⁴

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¹Department of Mathematics, College of Education for Pure Science, Al-Muthanna University, Samawah, Iraq

²Department of Science, College of Basic Education, Al-Muthanna University, Samawah, Iraq

³Department of Mathematics, College of Education for Pure Science, University of Babylon, Hillah, Iraq.

⁴Laboratory of Information Processing, Faculty of Science Ben M’Sik, University Hassan II, B.P 7955, Morocco

* Corresponding Author.

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

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

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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 &nbsp Neucgsg-interior &nbsp Neucgsg -continuous &nbsp 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.

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Imran, Qays Hatem, Abdulkadhim, Murtadha M., Al-Obaidi, Ali H. M., Broumi, Said. "Neutrosophic Crisp Generalized sg-Closed Sets and their Continuity." International Journal of Neutrosophic Science, vol. Volume 20, no. Issue 4, 2023, pp. 106-118. DOI: https://doi.org/10.54216/IJNS.200408

Imran, Q., Abdulkadhim, M., Al-Obaidi, A., Broumi, S. (2023). Neutrosophic Crisp Generalized sg-Closed Sets and their Continuity. International Journal of Neutrosophic Science, Volume 20(Issue 4), 106-118. DOI: https://doi.org/10.54216/IJNS.200408

Imran, Qays Hatem, Abdulkadhim, Murtadha M., Al-Obaidi, Ali H. M., Broumi, Said. "Neutrosophic Crisp Generalized sg-Closed Sets and their Continuity." International Journal of Neutrosophic Science Volume 20, no. Issue 4 (2023): 106-118. DOI: https://doi.org/10.54216/IJNS.200408

Imran, Q., Abdulkadhim, M., Al-Obaidi, A., Broumi, S. (2023) 'Neutrosophic Crisp Generalized sg-Closed Sets and their Continuity', International Journal of Neutrosophic Science, Volume 20(Issue 4), pp. 106-118. DOI: https://doi.org/10.54216/IJNS.200408

Imran Q, Abdulkadhim M, Al-Obaidi A, Broumi S. Neutrosophic Crisp Generalized sg-Closed Sets and their Continuity. International Journal of Neutrosophic Science. 2023;Volume 20(Issue 4):106-118. DOI: https://doi.org/10.54216/IJNS.200408

Q. Imran, M. Abdulkadhim, A. Al-Obaidi, S. Broumi, "Neutrosophic Crisp Generalized sg-Closed Sets and their Continuity," International Journal of Neutrosophic Science, vol. Volume 20, no. Issue 4, pp. 106-118, 2023. DOI: https://doi.org/10.54216/IJNS.200408

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