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International Journal of Neutrosophic Science

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Online: 2690-6805 Print: 2692-6148
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International Journal of Neutrosophic Science
Full Length Article

Volume 18 • Issue 3 • PP: 10-20 • 2022

On Neutrosophic Generalized Semi Generalized Closed Sets

Qays Hatem Imran 1*
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,
Ali H. M. Al-Obaidi 2
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,
Florentin Smarandache 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 Mathematics, College of Education for Pure Science, University of Babylon, Hillah, Iraq
3Department of Mathematics, University of New Mexico 705 Gurley Ave. Gallup, NM 87301, USA
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.18030101
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© 2022 The Author(s). Published by ASPG. This article is licensed under the Creative Commons Attribution 4.0 International License (CC BY 4.0).

Received: March 02, 2022 Accepted: May 30, 2022
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Abstract

The article considers a new generalization of closed sets in neutrosophic topological space. This generalization is called Neutrosophic gsg-closed set. Moreover, we discuss its essential features in neutrosophic topological spaces. Furthermore, we extend the research by displaying new related definitions such as neutrosophic gsg-closure and neutrosophic gsg-interior and debating their powerful characterizations and relationships.

Keywords

Neu^gsg CS Neu^gsg OS Neu^gsg-closure Neu^gsg-interior

References

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[3]   ‏A. Salama and S. A. Alblowi, Neutrosophic set and neutrosophic topological spaces. IOSR Journal of Mathematics, 3(2012), 31-35.

[4]   Q. H. Imran, F. Smarandache, R. K. Al-Hamido and R. Dhavaseelan, On neutrosophic semi-α-open sets. Neutrosophic Sets and Systems, 18(2017), 37-42.

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

[6]   R. Dhavaseelan and S. Jafari, Generalized Neutrosophic closed sets. New trends in Neutrosophic theory and applications, 2(2018), 261-273.

[7]   Q. H. Imran, R. Dhavaseelan, A. H. M. Al-Obaidi and M. H. Page, On neutrosophic generalized alpha generalized continuity. Neutrosophic Sets and Systems, 35(2020), 511-521.

[8]   P. Iswarya and Dr. K. Bageerathi, On neutrosophic semi-open sets in neutrosophic topological spaces. International Journal of Mathematics Trends and Technology (IJMTT), Vol.37, No.3 (2016), 24-33.

[9]   I. Arokiarani, R. Dhavaseelan, S. Jafari and M. Parimala, On Some New Notions and Functions in Neutrosophic Topological Spaces. Neutrosophic Sets and Systems, 16(2017), 16-19.

[10]  A. Pushpalatha and T. Nandhini, Generalized closed sets via neutrosophic topological spaces. Malaya Journal of Matematik, 7(1), (2019), 50-54.

[11]  D. Jayanthi, α Generalized Closed Sets in Neutrosophic Topological Spaces. International Journal of Mathematics Trends and Technology (IJMTT)- Special Issue ICRMIT March (2018), 88-91.

[12]  D. Sreeja and T. Sarankumar, Generalized Alpha Closed sets in Neutrosophic topological spaces. Journal of Applied Science and Computations, 5(11), (2018), 1816-1823.

[13]  P. Iswarya and Dr. K. Bageerathi, A study on neutrosophic semi generalized closed sets in neutrosophic topological spaces. Acta Ciencia Indica, Vol. XLIII M, No.4, (2017), 239-245.

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[15]  P. Iswarya and Dr. K. Bageerathi, A study on neutrosophic generalized semi closed sets in neutrosophic topological spaces. Journal of Emerging Technologies and Innovative Research (JETIR), Volume 6, Issue 2, (2019), 452-457.

 

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format_quote
Imran, Qays Hatem, Al-Obaidi, Ali H. M., Smarandache, Florentin, Broumi, Said. "On Neutrosophic Generalized Semi Generalized Closed Sets." International Journal of Neutrosophic Science, vol. Volume 18, no. Issue 3, 2022, pp. 10-20. DOI: https://doi.org/10.54216/IJNS.18030101
Imran, Q., Al-Obaidi, A., Smarandache, F., Broumi, S. (2022). On Neutrosophic Generalized Semi Generalized Closed Sets. International Journal of Neutrosophic Science, Volume 18(Issue 3), 10-20. DOI: https://doi.org/10.54216/IJNS.18030101
Imran, Qays Hatem, Al-Obaidi, Ali H. M., Smarandache, Florentin, Broumi, Said. "On Neutrosophic Generalized Semi Generalized Closed Sets." International Journal of Neutrosophic Science Volume 18, no. Issue 3 (2022): 10-20. DOI: https://doi.org/10.54216/IJNS.18030101
Imran, Q., Al-Obaidi, A., Smarandache, F., Broumi, S. (2022) 'On Neutrosophic Generalized Semi Generalized Closed Sets', International Journal of Neutrosophic Science, Volume 18(Issue 3), pp. 10-20. DOI: https://doi.org/10.54216/IJNS.18030101
Imran Q, Al-Obaidi A, Smarandache F, Broumi S. On Neutrosophic Generalized Semi Generalized Closed Sets. International Journal of Neutrosophic Science. 2022;Volume 18(Issue 3):10-20. DOI: https://doi.org/10.54216/IJNS.18030101
Q. Imran, A. Al-Obaidi, F. Smarandache, S. Broumi, "On Neutrosophic Generalized Semi Generalized Closed Sets," International Journal of Neutrosophic Science, vol. Volume 18, no. Issue 3, pp. 10-20, 2022. DOI: https://doi.org/10.54216/IJNS.18030101
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