On Neutrosophic Generalized Semi Generalized Closed Sets

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

doi:https://doi.org/10.54216/IJNS.18030101

Full Length Article

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

On Neutrosophic Generalized Semi Generalized Closed Sets

Qays Hatem Imran ^1*

mail

,

Ali H. M. Al-Obaidi ²

mail

,

Florentin Smarandache ³

mail

,

Said Broumi ⁴

mail

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

format_quote Cite this article

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

View PDF open_in_new

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

[1] F. Smarandache, A unifying field in logics: neutrosophic logic, neutrosophy, neutrosophic set, neutrosophic probability. American Research Press, Rehoboth, NM, (1999).

[2] 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).

[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.

[14] V. K. Shanthi, S. Chandrasekar and K. Safina Begam, Neutrosophic generalized semi closed sets in neutrosophic topological spaces. International Journal of Research in Advent Technology, Vol.6, No.7, (2018), 1739-1743.

[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.

Cite This Article

Choose your preferred format

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

Digital Archive Ready