1
Department of Mathematics, College of Education for Pure Science, Al-Muthanna University, Samawah, Iraq
(qays.imran@mu.edu.iq)
2
Department of Mathematics, College of Education for Pure Science, University of Babylon, Hillah, Iraq
(aalobaidi@uobabylon.edu.iq)
3
Department of Mathematics, University of New Mexico 705 Gurley Ave. Gallup, NM 87301, USA
(smarand@unm.edu)
4
Laboratory of Information Processing, Faculty of Science Ben M’Sik, University Hassan II, B.P 7955, Morocco
(broumisaid78@gmail.com)
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.
Style | # |
---|---|
MLA | Qays Hatem Imran, Ali H. M. Al-Obaidi, Florentin Smarandache, Said Broumi. "On Neutrosophic Generalized Semi Generalized Closed Sets." International Journal of Neutrosophic Science, Vol. 18, No. 3, 2022 ,PP. 10-20 (Doi : https://doi.org/10.54216/IJNS.18030101) |
APA | Qays Hatem Imran, Ali H. M. Al-Obaidi, Florentin Smarandache, Said Broumi. (2022). On Neutrosophic Generalized Semi Generalized Closed Sets. Journal of International Journal of Neutrosophic Science, 18 ( 3 ), 10-20 (Doi : https://doi.org/10.54216/IJNS.18030101) |
Chicago | Qays Hatem Imran, Ali H. M. Al-Obaidi, Florentin Smarandache, Said Broumi. "On Neutrosophic Generalized Semi Generalized Closed Sets." Journal of International Journal of Neutrosophic Science, 18 no. 3 (2022): 10-20 (Doi : https://doi.org/10.54216/IJNS.18030101) |
Harvard | Qays Hatem Imran, Ali H. M. Al-Obaidi, Florentin Smarandache, Said Broumi. (2022). On Neutrosophic Generalized Semi Generalized Closed Sets. Journal of International Journal of Neutrosophic Science, 18 ( 3 ), 10-20 (Doi : https://doi.org/10.54216/IJNS.18030101) |
Vancouver | Qays Hatem Imran, Ali H. M. Al-Obaidi, Florentin Smarandache, Said Broumi. On Neutrosophic Generalized Semi Generalized Closed Sets. Journal of International Journal of Neutrosophic Science, (2022); 18 ( 3 ): 10-20 (Doi : https://doi.org/10.54216/IJNS.18030101) |
IEEE | Qays Hatem Imran, Ali H. M. Al-Obaidi, Florentin Smarandache, Said Broumi, On Neutrosophic Generalized Semi Generalized Closed Sets, Journal of International Journal of Neutrosophic Science, Vol. 18 , No. 3 , (2022) : 10-20 (Doi : https://doi.org/10.54216/IJNS.18030101) |