Volume 20 • Issue 4 • PP: 210-222 • 2023
Neutrosophic G* -Closed Sets in Neutrosophic Topological Spaces
Abstract
A neutrosophic set is a mathematical approach that helps with challenges involving data that is indeterminate, imprecise, or inconsistent. The goal of this manuscript is to present the notion of neutrosophic g*-closed sets and neutrosophic g*-open sets. In this situation, we prove various neutrosophic generalized theorems. The findings support previous methodologies in the literature and are backed up by various examples and an application.
Keywords
References
[1] M. Scheepers, Combinatorics of open covers i: Ramsey theory, Topology Appl. vol. 69, pp. 31–62, 1996.
[2] J. Dontchev, Survey on preopen sets, proc. Yatsushiro Topological Conf. pp. 1–8, 1998.
[3] A. A. El-Aziz, On generalized forms of compactness, Masters thesis, Faculty of Science, Tanta University, Egypt.
[4] D.Jayanthi,α Generalized closed Sets in Neutrosophic Topological Spaces, International Journal of Mathematics Trends and Technology (IJMTT)- Special Issue ICRMIT March. Infinite Study, (2018).
[5] A.Mary Margaret, and M.Trinita Pricilla.,Neutrosophic Vague Generalized Pre-closed Sets in Neutrosophic Vague Topological Spaces,International Journal of Mathematics And its Applications,Vol. 5, Issue 4-E, pp. 747–759,2017.
[6] V.K.Shanthi.V.K.,S.Chandrasekar.S, K.SafinaBegam, Neutrosophic Generalized Semi closed Sets in Neutrosophic Topological Spaces, International Journal of Research in Advent Technology, Vol.(ii),6, No.7,July pp. 1739–1743,2018.
[7] Renu Thomas, and S. Anila, On Neutrosophic Semi-preopen Sets and Semi-preclosed Sets in a Neutrosophic Topological Space, International Journal of Scientific Research in Mathematical and Statistical Sciences,Vol. 5, No. 5,pp. 138–143, 2018.
[8] Narmatha, S., E. Glory Bebina, and R. Vis.hnu Priyaa. On πgβ–Closed Sets and Mappings in Neutrosophic Topological Spaces. International Journal of Innovative Technology and Exploring Engineering (IJITEE) 8.125, pp. 505–510, 2019.
[9] W. F. Al-Omeri, F. Smarandache, New Neutrosophic Sets via Neutrosophic Topological Spaces, Brussels (Belgium): Pons, pp. 189–209, 2017.
[10] A. A. Salama, Said Broumi, S. A. Alblowi, Introduction to Neutrosophic Topological Spatial Region, Possible Application to GIS Topological Rules, I.J. Information
[11] R. Dhavaseelan, and S. Jafari. Generalized Neutrosophic closed sets, New trends in Neutrosophic theory and applications Volume II-261-273,(2018) R. Dhavaseelan, S. Jafari and md. Hanif page, Neutrosophic generalized alpha-contra-continuity, creat. math. inform Vol. 2334, pp.133–139, 2018.
[12] W. Al-Omeri, and S¿ Jafari. On Generalized Closed Sets and Generalized Pre-Closed Sets in Neutrosophic Topological Spaces, Mathematics, pp. 1–12, 2019.
[13] D. Coker, An introduction to intuitionistic fuzzy topological space, Fuzzy Sets and Systems, Vol. 88, No. 1, pp. 81–89, 1997.
[14] C. L. Chang, Fuzzy topological spaces, Journal of Mathematical Analysis and Applications Vol. 24, No. 1 , pp. 182–190, 1968.
[15] F. Smarandache, Neutrosophic Probability, Set, and Logic, ProQuest Information, Learning, Ann Arbor., Michigan, USA,, pp. 105, 1998.
[16] M. A. A. Shumrani, F. Smarandache, Introduction to non-standard neutrosophic topology, Symmetry Vol. 11 (0), pp. 1-14,2019, basel, Switzerland. doi:10.3390/sym11050000.
[17] K. Atanassov, Intuitionistic fuzzy sets, VII ITKRs Session, (Deposed in Central Sci.- Techn. Library of Bulg. Acad. of Sci., 1697/84) (in Bulg.), 1984.
[18] C. Maheswari, and S. Chandrasekar. Neutrosophic gb-closed Sets and Neutrosophic gb-Continuity. Infinite Study, 2020.
[19] M. Parimala , M. Karthika , Florentin Smarandache , Said Broumi, On αω-closed sets and its connectedness in terms of neutrosophic topological spaces, International Journal of Neutrosophic Science, Vol. 2 , No. 2 , (2020) : 82-88 (Doi : https://doi.org/10.54216/IJNS.020204)
[20] A. Vadivel , C. John Sundar, Neutrosophic δ-Open Maps and Neutrosophic δ-Closed Maps, International Journal of Neutrosophic Science, Vol. 13 , No. 2, pp. 66–74, 2021 (Doi : https://doi.org/10.54216/IJNS.130203)
[21] P. Basker , Broumi Said, NΨ♯ 0α and NΨ♯ 1α-spaces in Neutrosophic Topological Spaces, International Journal of Neutrosophic Science, Vol. 16 , No. 1 , pp.09–15, 2021 (Doi : https://doi.org/10.54216/IJNS.160101)
[22] Acikgoz, Ahu, and Ferhat Esenbel. A study on connectedness in neutrosophic opological spaces. AIP Conference Proceedings. Vol. 2334. No. 1. AIP Publishing LLC, 2021.
Cite This Article
Choose your preferred format