TARU PUBLICATIONS
Journal of Interdisciplinary Mathematics cover
Open Access ·Peer-reviewed·ISSN (Online): 2169-012X·ISSN (Print): 0972-0502

Freq.: MONTHLY - Publishes the methodological and theoretical role of mathematics and mathematical applications underpinning scientific research.

Issues up to 2022 co-published with and available at:Taylor & Francis Online
submissions@tarupublications.com
Open Access Research Article

On semi-open sets in grill nano topological spaces

* ,

* Corresponding author · click or hover a name for details

pp. 1549–1554Vol. 26Issue 7October 2023DOI: 10.47974/JIM-1579XML
Published Online:
29 Nov 2023
Article type:
Research Article
Language:
EN
Article no.:
JIM-1579
Pages:
1549–1554

Abstract

Open sets may be viewed as an extension of semi-open sets by applying the notions of semi-open sets and grill nano to nGs-open sets, with the following four goals in mind: The objective is to characterize nGs-open sets by examining and proving numerous of its attributes and comments. And investigate and define new kinds of functions based on the concept of nGs-open sets.

Keywords

Subject Classifications

18B3028C15

References

[1] G. Choquet, Sur Les notions de filter et. grill, Completes Rendus Acad. Sci. Paris 224, 171–173 (1947). 
[2] Al-Omari, T. Noiri, Decomposition of continuity via grilles, Jordan J. Math. Stat. 4 (1), 33–46 (2011). 
[3] Mustafa, M. O., Esmaeel, R.B. Some properties in grill-topological open and closed sets, Journal of Physics: Conference Series, 1897(1), 012038 (2021).
[4] G. Choquet, Sur les notions de filtre et grille, Comptes Rendus Acad. Sci. Paris, 224, 171-173 (1947).
[5] Crossley, S. G. : Semi-closure. Texas J. Sci., 22, 99-112 (1971). 
[6] N. Levine, Generalized closed sets in topological spaces, Rend Circ. Mat. Palemo 19, 89–96 (1970).
[7] M. L. Thivagar, C. Richard, On Nano forms of weakly open sets, Int. J. Math. Stat. Invention 1 (1), 31–37 (2013). 
[8] A. J. Mahmood, A.I. Nasir, Connectedness via Generalizations of Semi-Open Sets, Ibn Al Haitham Journal for Pure and Applied Sciences,  35(4), 235-240 (2022).
[9] Z. pawlak, Rough sets, Int. J. Comput. Inf. Sci. 11 (5), 341–356 (1982).
[10] E. Hatir and S. Jafari, On some new decomposition of continuity via grills, J. Adv. Math. Studies, 3(1), 33-40 (2010).
[11] Esmaeel, R. B., Mohammad, R. J. On Nano soft J-semi-g-closed sets, Journal of Physics: Conference Series, 1591(1), 012071 (2020).
[12] R. A. Muneshwar & K. L. Bondar. Some results of inclusion graph of a topology, Journal of Discrete Mathematical Sciences and Cryptography, 25:1, 135-145 (2022), DOI: 10.1080/09720529.2021.1969752. 

Views: 158Downloads: 7Citations: 3