More properties of \(\delta\beta\)-rough continuous functions on topological approximation spaces
Volume 30, Issue 2, pp 122--132
https://doi.org/10.22436/jmcs.030.02.04
Publication Date: December 04, 2022
Submission Date: September 27, 2022
Revision Date: October 09, 2022
Accteptance Date: November 10, 2022
Authors
A. S. Salama
- Mathematics Department, Faculty of Science, Tanta University, Tanta, Egypt.
A. A. Reyad
- Basic Sciences Department, Thebes Higher Inestitute for Engineering, Cairo, Egypt.
A. A. El-Atik
- Mathematics Department, Faculty of Science, Tanta University, Tanta, Egypt.
Abstract
Using the notion of \(\delta \beta \)-open set, we intend to do more research on rough continuous functions. The ideas of \(\delta \beta \)-totally rough continuous functions and \(\delta \beta \)-strongly rough continuous functions are proposed and researched. The notions of \(\delta \beta \)-internally and \(\delta \beta \)-totally functions are discussed, as well as some of their characterizations. Finally, the composition of \(\delta \beta \)-internally and totally functions is discussed.
Share and Cite
ISRP Style
A. S. Salama, A. A. Reyad, A. A. El-Atik, More properties of \(\delta\beta\)-rough continuous functions on topological approximation spaces, Journal of Mathematics and Computer Science, 30 (2023), no. 2, 122--132
AMA Style
Salama A. S., Reyad A. A., El-Atik A. A., More properties of \(\delta\beta\)-rough continuous functions on topological approximation spaces. J Math Comput SCI-JM. (2023); 30(2):122--132
Chicago/Turabian Style
Salama, A. S., Reyad, A. A., El-Atik, A. A.. "More properties of \(\delta\beta\)-rough continuous functions on topological approximation spaces." Journal of Mathematics and Computer Science, 30, no. 2 (2023): 122--132
Keywords
- Topological approximation spaces
- \(\delta \beta \)-open sets
- totally rough continuous functions
- strongly rough continuous functions
MSC
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