Turkish Journal of Mathematics
DOI
10.3906/mat-2008-93
Abstract
Soft rough set theory has been presented as a basic mathematical model for decision-making for many real-life data. However, soft rough sets are based on a possible fusion of rough sets and soft sets which were proposed by Feng et al. [20]. The main contribution of the present article is to introduce a modification and a generalization for Feng's approximations, namely, soft $\beta$-rough approximations, and some of their properties will be studied. A comparison between the suggested approximations and the previous one [20] will be discussed. Some examples are prepared to display the validness of these proposals. Finally, we put an actual example of the infections of coronavirus (COVID-19) based on soft $\beta$-rough sets. This application aims to know the persons most likely to be infected with COVID-19 via soft $\beta$-rough approximations and soft $\beta$-rough topologies.
Keywords
COVID-19, information system, soft sets, soft topological spaces, decision-making
First Page
1133
Last Page
1148
Recommended Citation
BABLY, MOSTAFA K. EL and ATIK, ABD EL FATTAH A. EL
(2021)
"Soft $\beta$-rough sets and their application to determine COVID-19,"
Turkish Journal of Mathematics: Vol. 45:
No.
3, Article 4.
https://doi.org/10.3906/mat-2008-93
Available at:
https://journals.tubitak.gov.tr/math/vol45/iss3/4
