Turkish Journal of Mathematics
DOI
10.55730/1300-0098.3150
Abstract
In this paper, we generalize the notations of rough sets based on the topological space. Firstly, we produce various topologies by using the concept of ideal, $C_j$-neighbourhoods and $P_j$-neighbourhoods. When we compare these topologies with previous topologies, we see that these topologies are more general. Then we introduce new methods to find the approximations by using these generated topologies. When we compare these methods with the previous methods, we see that these methods are more accurate.
Keywords
Topological spaces, ideals, rough sets, ${\mathfrak{I}}_{C_j}$-approximations, ${\mathfrak{I}}_{P_j}$-approximations
First Page
1177
Last Page
1192
Recommended Citation
GÜLER, AYŞEGÜL ÇAKSU; YILDIRIM, ESRA DALAN; and ÖZBAKIR, OYA
(2022)
"Rough approximations based on different topologies via ideals,"
Turkish Journal of Mathematics: Vol. 46:
No.
4, Article 3.
https://doi.org/10.55730/1300-0098.3150
Available at:
https://journals.tubitak.gov.tr/math/vol46/iss4/3
