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Turkish Journal of Mathematics

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.

DOI

10.55730/1300-0098.3150

Keywords

Topological spaces, ideals, rough sets, ${\mathfrak{I}}_{C_j}$-approximations, ${\mathfrak{I}}_{P_j}$-approximations

First Page

1177

Last Page

1192

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