Guler, Aysegul CaksuYildirim, Esra DalanOzbakir, Oya Bedre2023-01-122023-01-1220221300-00981303-6149https://doi.org/10.3906/mat-2108-22https://search.trdizin.gov.tr/yayin/detay/535338https://hdl.handle.net/11454/78640In 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, Cj -neighbourhoods and Pj -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.en10.3906/mat-2108-22info:eu-repo/semantics/closedAccessTopological spacesidealsrough sets3C(j)-approximations3P(j)-approximationsSetsRough approximations based on different topologies via idealsArticle46411771192535338WOS:0007685482000012-s2.0-85131422290Q2Q2