Rough approximations based on different topologies via ideals


Guler A. C. , Yildirim E. D. , ÖZBAKIR O.

TURKISH JOURNAL OF MATHEMATICS, 2022 (Journal Indexed in SCI) identifier

  • Publication Type: Article / Article
  • Publication Date: 2022
  • Doi Number: 10.3906/mat-2108-22
  • Title of Journal : TURKISH JOURNAL OF MATHEMATICS
  • Keywords: Topological spaces, ideals, rough sets, 3C(j)-approximations, 3P(j)-approximations, SETS

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, 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.