Rough approximations based on different topologies via ideals
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Date
2022
Authors
Aysegul Caksu Guler
Esra Dalan Yildirim
Oya Bedre Ozbakir
Journal Title
Journal ISSN
Volume Title
Publisher
Tubitak Scientific & Technological Research Council Turkey
Open Access Color
GOLD
Green Open Access
No
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No
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Top 10%
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Top 10%
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.
Description
Keywords
Topological spaces, ideals, rough sets, 3C(j)-approximations, 3P(j)-approximations, SETS, Sets, Fuzzy topology, \(\mathcal{I}_{C_j}\)-approximations, \(\mathcal{I}_{P_j}\)-approximations, Topological spaces, Reasoning under uncertainty in the context of artificial intelligence, 3C(j)-approximations, topological spaces, ideals, 3P(j)-approximations, rough sets
Fields of Science
02 engineering and technology, 01 natural sciences, 0202 electrical engineering, electronic engineering, information engineering, 0101 mathematics
Citation
WoS Q
Scopus Q
OpenCitations Citation Count
21
Source
Turkish Journal of Mathematics
Volume
46
Issue
Start Page
1177
End Page
1192
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Citations
CrossRef : 22
Scopus : 28
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