Rough approximations based on different topologies via ideals
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Date
2022
Authors
Aysegül Çaksu Güler
Esra Dalan Yildirim
Oya Bedre Özbakır
Journal Title
Journal ISSN
Volume Title
Publisher
TUBITAK
Open Access Color
GOLD
Green Open Access
No
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OpenAIRE Views
Publicly Funded
No
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<inf>j</inf> -neighbourhoods and P<inf>j</inf> -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. © 2024 Elsevier B.V. All rights reserved.
Description
Keywords
Icj -approximations, Ideals, Ipj -approximations, Rough Sets, Topological Spaces, 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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