On Topological Properties of IF Approximation Spaces
Rough approximation operators in approximation spaces are the core concept of rough set theory, which draw close links between rough set theory and topology. In this paper, we investigate rough approximation operators, study IF topologies induced by reflexive IF relations and give topological proper...
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| Format: | Article |
| Language: | English |
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Tsinghua University Press
2015-06-01
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| Series: | Fuzzy Information and Engineering |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S1616865815000436 |
| _version_ | 1827834544002170880 |
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| author | Ning-Xin Xie |
| author_facet | Ning-Xin Xie |
| author_sort | Ning-Xin Xie |
| collection | DOAJ |
| description | Rough approximation operators in approximation spaces are the core concept of rough set theory, which draw close links between rough set theory and topology. In this paper, we investigate rough approximation operators, study IF topologies induced by reflexive IF relations and give topological properties of IF approximation spaces. |
| first_indexed | 2024-03-12T05:52:24Z |
| format | Article |
| id | doaj.art-3fed471b183140c182f837ec2d8eefcc |
| institution | Directory Open Access Journal |
| issn | 1616-8658 |
| language | English |
| last_indexed | 2024-03-12T05:52:24Z |
| publishDate | 2015-06-01 |
| publisher | Tsinghua University Press |
| record_format | Article |
| series | Fuzzy Information and Engineering |
| spelling | doaj.art-3fed471b183140c182f837ec2d8eefcc2023-09-03T04:56:45ZengTsinghua University PressFuzzy Information and Engineering1616-86582015-06-017218319310.1016/j.fiae.2015.05.004On Topological Properties of IF Approximation SpacesNing-Xin XieRough approximation operators in approximation spaces are the core concept of rough set theory, which draw close links between rough set theory and topology. In this paper, we investigate rough approximation operators, study IF topologies induced by reflexive IF relations and give topological properties of IF approximation spaces.http://www.sciencedirect.com/science/article/pii/S1616865815000436IF setIF relationIF approximate spaceIF rough setIF topology |
| spellingShingle | Ning-Xin Xie On Topological Properties of IF Approximation Spaces Fuzzy Information and Engineering IF set IF relation IF approximate space IF rough set IF topology |
| title | On Topological Properties of IF Approximation Spaces |
| title_full | On Topological Properties of IF Approximation Spaces |
| title_fullStr | On Topological Properties of IF Approximation Spaces |
| title_full_unstemmed | On Topological Properties of IF Approximation Spaces |
| title_short | On Topological Properties of IF Approximation Spaces |
| title_sort | on topological properties of if approximation spaces |
| topic | IF set IF relation IF approximate space IF rough set IF topology |
| url | http://www.sciencedirect.com/science/article/pii/S1616865815000436 |
| work_keys_str_mv | AT ningxinxie ontopologicalpropertiesofifapproximationspaces |