Journal
INFORMATION SCIENCES
Volume 178, Issue 21, Pages 4138-4141Publisher
ELSEVIER SCIENCE INC
DOI: 10.1016/j.ins.2008.07.002
Keywords
rough set; generalized rough set; topology; compactness condition
Categories
Funding
- National Natural Science Foundation of China [60474022]
- youth foundation of sichuan province [06ZQ026-037]
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In this paper. we investigate the relationship between generalized rough sets induced by reflexive and transitive relations and the topologies on the universe which is not restricted to be finite. It is proved that there exists a one-to-one correspondence between the set of all reflexive and transitive relations and the set of all topologies which satisfy a certain kind of compactness condition. (C) 2008 Elsevier Inc. All rights reserved.
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