On the topological properties of fuzzy rough sets
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Publication:1772766
DOI10.1016/j.fss.2004.08.017zbMath1070.54006OpenAlexW2075496978MaRDI QIDQ1772766
Publication date: 21 April 2005
Published in: Fuzzy Sets and Systems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.fss.2004.08.017
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Cites Work
- Unnamed Item
- Unnamed Item
- Fuzzy rough sets
- On relationships among fuzzy approximation operators, fuzzy topology, and fuzzy automata.
- A comparative study of fuzzy rough sets
- Two views of the theory of rough sets in finite universes
- Generalized fuzzy rough sets
- On relationship between modified sets, topological spaces and rough sets
- Axiomatics for fuzzy rough sets
- On extended fuzzy topologies
- ROUGH FUZZY SETS AND FUZZY ROUGH SETS*
- Rough sets
- On fuzzy topological spaces
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