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Zbl 1109.68121
Zhu, William
Topological approaches to covering rough sets. (English)
[J] Inf. Sci. 177, No. 6, 1499-1508 (2007). ISSN 0020-0255

Summary: Rough sets, a tool for data mining, deal with the vagueness and granularity in information systems. This paper studies covering-based rough sets from the topological view. We explore the topological properties of this type of rough sets, study the interdependency between the lower and the upper approximation operations, and establish the conditions under which two coverings generate the same lower approximation operation and the same upper approximation operation. Lastly, axiomatic systems for the lower approximation operation and the upper approximation operation are constructed.
MSC 2000:
*68T37 Reasoning under uncertainty

Keywords: rough set; topology; fuzzy set; granular computing

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