Topological approaches to covering rough sets

  • Authors:

  • William Zhu

  • Affiliations:

  • Institute of Automation, The Chinese Academy of Sciences, Beijing, China and Department of Computer Science, University of Auckland, Auckland, New Zealand and Computer Information Engineering Coll ...

  • Venue:
  • Information Sciences: an International Journal
  • Year:
  • 2007

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Abstract

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.