The Topological Structure of Approximation Operators on a CCD Lattice

نویسندگان

  • Gao Yan
  • Qin Keyun
چکیده

Rough sets deal with the vagueness and granularity in information systems. Reference[3] discusses rough approximations on a complete completely distributive lattice(CCD lattice for short) and brings generalizations of rough sets into a unified framework. This paper is devoted to the discussion of the relationship between approximations and topologies on a CCD lattice. It is proved that the set of all upper approximations (or of lower approximations) with respect to a partition consists of a clopen topology.

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تاریخ انتشار 2009