Lattices of rough set abstractions as P-products

  • Authors:
  • Bernhard Ganter

  • Affiliations:
  • Institut für Algebra, Dresden University of Technology, Dresden

  • Venue:
  • ICFCA'08 Proceedings of the 6th international conference on Formal concept analysis
  • Year:
  • 2008

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Abstract

We show how certain lattices occurring in the theory of Rough Sets can be described in the language of Formal Concept Analysis. These lattices are obtained from generalised approximation operators forming a kernel-closure pair. We prove a general context representation theorem and derive first consequences. It becomes clear under which conditions the approximations can be interpreted as intervals in a lattice of "definable sets".