Knowledge Representation in Extended Pawlak's Information Systems: Algebraic Aspects

  • Authors:
  • Janis Cirulis

  • Affiliations:
  • -

  • Venue:
  • FoIKS '02 Proceedings of the Second International Symposium on Foundations of Information and Knowledge Systems
  • Year:
  • 2002

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Abstract

The notion of an information system in Pawlak's sense is extended by introducing a certain ordering on the attribute set, which allows to treat some attributes as parts of others. With every extended information system S associated is the set K(S) of those pieces of information that, in a sense, admit a direct access in S. The algebraic structure of the "information space" K(S) is investigated, and it is shown, in what extent the structure of S can be restored from the structure of its information space. In particular, an intrinsic binary relation on K(S), interpreted as entailment, is isolated, and an axiomatic description of a knowledge revision operation based on it is proposed.