On Irreducible Descriptive Sets of Attributes for Information Systems

  • Authors:
  • Mikhail Moshkov;Andrzej Skowron;Zbigniew Suraj

  • Affiliations:
  • Institute of Computer Science, University of Silesia, Sosnowiec, Poland 41-200;Institute of Mathematics, Warsaw University, Warsaw, Poland 02-097;Chair of Computer Science, University of Rzeszów, Rzeszów, Poland 35-310

  • Venue:
  • RSCTC '08 Proceedings of the 6th International Conference on Rough Sets and Current Trends in Computing
  • Year:
  • 2008

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Abstract

The maximal consistent extension Ext(S) of a given information system Sconsists of all objects corresponding to attribute values from Swhich are consistent with all true and realizable rules extracted from the original information system S. An irreducible descriptive set for the considered information system Sis a minimal (relative to the inclusion) set Bof attributes which defines exactly the set Ext(S) by means of true and realizable rules constructed over attributes from the considered set B. We show that there exists only one irreducible descriptive set of attributes. We also present a polynomial algorithm for this set construction. The obtained results will be useful for the design of concurrent data models from experimental data.