On Asymptotic Properties of Rough-Set-Theoretic Approximations. Fractal Dimension, Exact Sets, and Rough Inclusion in Potentially Infinite Information Systems

  • Authors:
  • Lech Polkowski

  • Affiliations:
  • -

  • Venue:
  • TSCTC '02 Proceedings of the Third International Conference on Rough Sets and Current Trends in Computing
  • Year:
  • 2002

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Abstract

We look at asymptotic properties of rough set approximations exploiting them to three-fold purpose viz. to introduce a counterpart of fractal dimension in abstract information systems, to define the notion of an exact set in infinite information system to the result that so defined exact sets form a compact metric Boolean algebra of sets, and to introduce rough inclusion measures for rough mereology for infinitary concepts.