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

  • Lech Polkowski
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 2475)

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.

Keywords

Fractals the Minkowski dimension information systems rough sets A-dimension 

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Copyright information

© Springer-Verlag Berlin Heidelberg 2002

Authors and Affiliations

  • Lech Polkowski
    • 1
    • 2
  1. 1.Polish-Japanese Institute of Information TechnologyWarsawPoland
  2. 2.Department of Mathematics and Computer ScienceUniversity of Warmia and MazuryOlsztynPoland

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