Approximation Spaces in Rough Neurocomputing

  • Andrzej Skowron
Part of the Studies in Fuzziness and Soft Computing book series (STUDFUZZ, volume 125)

Abstract

In the paper we discuss approximation spaces relevant for rough-neuro computing.

Keywords

rough sets rough mereology information granulation information granules rough neurocomputing 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    P. Doherty, W. Lukaszewicz, A. Skowron, and A. Szalas. Combining rough and crisp knowledge in deductive databases. 2001 (submitted to [4]).Google Scholar
  2. 2.
    T.M. Mitchell. Machine Learning. Mc Graw-Hill, Portland, 1997.MATHGoogle Scholar
  3. 3.
    S.K. Pal, W. Pedrycz, A. Skowron, and R. Swiniarski, editors. Rough-Neuro Computing (special issue), volume 36. Elsevier, 2001.Google Scholar
  4. 4.
    S.K. Pal, L. Polkowski, and A. Skowron, editors. Rough-Neuro Computing: Techniques for Computing with Words. Springer-Verlag, Berlin, 2002. (in preparation).MATHGoogle Scholar
  5. 5.
    Z. Pawlak. Rough Sets. Theoretical Aspects of Reasoning about Data. Kluwer Academic Publishers, Dordrecht, 1991.MATHGoogle Scholar
  6. 6.
    L. Polkowski and A. Skowron. Rough mereology: a new paradigm for approximate reasoning. International J. Approximate Reasoning, 15/4:333–365, 1996.MathSciNetMATHCrossRefGoogle Scholar
  7. 7.
    L. Polkowski and A. Skowron, editors. Rough Sets in Knowledge Discovery Vol.1–2, Physica-Verlag, Heidelberg, 1998.Google Scholar
  8. 8.
    L. Polkowski and A. Skowron. Towards adaptive calculus of granules. In [17], pages 201–227, 1999.Google Scholar
  9. 9.
    L. Polkowski and A. Skowron. Rough-neuro computing. Lecture Notes in Artificial Intelligence, pages 25–32, 2001.Google Scholar
  10. 10.
    A. Skowron. Rough sets in KDD. In Z. Shi, B. Faltings, and M. Musem, editors, 16-th World Computer Congress (IFIP’2000):Proceedings of Conference on Intelligent Information Processing (IIP2000), pages 1–17, Beijing, 2000. Publishing House of Electronic Industry. (plenary talk).Google Scholar
  11. 11.
    A. Skowron. Toward intelligent systems: Calculi of information granules. Bulletin of the International Rough Set Society, 5/1–2:9–30, 2001.Google Scholar
  12. 12.
    A. Skowron and J. Stepaniuk. Tolerance approximation spaces. Fundamenta Informaticae, 27:245–253, 1996.MathSciNetMATHGoogle Scholar
  13. 13.
    A. Skowron and J. Stepaniuk. Information granules: Towards foundations of granular computing. International Journal of Intelligent Systems, 16/1:57–86, 2001.MATHCrossRefGoogle Scholar
  14. 14.
    L.A. Zadeh. Fuzzy logic = computing with words. IEEE Trans. on Fuzzy Systems, 4:103–111, 1996.CrossRefGoogle Scholar
  15. 15.
    L.A. Zadeh. Toward a theory of fuzzy information granulation and its certainty in human reasoning and fuzzy logic. Fuzzy Sets and Systems, 90:111–127, 1997.MathSciNetMATHCrossRefGoogle Scholar
  16. 16.
    L.A. Zadeh. A new direction in ai: Toward a computational theory of perceptions. AI Magazine, 22/1:73–84, 2001.Google Scholar
  17. 17.
    L.A. Zadeh and J. Kacprzyk, editors. Computing with Words in Information/Intelligent Systems, volume 1–2. Physica-Verlag, Heidelberg, 1999.Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2003

Authors and Affiliations

  • Andrzej Skowron
    • 1
  1. 1.Institute of MathematicsWarsaw UniversityWarsawPoland

Personalised recommendations