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Part of the book series: Advances in Soft Computing ((AINSC,volume 28))

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Summary

In this paper we discuss tolerance information granule systems. We present examples of information granules and we consider two kinds of basic relations between them, namely inclusion and closeness. The relations between more complex information granules can be defined by extension of the relations defined on parts of information granules. In many application areas related to knowledge discovery in databases there is a need for algorithmic methods making it possible to discover relevant information granules. Examples of SQL implementations of discussed algorithms are included.

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References

  1. Dakowicz M., Stepaniuk J.: Tolerance Rough Sets and Data Base Management Systems, Proceedings of Concurrency, Specification and Programming Workshop, Czarna, Poland, September 25–27, 2003, 108–119.

    Google Scholar 

  2. Garcia-Molina H., Ullman J., Widom J.: Database Systems: The Complete Book, Prentice Hall, 2002.

    Google Scholar 

  3. Kloesgen W., Żytkow J. (Eds.): Handbook of Knowledge Discovery and Data Mining, Oxford University Press, Oxford, 2002.

    Google Scholar 

  4. Krawiec K., Slowinski R., Vanderpooten D.: Learning of Decision Rules from Similarity Based Rough Approximations. In: Skowron A., Polkowski L. (Eds.) Rough Sets in Knowledge Discovery. Physica Verlag, Heidelberg, 1998, 37–54.

    Google Scholar 

  5. Łukasiewicz J.: Die logischen grundlagen der wahrscheinilchkeitsrechnung, Krakow 1913. In Borkowski L., ed.: Jan Lukasiewicz-Selected Works. North Holland Publishing Company, Amstardam, London, Polish Scientific Publishers, Warsaw, 1970.

    Google Scholar 

  6. Pal S.K., Polkowski L., Skowron A. (Eds.): Rough-Neural Computing: Techniques for Computing with Words. Springer-Verlag, Berlin, 2004.

    Google Scholar 

  7. Pawlak Z.: Rough Sets. Theoretical Aspects of Reasoning about Data, Kluwer Academic Publishers, Dordrecht, 1991.

    Google Scholar 

  8. Skowron A., Stepaniuk J.: Generalized Approximation Spaces, Proceedings of the Third International Workshop on Rough Sets and Soft Computing, November 10–12, 1994, San Jose, California, USA, 18–21.

    Google Scholar 

  9. Skowron A., Stepaniuk J.: Tolerance Approximation Spaces, Fundamenta Informaticae, vol. 27(2,3), 1996, 245–253.

    MATH  MathSciNet  Google Scholar 

  10. SQL standards: http://www.jcc.com/SQLPages/jccs_sql.htm.

    Google Scholar 

  11. Stepaniuk J.: Optimizations of Rough Set Model, Fundamenta Informaticae vol. 36(2–3), 1998, 265–283.

    MATH  MathSciNet  Google Scholar 

  12. Stepaniuk J.: Knowledge Discovery by Application of Rough Set Models, L. Polkowski, S. Tsumoto, T.Y. Lin (Eds.), Rough Set Methods and Applications. New Developments in Knowledge Discovery in Information Systems, Physica-Verlag, Heidelberg, 2000, 137–233.

    Google Scholar 

  13. Zadeh L.A.: Toward a theory of fuzzy information granulation and its certainty in human reasoning and fuzzy logic. Fuzzy Sets and Systems 90, 1997, 111–127.

    Article  MATH  MathSciNet  Google Scholar 

  14. Zadeh L.A.: A new direction in AI: Toward a computational theory of perceptions. AI Magazine 22(1), 2001, 73–84.

    Google Scholar 

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© 2005 Springer-Verlag Berlin Heidelberg

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Stepaniuk, J. (2005). Tolerance Information Granules. In: Monitoring, Security, and Rescue Techniques in Multiagent Systems. Advances in Soft Computing, vol 28. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-32370-8_23

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  • DOI: https://doi.org/10.1007/3-540-32370-8_23

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-23245-2

  • Online ISBN: 978-3-540-32370-9

  • eBook Packages: EngineeringEngineering (R0)

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