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Rule Induction: Combining Rough Set and Statistical Approaches

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Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 5306))

Abstract

In this paper we propose the hybridisation of the rough set concepts and statistical learning theory. We introduce new estimators for rule accuracy and coverage, which base on the assumptions of the statistical learning theory. Then we construct classifier which uses these estimators for rule induction. These estimators allow us to select rules describing statistically significant dependencies in data. We test our classifier on benchmark datasets and show its applications for KDD.

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References

  1. Asuncion, A., Newman, D.J.: UCI Machine Learning Repository. University of California, School of Information and Computer Science, Irvine (2007), http://www.ics.uci.edu/~mlearn/MLRepository.html

    Google Scholar 

  2. Gediga, G., Düntsch, I.: Statistical techniques for rough set data analysis. In: Polkowski, L., et al. (eds.) Rough set methods and applications: New developments in knowledge discovery in information systems, pp. 545–565. Physica Verlag, Heidelberg (2000)

    Chapter  Google Scholar 

  3. Guillet, F., Hamilton, H.J. (eds.): Quality Measures in Data Mining. Studies in Computational Intelligence, vol. 43. Springer, Heidelberg (2007)

    MATH  Google Scholar 

  4. Jaworski, W.: Model Selection and Assessment for Classification Using Validation. In: Ślȩzak, D., et al. (eds.) RSFDGrC 2005. LNCS (LNAI), vol. 3641, pp. 481–490. Springer, Heidelberg (2005)

    Chapter  Google Scholar 

  5. Jaworski, W.: Bounds for Validation. Fundamenta Informaticae 70(3), 261–275 (2006)

    MathSciNet  MATH  Google Scholar 

  6. Hoeffding, W.: Probability Inequalities for Sums of Bounded Random Variables. Journal of the American Statistical Association 58, 13–30 (1963)

    Article  MathSciNet  MATH  Google Scholar 

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

    MATH  Google Scholar 

  8. Pawlak, Z., Skowron, A.: Rough sets: Some extensions. Information Sciences 177(1), 28–40 (2007)

    Article  MathSciNet  MATH  Google Scholar 

  9. Skowron, A., Swiniarski, R., Synak, P.: Approximation spaces and information granulation. In: Peters, J.F., Skowron, A. (eds.) Transactions on Rough Sets III. LNCS, vol. 3400, pp. 175–189. Springer, Heidelberg (2005)

    Chapter  Google Scholar 

  10. Tsumoto, S.: Accuracy and Coverage in Rough Set Rule Induction. In: Alpigini, J.J., Peters, J.F., Skowron, A., Zhong, N. (eds.) RSCTC 2002. LNCS (LNAI), vol. 2475, pp. 373–380. Springer, Heidelberg (2002)

    Chapter  Google Scholar 

  11. Vapnik, V.N.: Statistical Learning Theory. Wiley, New York (1998)

    MATH  Google Scholar 

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© 2008 Springer-Verlag Berlin Heidelberg

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Jaworski, W. (2008). Rule Induction: Combining Rough Set and Statistical Approaches. In: Chan, CC., Grzymala-Busse, J.W., Ziarko, W.P. (eds) Rough Sets and Current Trends in Computing. RSCTC 2008. Lecture Notes in Computer Science(), vol 5306. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-88425-5_18

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  • DOI: https://doi.org/10.1007/978-3-540-88425-5_18

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-88423-1

  • Online ISBN: 978-3-540-88425-5

  • eBook Packages: Computer ScienceComputer Science (R0)

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