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An Empirical Comparison of Rule Sets Induced by LERS and Probabilistic Rough Classification

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Rough Sets and Current Trends in Computing (RSCTC 2010)

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Abstract

In this paper we present results of an experimental comparison (in terms of an error rate) of rule sets induced by the LERS data mining system with rule sets induced using the probabilistic rough classification (PRC). As follows from our experiments, the performance of LERS (possible rules) is significantly better than the best rule sets induced by PRC with any threshold (two-tailed test, 5% significance level). Additionally, the LERS possible rule approach to rule induction is significantly better than the LERS certain rule approach (two-tailed test, 5% significance level).

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References

  1. Pawlak, Z.: Rough classification. International Journal of Human-Computer Studies 51, 369–383 (1999)

    Article  Google Scholar 

  2. Grzymala-Busse, J.W.: Knowledge acquisition under uncertainty—A rough set approach. Journal of Intelligent & Robotic Systems 1, 3–16 (1988)

    Article  MathSciNet  Google Scholar 

  3. Grzymala-Busse, J.W.: Managing uncertainty in machine learning from examples. In: Proceedings of the Third Intelligent Information Systems Workshop, pp. 70–84 (1994)

    Google Scholar 

  4. Grzymala-Busse, J.W.: A new version of the rule induction system LERS. Fundamenta Informaticae 31, 27–39 (1997)

    MATH  Google Scholar 

  5. Stefanowski, J.: Algorithms of Decision Rule Induction in Data Mining. Poznan University of Technology Press, Poznan (2001)

    Google Scholar 

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

    MATH  Google Scholar 

  7. Yao, Y.Y.: Probabilistic rough set approximations. International Journal of Approximation Reasonong 49, 255–271 (2008)

    Article  MATH  Google Scholar 

  8. Ziarko, W.: Probabilistic approach to rough sets. International Journal of Approximate Reasoning 49, 272–284 (2008)

    Article  MATH  MathSciNet  Google Scholar 

  9. Grzymala-Busse, J.W., Ziarko, W.: Data mining based on rough sets. In: Wang, J. (ed.) Data Mining: Opportunities and Challenges, pp. 142–173. Idea Group Publ., Hershey (2003)

    Google Scholar 

  10. Yao, Y.Y.: Interpreting concept learning in cognitive informatics and granular computing. IEEE Transactions on System, Man and Cybernetics B 39, 855–866 (2009)

    Google Scholar 

  11. Mitchell, T.M.: Generalization as search. Artificial Intelligence 18, 203–226 (1982)

    Article  MathSciNet  Google Scholar 

  12. Yao, Y.Y., Wong, S.K.M.: A decision theoretic framework for approximate concepts. International Journal of Man-Machine Studies 37, 103–119 (1996)

    Google Scholar 

  13. Ziarko, W.: Variable precision rough set model. Journal of Computer and System Sciences 46(1), 39–59 (1993)

    Article  MATH  MathSciNet  Google Scholar 

  14. Grzymala-Busse, J.W.: MLEM2: A new algorithm for rule induction from imperfect data. In: Proceedings of the 9th International Conference on Information Processing and Management of Uncertainty in Knowledge-Based Systems, pp. 243–250 (2002)

    Google Scholar 

  15. Grzymala-Busse, J.W., Yao, Y.: A comparison of the LERS classification system and rule management in PRSM. In: Chan, C.-C., Grzymala-Busse, J.W., Ziarko, W.P. (eds.) RSCTC 2008. LNCS (LNAI), vol. 5306, pp. 202–210. Springer, Heidelberg (2008)

    Chapter  Google Scholar 

  16. Grzymala-Busse, J.W.: LERS—a system for learning from examples based on rough sets. In: Slowinski, R. (ed.) Intelligent Decision Support. Handbook of Applications and Advances of the Rough Set Theory, pp. 3–18. Kluwer Academic Publishers, Dordrecht (1992)

    Google Scholar 

  17. Chan, C.C., Grzymala-Busse, J.W.: On the attribute redundancy and the learning programs ID3, PRISM, and LEM2. Technical report, Department of Computer Science, University of Kansas (1991)

    Google Scholar 

  18. Booker, L.B., Goldberg, D.E., Holland, J.F.: Classifier systems and genetic algorithms. In: Carbonell, J.G. (ed.) Machine Learning. Paradigms and Methods, pp. 235–282. MIT Press, Boston (1990)

    Google Scholar 

  19. Holland, J.H., Holyoak, K.J., Nisbett, R.E.: Induction. Processes of Inference, Learning, and Discovery. MIT Press, Boston (1986)

    Google Scholar 

  20. Chmielewski, M.R., Grzymala-Busse, J.W.: Global discretization of continuous attributes as preprocessing for machine learning. International Journal of Approximate Reasoning 15(4), 319–331 (1996)

    Article  MATH  Google Scholar 

  21. Chao, L.L.: Introduction to Statistics. Brooks Cole Publishing Co., Monterey (1980)

    MATH  Google Scholar 

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Grzymala-Busse, J.W., Marepally, S.R., Yao, Y. (2010). An Empirical Comparison of Rule Sets Induced by LERS and Probabilistic Rough Classification. In: Szczuka, M., Kryszkiewicz, M., Ramanna, S., Jensen, R., Hu, Q. (eds) Rough Sets and Current Trends in Computing. RSCTC 2010. Lecture Notes in Computer Science(), vol 6086. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-13529-3_63

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  • DOI: https://doi.org/10.1007/978-3-642-13529-3_63

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-13528-6

  • Online ISBN: 978-3-642-13529-3

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