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LEM3 Algorithm Generalization Based on Stochastic Approximation Space

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Rough Sets and Current Trends in Computing (RSCTC 2000)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 2005))

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Abstract

This work introduces a generalization of the algorithm LEM3, an incremental learning system of production rules from examples, based on the Boolean Approximation Space introduced by Pawlak. The generalization is supported in the Stochastic Approximation Space introduced by Wong and Ziarko. In this paper, stochastic limits in the precision of the upper and lower approximations of a class are addressed. These allow the generation of certain rules with a certainty level β(0.5≤β≤1) Also the modifications in LEM3 necessary in order to handle examples with missing attribute values are introduced.

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References

  1. Pawlak, Z.: Information Systems, Theoretical Foundations. Inf. Syst. 6 3 (1981) 205–218

    Article  MATH  MathSciNet  Google Scholar 

  2. Wong, S.K.M., Ziarko, W.: INFER-An Adaptative Decision Support System Based on the Probabilistic Approximate Classsification. In Proc. 6th Int. Workshop on Expert Systems and their Applications (1986) 713–7262

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  3. Pawlak, Z.: Theoretical Aspects of Reasoning about Data. Kluwer Academic Publishers. Dordrecht, Boston, London (1991)

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  4. Chan, C.C.: Incremental Learning of Production Rules from Examples under Uncertainty: A Rough Set Approach. Int. J. of Software Engineering and Knowledge Engineering 1 4(1991) 439–461

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  5. Grzymala-Busse, J.W.: A New Version of the Rule Induction System LERS. Fundamenta Informaticae 31 (1997) 27–39

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  6. Grzymala-Busse, J.W.: Knowledge acquisition under Uncertainty: A Rough Sets Approach. J. Intell. Robotic Syst. 1 (1998) 3–16

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© 2001 Springer-Verlag Berlin Heidelberg

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Fernández-Baizán, M.C., Pérez-Llera, C., Feito-García, J., Almeida, A. (2001). LEM3 Algorithm Generalization Based on Stochastic Approximation Space. In: Ziarko, W., Yao, Y. (eds) Rough Sets and Current Trends in Computing. RSCTC 2000. Lecture Notes in Computer Science(), vol 2005. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-45554-X_34

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  • DOI: https://doi.org/10.1007/3-540-45554-X_34

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-43074-2

  • Online ISBN: 978-3-540-45554-7

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