Skip to main content

Probabilistic rough induction: The GDT-RS methodology and algorithms

  • Communications
  • Conference paper
  • First Online:
Foundations of Intelligent Systems (ISMIS 1999)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 1609))

Included in the following conference series:

Abstract

In this paper, we introduce a probabilistic rough induction methodology and discuss two algorithms for its implementation. This methodology is based on the combination of Generalization Distribution Table (GDT) and the Rough Set theory (GDT-RS for short). A GDT is a table in which the probabilistic relationships between concepts and instances over discrete domains are represented. The GDT provides a probabilistic basis for evaluating the strength of a rule. The rough set theory is used to find minimal relative reducts from the set of rules with larger strength. Main features of the GDT-RS are (1) biases can be selected flexibly for search control, and background knowledge can be used as a bias to control the creation of a GDT and the rule induction process; (2) the uncertainty of a rule including the prediction of possible instances can be represented explicitly in the strength of the rule.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. J. Han, et al. Data-Driven Discovery of Quantitative Rules in Relational Databases IEEE Trans. Knowl. Data Eng., Vol. 5 (No. 1) (1993) 29–40.

    Article  Google Scholar 

  2. T.M. Mitchell. Version Spaces: A Candidate Elimination Approach to Rule Learning. Proc. 5th Int. Joint Conf. Artificial Intelligence (1977) 305–310.

    Google Scholar 

  3. A. Skowron and C. Rauszer. The discernibility matrics and functions in information systems, Intelligent Decision Support (1992) 331–362.

    Google Scholar 

  4. A. Skowron and L. Polkowski, Synthesis of Decision Systems from Data Tables, in T.Y. Lin and N. Cercone (eds.), Rough Sets and Data Mining: Analysis of Imprecise Data, Kluwer (1997) 259–299.

    Google Scholar 

  5. Z. Pawlak. ROUGH SETS, Theoretical Aspects of Reasoning about Data, Kluwer Academic Publishers (1991).

    Google Scholar 

  6. J.R. Quinlan, Induction of Decision Trees. Machine Learning, 1 (1986) 81–106.

    Google Scholar 

  7. J.R. Quinlan, C4.5: Programs for Machine Learning (1993).

    Google Scholar 

  8. N. Zhong and S. Ohsuga, Using Generalization Distribution Tables as a Hypotheses Search Space for Generalization. Proc. 4th International Workshop on Rough Sets, Fuzzy Sets, and Machine Discovery (RSFD-96) (1996) 396–403.

    Google Scholar 

  9. N. Zhong, J.Z. Dong, and S. Ohsuga, “Using Rough Sets with Heuristics to Feature Selection” (to appear).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Zbigniew W. Raś Andrzej Skowron

Rights and permissions

Reprints and permissions

Copyright information

© 1999 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Dong, J., Zhong, N., Ohsuga, S. (1999). Probabilistic rough induction: The GDT-RS methodology and algorithms. In: Raś, Z.W., Skowron, A. (eds) Foundations of Intelligent Systems. ISMIS 1999. Lecture Notes in Computer Science, vol 1609. Springer, Berlin, Heidelberg . https://doi.org/10.1007/BFb0095151

Download citation

  • DOI: https://doi.org/10.1007/BFb0095151

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-65965-5

  • Online ISBN: 978-3-540-48828-6

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics