Skip to main content

A Fuzzy-Rough Sets Based Compact Rule Induction Method for Classifying Hybrid Data

  • Conference paper

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 7414))

Abstract

Rule induction plays an important role in knowledge discovery process. Rough set based rule induction algorithms are characterized by excellent accuracy, but they lack the abilities to deal with hybrid attributes such as numeric or fuzzy attributes. In real-world applications, data usually exists with hybrid formats, and thus a unified rule induction algorithm for hybrid data learning is desirable. We firstly model different types of attributes in equivalence relationship, and define the key concepts of block, minimal complex and local covering based on fuzzy rough sets model, then propose a rule induction algorithm for hybrid data learning. Furthermore, in order to estimate performance of the proposed method, we compare it with state-of-the-art methods for hybrid data learning. Comparative studies indicate that rule sets extracted by this method can not only achieve comparable accuracy, but also get more compact rule sets. It is therefore concluded that the proposed method is effective for hybrid data learning.

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

Buying options

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Gebus, S., Leiviska, K.: Knowledge acquisition for decision support systems on an electronic assembly line. Expert Systems with Applications 36(1), 93–101 (2009)

    Article  Google Scholar 

  2. Quinlan, J.: Induction of decision trees. Machine Learning 1, 81–106 (1986)

    Google Scholar 

  3. Garcıa, S., Fernandez, A., Herrera, F.: Enhancing the effectiveness and interpretability of decision tree and rule induction classifiers with evolutionary training set selection over imbalanced problems. Applied Soft Computing 9(4), 1304–1314 (2009)

    Article  Google Scholar 

  4. Grzymala-Busse, J.W., Marepally, S.R., Yao, Y.: 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.) RSCTC 2010. LNCS, vol. 6086, pp. 590–599. Springer, Heidelberg (2010)

    Chapter  Google Scholar 

  5. Pawlak, Z., Skowron, A.: Rudiments of rough sets. Information Science 177(1), 3–27 (2007)

    Article  MathSciNet  MATH  Google Scholar 

  6. Hu, Q., Xie, Z., Yu, D.: Hybrid attribute reduction based on a novel fuzzy-rough model and information granulation. Pattern Recognition 40(12), 3509–3521 (2007)

    Article  MATH  Google Scholar 

  7. Blajdo, P., Hippe, Z., Mroczek, T., Grzymala-Busse, J., Knap, M., Piatek, L.: An Extended Comparison of Six Approaches to Discretization–A Rough Set Approach. Fundamenta Informaticae 94(2), 121–131 (2009)

    MathSciNet  Google Scholar 

  8. Grzymala-Busse, J.W.: Mining Numerical Data – A Rough Set Approach. In: Peters, J.F., Skowron, A. (eds.) Transactions on Rough Sets XI. LNCS, vol. 5946, pp. 1–13. Springer, Heidelberg (2010)

    Chapter  Google Scholar 

  9. Dubois, D., Prade, H.: Rough fuzzy sets and fuzzy rough sets. International Journal of General Systems 17(2-3), 191–209 (1990)

    Article  MATH  Google Scholar 

  10. Jensen, R., Cornelis, C., Shen, Q.: Hybrid fuzzy-rough rule induction and feature selection. In: IEEE International Conference on Fuzzy Systems, pp. 1151–1156 (2009)

    Google Scholar 

  11. Bhatt, R.B., Gopal, M.: On the compact computational domain of fuzzy-rough sets. Pattern Recognition Letters 26(11), 1632–1640 (2005)

    Article  Google Scholar 

  12. Kurgan, L.A., Cios, K.J., Dick, S.: Highly scalable and robust rule learner: Performance evaluation and comparison. IEEE Transactions on Systems Man and Cybernetics 36, 32–53 (2006)

    Article  Google Scholar 

  13. Kurgan, L.A., Cios, K.J.: CAIM discretization algorithm. IEEE Transactions on Data and Knowldge Engineering 16(2), 145–153 (2004)

    Article  Google Scholar 

  14. Frank, A., Asuncion, A.: UCI machine learning repository (2010), http://archive.ics.uci.edu/ml

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2012 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Liu, Y., Zhou, Q., Rakus-Andersson, E., Bai, G. (2012). A Fuzzy-Rough Sets Based Compact Rule Induction Method for Classifying Hybrid Data. In: Li, T., et al. Rough Sets and Knowledge Technology. RSKT 2012. Lecture Notes in Computer Science(), vol 7414. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-31900-6_9

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-31900-6_9

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-31899-3

  • Online ISBN: 978-3-642-31900-6

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics