Skip to main content

The Use of Fuzzy t-Conorm Integral for Combining Classifiers

  • Conference paper

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 4724))

Abstract

Choquet or Sugeno fuzzy integrals are commonly used for aggregating the results of different classifiers. However, both these integrals belong to a more general class of fuzzy t-conorm integrals. In this paper, we describe a framework of a fuzzy t-conorm integral and its use for combining classifiers. We show the advantages of this approach to classifier combining in several benchmark tests.

The research reported in this paper was partially supported by the Program “Information Society” under project 1ET100300517 (D. Štefka) and the grant No. 201/05/0325 of the Grant Agency of the Czech Republic (M. Holeňa), and partially supported by the Institutional Research Plan AV0Z10300504.

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   84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   109.99
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. Murofushi, T., Sugeno, M.: Fuzzy t-conorm integral with respect to fuzzy measures: Generalization of Sugeno integral and Choquet integral. Fuzzy Sets and Systems 42(1), 57–71 (1991)

    Article  MathSciNet  MATH  Google Scholar 

  2. Melnik, O., Vardi, Y., Zhang, C.H.: Mixed group ranks: Preference and confidence in classifier combination. IEEE Transactions on Pattern Analysis and Machine Intelligence 26(8), 973–981 (2004)

    Article  Google Scholar 

  3. Kuncheva, L.I., Bezdek, J.C., Duin, R.P.W.: Decision templates for multiple classifier fusion: an experimental comparison. Pattern Recognition 34(2), 299–314 (2001)

    Article  MATH  Google Scholar 

  4. Breiman, L.: Bagging predictors. Machine Learning 24(2), 123–140 (1996)

    MATH  Google Scholar 

  5. Freund, Y., Schapire, R.E.: Experiments with a new boosting algorithm. In: International Conference on Machine Learning, pp. 148–156 (1996)

    Google Scholar 

  6. Bay, S.D.: Nearest neighbor classification from multiple feature subsets. Intelligent Data Analysis 3(3), 191–209 (1999)

    Article  Google Scholar 

  7. Kittler, J., Hatef, M., Duin, R.P.W., Matas, J.: On combining classifiers. IEEE Trans. Pattern Anal. Mach. Intell. 20(3), 226–239 (1998)

    Article  Google Scholar 

  8. Kuncheva, L.I.: Fuzzy versus nonfuzzy in combining classifiers designed by boosting. IEEE Transactions on Fuzzy Systems 11(6), 729–741 (2003)

    Article  Google Scholar 

  9. Ahmadzadeh, M.R., Petrou, M.: Use of Dempster-Shafer theory to combine classifiers which use different class boundaries. Pattern Anal. Appl. 6(1), 41–46 (2003)

    Article  MathSciNet  MATH  Google Scholar 

  10. Grabisch, M., Nguyen, H.T.: Fundamentals of Uncertainty Calculi with Applications to Fuzzy Inference. Kluwer Academic Publishers, Norwell (1994)

    MATH  Google Scholar 

  11. Chiang, J.H.: Aggregating membership values by a Choquet-fuzzy-integral based operator. Fuzzy Sets Syst 114(3), 367–375 (2000)

    Article  MathSciNet  MATH  Google Scholar 

  12. Klement, E.P., Mesiar, R., Pap, E.: Triangular Norms. Kluwer Academic Publishers, Dordrecht (2000)

    Book  MATH  Google Scholar 

  13. Duda, R.O., Hart, P.E., Stork, D.G.: Pattern Classification, 2nd edn. Wiley, Chichester (2000)

    MATH  Google Scholar 

  14. Elena database: http://www.dice.ucl.ac.be/mlg/?page=Elena

  15. Newman, D.J., Hettich, S., Merz, C.B.: UCI repository of machine learning databases (1998), http://www.ics.uci.edu/~mlearn/MLRepository.html

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2007 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Štefka, D., Holeňa, M. (2007). The Use of Fuzzy t-Conorm Integral for Combining Classifiers. In: Mellouli, K. (eds) Symbolic and Quantitative Approaches to Reasoning with Uncertainty. ECSQARU 2007. Lecture Notes in Computer Science(), vol 4724. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-75256-1_66

Download citation

  • DOI: https://doi.org/10.1007/978-3-540-75256-1_66

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-75255-4

  • Online ISBN: 978-3-540-75256-1

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics