Skip to main content

Generating Optimized Fuzzy Partitions to Classification and Considerations to Management Imprecise Data

  • Conference paper
Computational Intelligence (IJCCI 2010)

Part of the book series: Studies in Computational Intelligence ((SCI,volume 399))

Included in the following conference series:

  • 843 Accesses

Abstract

Many algorithms for classification need to discretize the continuous attributes for their development. Therefore the discretization of continuous attributes is a very important part in data mining. In this paper, we propose a technique for discretizing continuous attributes by means of a series of fuzzy sets which constitute a fuzzy partition of the domain of these attributes. The definition of these sets is very important as it affects the results obtained in the classification algorithms. Throughout this document we present a strategy to construct fuzzy sets in order to improve classification results. Additionally, we give some ideas about how to improve this strategy in order to work with another kinds of data. Also, we show various experimental results which evaluate our proposal in comparison with previously existing ones and where the results have been statistically validated.

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 129.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 169.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 169.99
Price excludes VAT (USA)
  • Durable hardcover 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

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Ait Kbir, M., Maalmi, K., Benslimane, R., Benkirane, H.: Hierarchical fuzzy partition for pattern classification with fuzzy if-then rules. Pattern Recognition Letters 21(6-7), 503–509 (2000)

    Article  Google Scholar 

  2. Asuncion, A., Newman, D.: Uci machine learning repository. University of California, School of Information and Computer Science, http://www.ics.uci.edu/mlearn/MLRepository.html

  3. Au, W.H., Chan, K.C., Wong, A.: A fuzzy approach to partitioning continuous attributes for classification. IEEE Tran. Knowledge and Data Engineering 18(5), 715–719 (2006)

    Article  Google Scholar 

  4. Bezdek, J.: Pattern Recognition with Fuzzy Objective Function Algorithms. Kluwer Academic Publishers, Norwell (1981)

    Book  MATH  Google Scholar 

  5. Catlett, J.: N changing continuous attributes into ordered discrete attributes. In: Fifth European Working Session on Learning, pp. 164–177 (1991)

    Google Scholar 

  6. Cox, E.: Fuzzy Modeling and Genetic Algorithms for Data Mining and Exploration. Morgan Kaufmann Publishers, New York (2005)

    MATH  Google Scholar 

  7. Cox, E., Taber, R., O’Hagan, M.: The Fuzzy Systems Handbook. P. Professional, 2nd edn. (1998)

    Google Scholar 

  8. García, S., Fernández, A., Luengo, J., Herrera, F.: A study statistical techniques and performance measures for genetics-based machine learning: accuracy and interpretability. Soft Computing 13(10), 959–977 (2009)

    Article  Google Scholar 

  9. Holte, R.: Very simple classification rules perform well on most commonly used datasets. Machine Learning 11, 63–90 (1993)

    Article  MATH  Google Scholar 

  10. Li, C.: A combination scheme for fuzzy partitions based on fuzzy majority voting rule. In: International Conference on Networks Security, Wireless Communications and Trusted Computing, vol. 2, pp. 675–678 (2009)

    Google Scholar 

  11. Li, C., Wang, Y., Dai, H.: A combination scheme for fuzzy partitions based on fuzzy weighted majority voting rule. In: International Conference on Digital Image Processing, pp. 3–7 (2009)

    Google Scholar 

  12. Liu, H., Hussain, F., Tan, C., Dash, M.: Discretization: an enabling technique. Journal of Data Mining and Knowledge Discovery 6(4), 393–423 (2002)

    Article  MathSciNet  Google Scholar 

  13. Piero, P., Arco, L., García, M., Acevedo, L.: Algoritmos genéticos en la construcción de funciones de pertenencia borrosas. Revista Iberoamericana de Inteligencia Artificial 18, 25–35 (2003)

    Google Scholar 

  14. Quilan, J.: C4.5: Programs for Machine Learning. Morgan Kaufmann Publishers, San Francisco (1993)

    Google Scholar 

  15. R Project: Language and environment for statistical computing and graphics. R Foundation, http://www.r-project.org

  16. Wang, X., Kerre, E.E.: Reasonable propierties for the ordering of fuzzy quantities (I-II). Fuzzy Sets and Systems 118, 375–405 (2001)

    Article  MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to J. M. Cadenas .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2012 Springer-Verlag GmbH Berlin Heidelberg

About this paper

Cite this paper

Cadenas, J.M., Garrido, M.C., Martínez, R. (2012). Generating Optimized Fuzzy Partitions to Classification and Considerations to Management Imprecise Data. In: Madani, K., Dourado Correia, A., Rosa, A., Filipe, J. (eds) Computational Intelligence. IJCCI 2010. Studies in Computational Intelligence, vol 399. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-27534-0_10

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-27534-0_10

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-27533-3

  • Online ISBN: 978-3-642-27534-0

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics