Skip to main content

Descent Rules for Championships

  • Conference paper
  • 1063 Accesses

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 4481))

Abstract

This article proposes alternative classification rules for the clubs in the Brazilian Soccer Championship employing Rough Sets Theory. A feature of the procedure adopted to determine the rough sets is that it allows for attributes associated to intransitive relations. One of such attributes is the result of direct confrontation. The classification procedure follows three stages. First, the condition attributes are ranked according to their importance for the official classification on points. Then the condition attributes are sequentially applied to generate a classification. Finally the result of this sequential classification is compared to the decision partition. The results obtained for different sets of attributes and different years are consistent, with the number of distinct classes obtained increasing with the quality of approximation.

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. Banzhaf, J.F.: Weighted Voting doesn’t work: a Mathematical Analysis. Rutgers Law Review 19, 317–343 (1965)

    Google Scholar 

  2. Clark, P., Nibblett, T.: The CN2 Induction Algorithm. Machine Learning Journal 3, 261–283 (1989)

    Google Scholar 

  3. Cohen, W.: Fast Effective Rule Induction. In: Proceedings of ICML95, pp. 115–123 (1995)

    Google Scholar 

  4. Greco, S., Matarazzo, B., Slowinski, R.: Fuzzy measures as a technique for rough set analysis. In: Proceedings of the EUFIT’08, vol. 1, pp. 99–103 (1998)

    Google Scholar 

  5. Greco, S., Matarazzo, B., Slowinski, R.: Rough Approximation of a Preference Relation by Dominance Relations. EJOR 119, 63–83 (1999)

    Article  Google Scholar 

  6. Quinlan, J.R.: C4.5: Programs for Machine Learning. Morgan Kaufmann, San Francisco (1993)

    Google Scholar 

  7. Sai, Y., Yao, Y.Y., Zhong, N.: Data analysis and mining in ordered information tables. In: Proceedings of the IEEE ICDM, pp. 497–504 (2001)

    Google Scholar 

  8. Sant’Anna, A.P.: Probabilistic Indices of Quality of Approximation. In: Rough Computing: Theories, Technologies and Applications, Idea Group Inc, Hershey (2007)

    Google Scholar 

  9. Sant’Anna, A.P., Sant’Anna, L.A.F.P.: A Probabilistic Approach to Evaluate the Exploitation of the Geographic Situation of Hydroelectric Plants. In: Proceedings of ORMMES’06 (2006)

    Google Scholar 

  10. Shapley, L.: A value for n-person games. In: Kuhn, H., Tucker, A. (eds.) Contributions to the Theory of Games II, pp. 307–317. Princeton University Press, Princeton (1953)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

JingTao Yao Pawan Lingras Wei-Zhi Wu Marcin Szczuka Nick J. Cercone Dominik Ślȩzak

Rights and permissions

Reprints and permissions

Copyright information

© 2007 Springer Berlin Heidelberg

About this paper

Cite this paper

Sant’Anna, A.P. (2007). Descent Rules for Championships. In: Yao, J., Lingras, P., Wu, WZ., Szczuka, M., Cercone, N.J., Ślȩzak, D. (eds) Rough Sets and Knowledge Technology. RSKT 2007. Lecture Notes in Computer Science(), vol 4481. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-72458-2_68

Download citation

  • DOI: https://doi.org/10.1007/978-3-540-72458-2_68

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-72457-5

  • Online ISBN: 978-3-540-72458-2

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics