Skip to main content

Rough Evolutionary Fuzzy System Based on Interactive T-Norms

  • Conference paper
Advances in Artificial Intelligence – IBERAMIA 2008 (IBERAMIA 2008)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 5290))

Included in the following conference series:

  • 1316 Accesses

Abstract

A rough evolutionary neuro-fuzzy system for classification and rule generation is proposed. Interactive and differentiable t-norms and t-conorms involving logical neurons in a three-layer perceptron are used. This paper presents the results of application of the methodology based on rough set theory, which initializes the number of hidden nodes and some of the weight values. In search of the smallest network with a good generalization capacity, the genetic algorithms operate on population of individuals composed by integration of dependency rules that will be mapped on networks. Justification of an inferred decision was produced in rule form expressed as the disjunction of conjunctive clauses. The effectiveness of the algorithm is demonstrated on a speech recognition problem. The results are compared with those of fuzzy-MLP and Rough-Fuzzy-MLP, with no logical neuron; the Logical-P, which uses product and probabilistic sum; and other related models.

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 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

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Klösgen, W., Zytkow, J.M.: Handbook of Data Mining and Knowledge Discovery. Cap. 10 by Witold Pedrycz, 1st edn. Oxford University Press, New York (2002)

    Google Scholar 

  2. Mitra, S., Pal, S.K.: Logical Operation Based Fuzzy MLP for Classification and Rule Generation. Neural Networks 7(2), 683–697 (1994)

    Article  Google Scholar 

  3. Banerjee, M., Mitra, S., Pal, S.K.: Rough Fuzzy MLP: Knowledge Encoding and Classification. IEEE Transactions On Neural Networks 9(6), 1203–1216 (1998)

    Article  Google Scholar 

  4. Zanusso, M.B.: Familias de T-Normas Diferenciáveis, Funções de Pertinência Relacionadas e Aplicações. Universidade Federal de Santa Catarina. Tese de Doutorado, Brasil (November 1997)

    Google Scholar 

  5. Oliveira, F.R., Zanusso, M.B.: A Fuzzy Neural Network with Differentiable T-Norms: Classification and Rule Generation. In: International Conference on Artificial Intelligence(ICAI), Las Vegas, Nevada, June 27-30, vol. I(1), pp. 195–201 (2005)

    Google Scholar 

  6. Oliveira, F.R.: Rede Neural Difusa com T-normas Diferenciáveis e Interativas. Universidade Federal de Mato Grosso do Sul, Dissertação de Mestrado, Brasil, Novembro (2006)

    Google Scholar 

  7. Schweizer, B., Sklar, M.: Associative Functions and Statistical Inequalities. Publ. Math. Debrecen 8(1), 169–186 (1961)

    MATH  MathSciNet  Google Scholar 

  8. Klir, G.J., Folger, T.A.: Fuzzy Sets, Uncertainty and Information. Prentice Hall, New Jersey (1988)

    MATH  Google Scholar 

  9. Klir, G.J., Yuan, B.: Fuzzy Sets and Fuzzy Logic: Theory and Applications. Prentice Hall, New Jersey (1995)

    MATH  Google Scholar 

  10. Pal, S.K., Mitra, S.: Multilayer Perceptron, Fuzzy Sets, and Classification. IEEE Transactions on Neural Networks 3(5), 683–697 (1992)

    Article  Google Scholar 

  11. Lovón, G.L.M.: Rough Sets e Algoritmo Genético para Inicializar um Sistema Neuro-Fuzzy. Universidade Federal de Mato Grosso do Sul. Dissertação de Mestrado, Brasil (April 2007)

    Google Scholar 

  12. Lovón, G.L.M., Zanusso, M.B.: Rough Sets e Algoritmo Genético para Inicializar um Sistema Neuro-Fuzzy. In: XXXIII Conferencia Latinoamericana en Informática, San José, Costa Rica (2007)

    Google Scholar 

  13. Pawlak, Z.: Rough Sets - Theoretical Aspects of Reasoning about Data. Kluwer Academic Publishers, Dordrecht (1991)

    MATH  Google Scholar 

  14. Zanusso, M.B., Araújo, A.: Differentiable T-Norms and Related Membership Functions Families and their Applications. In: IBERAMIA-SBIA, November 19-22, vol. 2, pp. 294–303 (2000)

    Google Scholar 

  15. Pedrycz, W., Gomide, F.: An Introduction to Fuzzy Sets - Analysis and Designs, 1st edn. MIT Press, Cambridge (1994)

    Google Scholar 

  16. Pal, S.K., Mitra, P.: Pattern Recognition Algorithms for Data Mining. Chapman/Hall-CRC, New York (2004)

    MATH  Google Scholar 

  17. Nauck, D., Klawonn, F., Kruse, R.: Neuro-Fuzzy Systems. John Wiley and Sons, New York (1997)

    Google Scholar 

  18. Indian Statistical Institute, Calcutta, http://www.isical.ac.in/~miu

  19. Fisher, R.A. (1936), http://archive.ics.uci.edu/ml/datasets/Iris

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2008 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Lovón, G.L.M., Zanusso, M.B. (2008). Rough Evolutionary Fuzzy System Based on Interactive T-Norms. In: Geffner, H., Prada, R., Machado Alexandre, I., David, N. (eds) Advances in Artificial Intelligence – IBERAMIA 2008. IBERAMIA 2008. Lecture Notes in Computer Science(), vol 5290. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-88309-8_13

Download citation

  • DOI: https://doi.org/10.1007/978-3-540-88309-8_13

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-88308-1

  • Online ISBN: 978-3-540-88309-8

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics