Skip to main content

Knowledge Base Learning of Linguistic Fuzzy Rule-Based Systems in a Multi-objective Evolutionary Framework

  • Conference paper
Hybrid Artificial Intelligence Systems (HAIS 2008)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 5271))

Included in the following conference series:

Abstract

We propose a multi-objective evolutionary algorithm to generate a set of fuzzy rule-based systems with different trade-offs between accuracy and complexity. The novelty of our approach resides in performing concurrently learning of rules and learning of the membership functions which define the meanings of the labels used in the rules. To this aim, we represent membership functions by the linguistic 2-tuple scheme, which allows the symbolic translation of a label by considering only one parameter, and adopt an appropriate two-variable chromosome coding. Results achieved by using a modified version of PAES on a real problem confirm the effectiveness of our approach in increasing the accuracy and decreasing the complexity of the solutions in the approximated Pareto front with respect to the single objective-based approach.

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 139.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 179.00
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. Alcalá, R., Alcalá-Fdez, J., Herrera, F.: A proposal for the genetic lateral tuning of linguistic fuzzy systems and its interaction with rule selection. IEEE T. Fuzzy Systems 15(4), 616–635 (2007)

    Article  Google Scholar 

  2. Alcalá, R., Gacto, M.J., Herrera, F., Alcalá-Fdez, J.: A multi-objective genetic algorithm for tuning and rule selection to obtain accurate and compact linguistic fuzzy rule-based systems. Int. J. of Uncertainty, Fuzziness and Knowledge-Based Systems 15(5), 539–557 (2007)

    Article  MATH  Google Scholar 

  3. Casillas, J., Cordón, O., Herrera, F., Magdalena, L. (eds.): Accuracy improvements in linguistic fuzzy modelling. Studies in Fuzziness and Soft Computing, vol. 129. Springer, Heidelberg (2003)

    Google Scholar 

  4. Cococcioni, M., Ducange, P., Lazzerini, B., Marcelloni, F.: A Pareto-based multi-objective evolutionary approach to the identification of mamdani fuzzy systems. Soft Computing 11, 1013–1031 (2007)

    Article  Google Scholar 

  5. Coello, C.A., Van Veldhuizen, D.A., Lamont, G.B.: Evolutionary Algorithms for Solving Multi-Objective Problems. Kluwer Academic Publishers, Dordrecht (2002)

    MATH  Google Scholar 

  6. Cordón, O., Herrera, F., Sánchez, L.: Solving electrical distribution problems using hybrid evolutionary data analysis techniques. Applied Intelligence 10, 5–24 (1999)

    Article  Google Scholar 

  7. Eshelman, L.J., Schaffer, J.D.: Real-coded genetic algorithms and interval-schemata. In: Foundations of Genetic Algorithms, vol. 2, pp. 187–202 (1993)

    Google Scholar 

  8. Herrera, F., Martínez, L.: A 2-tuple fuzzy linguistic representation model for computing with words. IEEE T. Fuzzy Systems 8(6), 746–752 (2000)

    Article  Google Scholar 

  9. Ishibuchi, H., Yamamoto, T.: Fuzzy rule selection by multi-objective genetic local search algorithms and rule evaluation measures in data mining. Fuzzy Sets and Systems 141(1), 59–88 (2004)

    Article  MATH  MathSciNet  Google Scholar 

  10. Ishibuchi, H., Nojima, Y.: Analysis of interpretability-accuracy tradeoff of fuzzy systems by multiobjective fuzzy genetics-based machine learning. Int. J. of Approximate Reasoning 44(1), 4–31 (2007)

    Article  MATH  MathSciNet  Google Scholar 

  11. Knowles, J.D., Corne, D.W.: Approximating the non dominated front using the Pareto archived evolution strategy. Evolutionary Computation 8(2), 149–172 (2000)

    Article  Google Scholar 

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

Ducange, P., Alcalá, R., Herrera, F., Lazzerini, B., Marcelloni, F. (2008). Knowledge Base Learning of Linguistic Fuzzy Rule-Based Systems in a Multi-objective Evolutionary Framework. In: Corchado, E., Abraham, A., Pedrycz, W. (eds) Hybrid Artificial Intelligence Systems. HAIS 2008. Lecture Notes in Computer Science(), vol 5271. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-87656-4_92

Download citation

  • DOI: https://doi.org/10.1007/978-3-540-87656-4_92

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-87655-7

  • Online ISBN: 978-3-540-87656-4

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics