Skip to main content

Advanced Inference Filter Defuzzification

  • Conference paper
  • First Online:
Book cover Computational Intelligence. Theory and Applications (Fuzzy Days 2001)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 2206))

Included in the following conference series:

Abstract

In the field of modeling, fuzzy models are one efficient approach for representing technical systems or human control strategies. Fuzzy models have the advantage of supplying a transparent and interpretable model. Conventional fuzzy models are based on fuzzification, inference and defuzzification. The fuzzification and inference operations are theoretically well-established in the framework of fuzzy logic. In contrast, conventional defuzzification methods are essentially empirically motivated. First, we recapitulate the inference filter concept, which supplies a new understanding of the defuzzification process and a theoretical framework. Second, we extend this approach to the advanced inference filter concept, which leads to a defuzzification method that is better suited to imitate the behavior of a human expert.

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 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

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. D. Driankov, H. Hellendoorn, and M. Reinfrank. An Introduction to Fuzzy Control. Springer, Berlin Heidelberg, 1993.

    MATH  Google Scholar 

  2. H. Kiendl. The inference filter. In Second European Congress on Intelligent Techniques and Soft Computing (EUFIT’ 94), volume 1, pages 443–452, Aachen, 1994. Verlag Mainz.

    Google Scholar 

  3. H. Kiendl. Verfahren zur Defuzzifizierung für signalverarbeitende Fuzzy-Baueinheiten und Filtereinrichtungen hierfür. Kiendl, 1995. Patent DE 44 16 465.

    Google Scholar 

  4. H. Kiendl. Fuzzy-Control methodenorientiert. Oldenbourg Verlag, München, 1997.

    Google Scholar 

  5. H. Kiendl. Non-translation-invariant defuzzification. In Proceedings of the Sixth IEEE International Conference on Fuzzy Systems (FUZZ-IEEE’ 97), Barcelona, Spanien, 1997, pages 737–742, Piscataway, NJ, 1997. IEEE Press.

    Google Scholar 

  6. H. Kiendl, R. Knicker, and F. Niewels. Two way fuzzy controllers based on hyperinference and inference filter. In Proceedings of World Automation Congress (WAC’ 96), Montpellier, Frankreich, 1996. TSI Enterprise Inc.

    Google Scholar 

  7. H. Kiendl and P. Krause. Implicit modeling to cope with ambigous data. In Proceedings of the IASTED International Conference Modeling, Identification and Control (MIC 2001), Innsbruck, Österreich, volume 1, pages 291–296, 2001.

    Google Scholar 

  8. A. Krone. Datenbasierte Generierung von relevanten Fuzzy-Regeln zur Modellierung von Prozesszusammenhängen und Bedienstrategien. Fortschritt-Berichte VDI, Reihe 10, Nr. 615. VDI Verlag, Düsseldorf, 1999.

    Google Scholar 

  9. M. Mackey and L. Glass. Oscillation and Chaos in Physiological Control Systems. Science, 197:287–289, 1977.

    Article  Google Scholar 

  10. F. Niewels. Analytische formeln für das inferenzfilter zur berechnung gefilterter zugehöorigkeitsfunktionen. pages 1–14. Forschungsbericht der Fakultät für Elektrotechnik, Nr. 0896, Universität Dortmund, 1996.

    Google Scholar 

  11. J. Praczyk. Entwurf von Fuzzy-Gütemaßen zur Prozeßbewertung. Fortschritt-Berichte VDI, Reihe 8, Nr. 796. VDI Verlag, Düsseldorf, 1999.

    Google Scholar 

  12. G. Reil and H. Jessen. Fuzzy contour modelling of roll bent components using inference filter. In Proceedings of the Third European Congress on Intelligent Techniques and Soft Computing (EUFIT’ 95), pages 771–774, Aachen, 1995. Verlag Mainz.

    Google Scholar 

  13. T. Slawinski, A. Krone, P. Krause, and H. Kiendl. The fuzzy-rosa method: A statistically motivated fuzzy approach for data-based generation of small interpretable rule bases in high-dimensional search spaces. In M. Last, A. Kandel, and H. Bunke, editors, Data Mining and Computational Intelligence, pages 141–166. Physica-Verlag Heidelberg, 2001.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2001 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Kiendl, H., Krause, P. (2001). Advanced Inference Filter Defuzzification. In: Reusch, B. (eds) Computational Intelligence. Theory and Applications. Fuzzy Days 2001. Lecture Notes in Computer Science, vol 2206. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-45493-4_29

Download citation

  • DOI: https://doi.org/10.1007/3-540-45493-4_29

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-42732-2

  • Online ISBN: 978-3-540-45493-9

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics