Skip to main content

Fuzzy Models: Methodology, Design, Applications and Challenges

  • Chapter
Fuzzy Modelling

Part of the book series: International Series in Intelligent Technologies ((ISIT,volume 7))

Abstract

The essence of fuzzy modelling is concerned with constructing models that flexibly cope with heterogeneous data including those of linguistic and numerical character. In this study, we concentrate on the methodological principles guiding the development of fuzzy models, discuss their general topology and elaborate on selected algorithmic aspects. We also address several main design issues that are aimed at achieving information flexibility and versatility of the fuzzy 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 169.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 219.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 219.99
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. J.C. Bezdek, Fuzzy models — what are they, and why?, IEEE Trans, on Fuzzy Systems, 1, 1993, 1–6.

    Google Scholar 

  2. A. Di Nola, S. Sessa, W. Pedrycz, E. Sanchez, Fuzzy Relational Equations and Their Applications in Knowledge Engineering, Kluwer Academic Press, Dordrecht, 1989.

    Google Scholar 

  3. D. Dubois, H. Prade, Possibility Theory - An Approach to Computerized Processing of Uncertainty, Plenum Press, New York, 1988.

    MATH  Google Scholar 

  4. B. Heshmaty, A. Kandel, Fuzzy linear regression and its applications to forecasting in uncertain environment, Fuzzy Sets and Systems, 15, 1985, 159–191.

    Article  MATH  Google Scholar 

  5. A. Kandel, Fuzzy Techniques in Pattern Recognition, J. Wiley, New York, 1982.

    MATH  Google Scholar 

  6. E. T. Lee, L. A. Zadeh, Note on fuzzy languages, Information Sciences, 1, 1969, 421–434.

    Article  MathSciNet  Google Scholar 

  7. M. Mizumoto, J. Toyoda, K. Tanaka, General formulation of formal grammars, Information Sciences, 4, 1972, 87–100.

    MathSciNet  Google Scholar 

  8. W. Pedrycz, Processing in relational structures: fuzzy relational equations, Fuzzy Sets and Systems, 40, 1990, 77–106.

    Article  MathSciNet  Google Scholar 

  9. W. Pedrycz, Neurocomputations in relational systems, IEEE Trans, on Pattern Analysis and Machine Intelligence, 13, 1991, 289–296.

    Article  Google Scholar 

  10. W. Pedrycz, Selected issues of frame of knowledge representation realized by means of linguistic labels, Int. J.of Intelligent Systems, 7, 1992, 155–170.

    Article  Google Scholar 

  11. W. Pedrycz, Fuzzy Control and Fuzzy Systems, 2nd extended edition, Research Studies Press/J.Wiley, Taunton/New York, 1993.

    MATH  Google Scholar 

  12. W. Pedrycz, Fuzzy neural networks and neurocomputations, Fuzzy Sets and Systems, 56, 1993, 1–28.

    Article  Google Scholar 

  13. W. Pedrycz, Fuzzy Sets Engineering, CRC Press, Boca Raton, 1995.

    MATH  Google Scholar 

  14. W. Pedrycz, J. Valente de Oliveira, Optimization of fuzzy models, IEEE Trans. on Systems, Man, and Cybernetics, to appear.

    Google Scholar 

  15. W. Pedrycz, J. Valente de Oliveira, Optimization of fuzzy relational models, Proc. 5th IFSA World Congress, Seoul, 1993, pp. 1187–1190.

    Google Scholar 

  16. E. Sanchez, Resolution of composite fuzzy relation equations, Information and Control, 30, 1976, 38–47.

    Article  MathSciNet  MATH  Google Scholar 

  17. E. S. Santos, Context - free fuzzy languages, Information and Control, 26, 1974, 1–11.

    Article  MathSciNet  MATH  Google Scholar 

  18. M. Sugeno (ed.), Industrial Applications of Fuzzy Control, North Holland, Amsterdam, 1985.

    Google Scholar 

  19. M. Sugeno, T. Yasukawa, A fuzzy-logic-based approach to qualitative modeling, IEEE Trans, on Fuzzy Systems, 1, 1993, 7–31.

    Article  Google Scholar 

  20. T. Takagi, M. Sugeno, Fuzzy identification of systems and its application to modeling and control, IEEE Trans, on Systems, Man, and Cybernetics, 15, 1985, 116–132.

    MATH  Google Scholar 

  21. H. Tanaka, S. Uejima, K. Asai, Linear regression analysis with fuzzy model, IEEE Trans, on Systems, Man, and Cybernetics, 12, 1982, 903–907.

    Article  MATH  Google Scholar 

  22. J. Valente de Oliveira, On optimal fuzzy systems with I/O interfaces, Proc. 2nd Int. Conf. on Fuzzy Systems, San Francisco, 1993.

    Google Scholar 

  23. J. Valente de Oliveira, A design methodology for fuzzy systems interfaces, IEEE Trans, on Fuzzy Systems, to appear.

    Google Scholar 

  24. L.A. Zadeh, Fuzzy sets and systems, Proc. Symp. Syst. Theory Polytech. Inst. Brooklyn, 1965, 29–37.

    Google Scholar 

  25. L.A. Zadeh, Fuzzy sets as a basis for a theory of possibility, Fuzzy Sets and Systems, 1, 1978, 3–28.

    Article  MathSciNet  MATH  Google Scholar 

  26. L. A. Zadeh, Fuzzy sets and information granularity, in: M.M. Gupta, R.K. Ragade, R.R. Yager, eds., Advances in Fuzzy Set Theory and Applications, North Holland, Amsterdam, 3–18, 1979.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1996 Kluwer Academic Publishers

About this chapter

Cite this chapter

Pedrycz, W. (1996). Fuzzy Models: Methodology, Design, Applications and Challenges. In: Pedrycz, W. (eds) Fuzzy Modelling. International Series in Intelligent Technologies, vol 7. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-1365-6_1

Download citation

  • DOI: https://doi.org/10.1007/978-1-4613-1365-6_1

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4612-8589-2

  • Online ISBN: 978-1-4613-1365-6

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics