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Fuzzy Control pp 132-141 | Cite as

On the Approximate Solution of Fuzzy Equation Systems

  • Michael Wagenknecht
  • Volker Schneider
  • Rainer Hampel
Conference paper
Part of the Advances in Soft Computing book series (AINSC, volume 6)

Abstract

We consider the solution of fuzzy equation systems within the framework of (L,R)-numbers. Therefore, we have to define the notion “solution” and we have to determine arithmetic operations approximations by the above class of fuzzy numbers.

Keywords

Fuzzy Number Arithmetic Operation Extension Principle Fuzzy Parameter Fuzzy Interval 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. 1.
    De Baets, B., Markova-Stupnanova, A.: Analytical Expressions for the Addition of Fuzzy Intervals. Fuzzy Sets and Systems 91 (1997) 203–213MathSciNetMATHCrossRefGoogle Scholar
  2. 2.
    Dubois, D., Prade, H.: Fuzzy Sets and Systems. Academic Press, N.J. (1980)Google Scholar
  3. 3.
    Fuller, R., Keresztfalvi, T.: On Generalization of Nguyen’s Theorem. Fuzzy Sets and Systems 41 (1991) 371–374MathSciNetMATHCrossRefGoogle Scholar
  4. 4.
    Kruse, R. et al.: Foundations of Fuzzy Systems. J. Wiley, Chichester (1994)Google Scholar
  5. 5.
    Markova-Stupnanova, A.: A Note to the Addition of Fuzzy Numbers Based on a Continuous Archimedean t-Norm. Fuzzy Sets and Systems 91 (1997) 251–256CrossRefGoogle Scholar
  6. 6.
    Mesiar, R.: A Note to the T-Sum of L-R-Numbers. Fuzzy Sets and Systems 79 (1996) 259–261MathSciNetMATHCrossRefGoogle Scholar
  7. 7.
    Mesiar, R.: Shape Preserving Additions of Fuzzy Intervals. Fuzzy Sets and Systems 86 (1997) 73–78MathSciNetMATHCrossRefGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2000

Authors and Affiliations

  • Michael Wagenknecht
    • 1
  • Volker Schneider
    • 1
  • Rainer Hampel
    • 1
  1. 1.Zittau/Görlitz IPMUniversity of Applied SciencesZittauGermany

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