Fuzzy Sets

  • James J. Buckley
  • Esfandiar Eslami
  • Thomas Feuring
Part of the Studies in Fuzziness and Soft Computing book series (STUDFUZZ, volume 91)


In this chapter we have collected together the basic ideas from fuzzy sets and fuzzy functions needed for the book. Any reader familiar with fuzzy sets, fuzzy numbers, the extension principle, a-cuts, interval arithmetic, possibility theory and fuzzy functions may go on to the rest of the book. A good general reference for fuzzy sets and fuzzy logic is [1], [6].


Membership Function Fuzzy Number Fuzzy Variable Triangular Fuzzy Number Fuzzy Subset 
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.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. [1]
    J.J. Buckley and E. Eslami: Introduction to Fuzzy Logic and Fuzzy Sets, Physica-Verlag, Heidelberg, Germany, 2001.Google Scholar
  2. [2]
    J.J. Buckley and Y. Hayashi: Can Neural Nets be Universal Approximators for Fuzzy Functions? Fuzzy Sets and Systems, 101 (1999), pp. 323–330.CrossRefGoogle Scholar
  3. [3]
    J.J. Buckley and Y. Qu: On Using a—cuts to Evaluate Fuzzy Equations, Fuzzy Sets and Systems, 38 (1990), pp. 309–312.CrossRefGoogle Scholar
  4. [4]
    D. Dubois and H. Prade: Possibility Theory: An Approach to Computerized Processing of Uncertainty, Plenum Press, N.Y., 1988.Google Scholar
  5. [5]
    D. Dubois and H. Prade (eds.): Fundamentals of Fuzzy Sets, Kluwer, The Netherlands, 2000.Google Scholar
  6. [6]
    G.J. Klir and B. Yuan: Fuzzy Sets and Fuzzy Logic: Theory and Applications, Prentice Hall, Upper Saddle River, N.J., 1995.Google Scholar
  7. [7]
    R.E. Moore: Methods and Applications of Interval Analysis, SIAM Studies in Applied Mathematics, Philadelphia, 1979.CrossRefGoogle Scholar
  8. [8]
    A. Neumaier: Interval Methods for Systems of Equations, Cambridge University Press, Cambridge, U.K., 1990.Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2002

Authors and Affiliations

  • James J. Buckley
    • 1
  • Esfandiar Eslami
    • 2
  • Thomas Feuring
    • 3
  1. 1.Mathematics DepartmentUniversity of Alabama at BirminghamBirminghamUSA
  2. 2.Department of MathematicsShahid Bahonar UniversityKermanIran
  3. 3.Electrical Engineering and Computer ScienceUniversity of SiegenSiegenGermany

Personalised recommendations