• DocumentCode
    2592520
  • Title

    Mathematical representation of fuzzy membership functions

  • Author

    Donato, J.M. ; Barbieri, E.

  • Author_Institution
    Dept. of Electr. Eng., Tulane Univ., New Orleans, LA, USA
  • fYear
    1995
  • fDate
    12-14 Mar 1995
  • Firstpage
    290
  • Lastpage
    294
  • Abstract
    The most commonly used membership function distributions in fuzzy controllers are evenly-spaced triangular and trapezoidal membership functions which allow simple traversal routines to fuzzify the input. Evenly-spaced membership distributions become very sensitive to inaccuracies in the fuzzy representation of the input. The paper proposes a membership function shape and distribution which makes the fuzzified input more robust to biases in the fuzzified input
  • Keywords
    controllers; fuzzy control; fuzzy set theory; fuzzy systems; mathematical analysis; biases; evenly-spaced trapezoidal membership functions; evenly-spaced triangular membership functions; fuzzified input; fuzzy controllers; fuzzy membership functions; inaccuracies; membership function distributions; membership function shape; mthematical representation; simple traversal routines; Control systems; Engines; Fuzzy control; Fuzzy sets; Fuzzy systems; Marine vehicles; Polynomials; Quantization; Robustness; Shape;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    System Theory, 1995., Proceedings of the Twenty-Seventh Southeastern Symposium on
  • Conference_Location
    Starkville, MS
  • ISSN
    0094-2898
  • Print_ISBN
    0-8186-6985-3
  • Type

    conf

  • DOI
    10.1109/SSST.1995.390567
  • Filename
    390567