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
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;
Conference_Titel :
System Theory, 1995., Proceedings of the Twenty-Seventh Southeastern Symposium on
Conference_Location :
Starkville, MS
Print_ISBN :
0-8186-6985-3
DOI :
10.1109/SSST.1995.390567
