Title :
An analytical formulation of the influence of membership functions shape
Author :
Rondeau, L. ; Levrat, E. ; Brémont, J.
Author_Institution :
Nancy I Univ., France
Abstract :
This paper presents a study of the defuzzification method given by Rondeau et al. (1996) when it is used in a Mamdani-like fuzzy model. This defuzzification strategy has been developed to strictly respect the fuzzy partition of the output variable. The model so-derived has interesting properties since the input and output membership functions shape directly control the interpolation between rules. This result enables a systematic choice of the input and output membership functions shape
Keywords :
fuzzy set theory; interpolation; modelling; Mamdani-like fuzzy model; double constrained defuzzification; fuzzy partition; fuzzy set theory; input-output membership function; interpolation; membership functions shape; Equations; Fuzzy control; Fuzzy sets; Fuzzy systems; Kernel; Out of order; Shape;
Conference_Titel :
Fuzzy Systems, 1996., Proceedings of the Fifth IEEE International Conference on
Conference_Location :
New Orleans, LA
Print_ISBN :
0-7803-3645-3
DOI :
10.1109/FUZZY.1996.552367
