Title :
Single-input single-output convex fuzzy systems as universal approximators for single-input single-output convex functions
Author :
Kim, Jinwook ; Lee, Jin S.
Author_Institution :
Dept. of Electr. Eng., Pohang Univ. of Sci. & Technol., Pohang, South Korea
Abstract :
This paper derives sufficient conditions for a single-input single-output fuzzy system whose output is convex with respect to its input. They are composed of two parts: the constraint on input membership functions and the constraint on the THEN parts of fuzzy rule base. And we prove in a constructive manner that any continuously differentiable single-input single-output convex function can be approximated with any degree of accuracy by a single-input single-output fuzzy system with the above conditions.
Keywords :
approximation theory; convex programming; fuzzy logic; fuzzy set theory; fuzzy systems; fuzzy rule base; input membership functions; single-input single-output convex fuzzy systems; universal approximators; Diodes; Fuzzy systems; Interpolation; Least squares approximation; Parameter estimation; Piecewise linear techniques; Solid modeling; Sufficient conditions; Takagi-Sugeno model; Voltage;
Conference_Titel :
Fuzzy Systems, 2009. FUZZ-IEEE 2009. IEEE International Conference on
Conference_Location :
Jeju Island
Print_ISBN :
978-1-4244-3596-8
Electronic_ISBN :
1098-7584
DOI :
10.1109/FUZZY.2009.5277138