Title :
Nonlinear function approximation based on fuzzy algorithms with parameterized conjunctors
Author :
Aras, A.C. ; Kaynak, Okyay ; Batyrshin, I.
Author_Institution :
Dept. of Electr.-Electron. Eng., Bogazici Univ., Istanbul, Turkey
fDate :
Feb. 27 2013-March 1 2013
Abstract :
In this study, two fuzzy algorithms, type-1 fuzzy algorithm with parameterized conjunctors and a novel approach interval type-2 fuzzy algorithm with parameterized conjunctors are used in the modeling application for nonlinear functions. The aim of using parameterized conjunctors as fuzzy operators in these algorithms is not to lose or distort the expert knowledge about the system during the optimization process. In this study, this linguistic information about the system is obtained by using fuzzy c-means clustering algorithms. Then, the designed fuzzy algorithms are tested on two benchmark nonlinear functions in modeling application.
Keywords :
function approximation; fuzzy control; mathematical operators; nonlinear control systems; nonlinear functions; optimisation; pattern clustering; fuzzy c-means clustering; fuzzy operators; interval type-2 fuzzy algorithm; linguistic information; nonlinear function approximation; optimization process; parameterized conjunctor; type-1 fuzzy algorithm; Approximation algorithms; Clustering algorithms; Function approximation; Fuzzy sets; Mathematical model; Tuning;
Conference_Titel :
Mechatronics (ICM), 2013 IEEE International Conference on
Conference_Location :
Vicenza
Print_ISBN :
978-1-4673-1386-5
Electronic_ISBN :
978-1-4673-1387-2
DOI :
10.1109/ICMECH.2013.6518515