TY - JOUR
T1 - Function approximation via particular input space partition and region-based exponential membership functions
AU - Teng, You Wei
AU - Wang, Wen June
AU - Chiu, Chih Hui
N1 - Funding Information:
This paper is supported by the National Science Council of Taiwan under the Grant NSC89-2213-E008-077. ∗Corresponding author. Tel.: +886-3-422-7151-4456; fax: +886-3-425-5830. E-mail address: [email protected] (W.-J. Wang).
PY - 2004/3/1
Y1 - 2004/3/1
N2 - This paper presents an algorithm to build a compact fuzzy model for approximating unknown nonlinear functions. According to the coordinates of input-output pairs in the Cartesian product-space, the proposed algorithm partitions the input space into several characteristic regions, whose boundaries are determined by the local-minimum, local-maximum, and turning points of the training data. The region-based exponential functions are chosen as membership functions of antecedents, with consequents of rules as singletons, to construct the fuzzy model. Finally, five examples demonstrate that the proposed fuzzy model indeed improves performance in the approximating of nonlinear functions.
AB - This paper presents an algorithm to build a compact fuzzy model for approximating unknown nonlinear functions. According to the coordinates of input-output pairs in the Cartesian product-space, the proposed algorithm partitions the input space into several characteristic regions, whose boundaries are determined by the local-minimum, local-maximum, and turning points of the training data. The region-based exponential functions are chosen as membership functions of antecedents, with consequents of rules as singletons, to construct the fuzzy model. Finally, five examples demonstrate that the proposed fuzzy model indeed improves performance in the approximating of nonlinear functions.
KW - Exponential membership functions
KW - Function approximation
KW - Fuzzy system models
UR - http://www.scopus.com/inward/record.url?scp=0742320755&partnerID=8YFLogxK
U2 - 10.1016/S0165-0114(03)00086-1
DO - 10.1016/S0165-0114(03)00086-1
M3 - 期刊論文
AN - SCOPUS:0742320755
SN - 0165-0114
VL - 142
SP - 267
EP - 291
JO - Fuzzy Sets and Systems
JF - Fuzzy Sets and Systems
IS - 2
ER -