Fuzzy piecewise multilinear and piecewise linear systems as universal approximators in Sobolev norms

被引：65
作者：
Rovatti, R [1 ]
机构：
[1] Univ Bologna, Dept Elect, I-40136 Bologna, Italy
来源：
IEEE TRANSACTIONS ON FUZZY SYSTEMS | 1998年 / 6卷 / 02期
关键词：
differential features; fuzzy systems; piecewise linear approximation; piecewise polynomial approximation;
D O I：
10.1109/91.669022
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
A piecewise multilinear and a piecewise linear model for fuzzy systems are introduced and their approximation capabilities investigated. Classical results on the approximation of regular functions are improved showing that fuzzy systems may keep their semantic structure while approximating to any degree of accuracy not only sufficiently regular functions, but also their derivatives.
引用
收藏
页码：235 / 249
页数：15
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