Title :
Fuzzy piecewise multilinear and piecewise linear systems as universal approximators in Sobolev norms
Author :
Rovatti, Riccardo
Author_Institution :
Dipartimento di Elettronica, Bologna Univ., Italy
fDate :
5/1/1998 12:00:00 AM
Abstract :
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
Keywords :
approximation theory; fuzzy systems; interpolation; piecewise polynomial techniques; piecewise-linear techniques; Sobolev norms; fuzzy piecewise linear systems; fuzzy piecewise multilinear systems; regular functions; semantic structure; universal approximators; Fuzzy systems; Inference mechanisms; Joining processes; Mathematical model; Natural languages; Piecewise linear approximation; Piecewise linear techniques; Polynomials; Power system modeling; Shape;
Journal_Title :
Fuzzy Systems, IEEE Transactions on
