Fuzzy piecewise multilinear and piecewise linear systems as universal approximators in Sobolev norms
Riccardo Rovatti · IEEE Transactions on Fuzzy Systems · 1998
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.