Fuzzy piecewise multilinear and piecewise linear systems as universal approximators in Sobolev norms | IEEE Journals & Magazine | IEEE Xplore

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


Abstract:

A piecewise multilinear and a piecewise linear model for fuzzy systems are introduced and their approximation capabilities investigated. Classical results on the approxim...Show More

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.
Published in: IEEE Transactions on Fuzzy Systems ( Volume: 6, Issue: 2, May 1998)
Page(s): 235 - 249
Date of Publication: 06 August 2002

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