Fuzzification of Kolmogorov Theorem

Angel López-Gótnez; Kaoru Hirota

doi:10.20965/jaciii.2001.p0099

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JACIII Vol.5 No.2 pp. 99-109

doi: 10.20965/jaciii.2001.p0099

(2001)

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Fuzzification of Kolmogorov Theorem

Angel López-Gótnez and Kaoru Hirota

Interdisciplinary Grad. School of Science and Eng., Tokyo Institute of Technology, 4259 Nagatsuta, Midori-ward, Yokohama 226-8502, Japan

Received:

January 14, 2001

Accepted:

February 20, 2001

Published:

March 20, 2001

Keywords:

function approximation, fuzzification, kolmo-gorov theorem

Abstract

The extension of the Kolmogorov’s theorem (1957) about the representation of continuous real extended functions with more than one variables as superpositions of extended functions of one variable is presented. The graphical analysis of its behavior with a function of two variables is showed. The representation of the theorem using a practical neural network is obtained.

Cite this article as:

A. López-Gótnez and K. Hirota, “Fuzzification of Kolmogorov Theorem,” J. Adv. Comput. Intell. Intell. Inform., Vol.5 No.2, pp. 99-109, 2001.

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