Fuzzification of Kolmogorov Theorem

Angel López-Gómez; Kaoru Hirota

doi:10.20965/jaciii.2001.p0099

Fuzzification of Kolmogorov Theorem

Angel López-Gómez, Kaoru Hirota

Tokyo Institute of Technology

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Pages (from-to)	99-109
Number of pages	11
Journal	Journal of Advanced Computational Intelligence and Intelligent Informatics
Volume	5
Issue number	2
DOIs	https://doi.org/10.20965/jaciii.2001.p0099
Publication status	Published - Mar 2001
Externally published	Yes

Keywords

Function approximation
fuzzification
kolmogorov theorem

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López-Gómez, A., & Hirota, K. (2001). Fuzzification of Kolmogorov Theorem. Journal of Advanced Computational Intelligence and Intelligent Informatics, 5(2), 99-109. https://doi.org/10.20965/jaciii.2001.p0099

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Fuzzification of Kolmogorov Theorem

Abstract

Keywords

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