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, 2001Accepted:February 20, 2001Published:March 20, 2001
Keywords:function approximation, fuzzification, kolmo-gorov theorem
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.Data files: