**Subject: **Re: Books or papers about Fuzzy Approximation Theorem

**From: **Vladik Kreinovich (*vladik@cs.utep.edu*)

**Date: **Sun Apr 09 2000 - 18:30:11 MET DST

**sorted by:**[ date ] [ thread ] [ subject ] [ author ]**Next message:**Francisco Levinson: "no title"**Previous message:**Michelle T. Lin: "In addition to: A challenge: What is an edge?"**Maybe in reply to:**KS: "Books or papers about Fuzzy Approximation Theorem"**Next in thread:**Alexander Podvesovsky: "Re: Books or papers about Fuzzy Approximation Theorem"**Maybe reply:**Vladik Kreinovich: "Re: Books or papers about Fuzzy Approximation Theorem"

A survey of different universal approximation results (with an emphasis on control)

is in our chapter

Vladik Kreinovich, George C. Mouzouris, and Hung T. Nguyen,

"Fuzzy rule based modeling as a universal control tool'',

In: H. T. Nguyen and M. Sugeno (eds.),

Fuzzy Systems: Modeling and Control,

Kluwer, Boston, MA, 1998, pp. 135-195.

A soft version of this chapter (not the final one, but close) can be downloaded

from

<A HREF="ftp://cs.utep.edu/pub/reports/tr96-49a.tex">file in LaTeX</A>,

uses <A HREF="ftp://cs.utep.edu/pub/reports/crckapb.sty">crckapb.sty</A>

You are also welcome to look at

Vladik Kreinovich, Hung T. Nguyen, and Yeung Yam,

"Fuzzy Systems Are Universal Approximators for a Smooth Function

And Its Derivatives",

International Journal of Intelligent Systems, 2000 (to appear).

<A HREF="http://www.cs.utep.edu/vladik/1999/tr99-2.ps">PostScript file</A>.

*> Does anyone know of good books or papers or web sites where I can find
*

*> informations (either for beginners or with maths) on the Fuzzy
*

*> Approximation Theorem (FAT) which I read in a book from Kosko for
*

*> beginners, which says that a fuzzy system can approximate any
*

*> (continuous) function. I would liike to know exactly under what
*

*> hypothesis this happens, the kind of fuzzy systems, limitations on the
*

*> kind of the approximated functions and some math theory behind this.
*

*> Thank you!
*

*> email: skywalker_73@yahoo.com.
*

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**Next message:**Francisco Levinson: "no title"**Previous message:**Michelle T. Lin: "In addition to: A challenge: What is an edge?"**Maybe in reply to:**KS: "Books or papers about Fuzzy Approximation Theorem"**Next in thread:**Alexander Podvesovsky: "Re: Books or papers about Fuzzy Approximation Theorem"**Maybe reply:**Vladik Kreinovich: "Re: Books or papers about Fuzzy Approximation Theorem"

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