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

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

**Date: **Sun Apr 16 2000 - 21:36:17 MET DST

**sorted by:**[ date ] [ thread ] [ subject ] [ author ]**Next message:**Paul Victor Birke: "Re: A challenge: What is an edge?"**Previous message:**Jim Keller: "Lotfi's fuzzy edge challenge"**Maybe in reply to:**KS: "Books or papers about Fuzzy Approximation Theorem"**Maybe reply:**Vladik Kreinovich: "Re: Books or papers about Fuzzy Approximation Theorem"

Daer Friends,

Several people pointed to me that the ftp link which I indicated in my previous

email did not work. I apologize for the inconvenience.

It turns out that the name of the ftp server has been changed. A correct

reference is as follows:

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

uses <A HREF="ftp://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:**Paul Victor Birke: "Re: A challenge: What is an edge?"**Previous message:**Jim Keller: "Lotfi's fuzzy edge challenge"**Maybe in reply to:**KS: "Books or papers about Fuzzy Approximation Theorem"**Maybe reply:**Vladik Kreinovich: "Re: Books or papers about Fuzzy Approximation Theorem"

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