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

**From: **Bruno DiStefano (*bruno@ecf.toronto.edu*)

**Date: **Fri Apr 14 2000 - 15:35:53 MET DST

**sorted by:**[ date ] [ thread ] [ subject ] [ author ]**Next message:**Jarno Tanskanen: "CFP: Online Conference on Soft Computing, Deadline: Sun, April 16."**Previous message:**Larry Hall: "FUZZ-IEEE 2000 Special Offer"**Maybe in reply to:**KS: "Books or papers about Fuzzy Approximation Theorem"**Next in thread:**Frank Dowlat: "Re: Books or papers about Fuzzy Approximation Theorem"**Maybe reply:**Bruno DiStefano: "Re: Books or papers about Fuzzy Approximation Theorem"

You can look at: http://sipi.usc.edu/~kosko/

There you will be able to download:

- B. Kosko, S. Mitaim, "Adaptive Joint Fuzzy Sets for Function Approximation",

Proceedings of the 1997 International Conference on Neural Networks

(ICNN-97), pp. 537-542, June 1997

- B. Kosko, S. Mitaim, "What is the Best Shape for a Fuzzy Set in Function

Approximation?", Proceedings of the 5th IEEE International Conference

on Fuzzy Systems (FUZZ-96), pp. 1237-1243, September 1996

Both of them contain information related to FAT.

Other papers listed in http://sipi.usc.edu/~kosko/ should

be of interest to you.

I also suggest that you look at:

- B. Kosko, "Neural Networks and Fuzzy Systems: A Dynamical Systems

Approach to Machine Intelligence", Englewood Cliffs, NJ: Prentice

Hall, 1992, ISBN 0 13 611 435 0

- Bart Kosko, "Fuzzy Engineering, 1/e", 1996 Prentice Hall,

(ISBN 0-13-124991-6)

- Bart Kosho, "Fuzzy Systems as Universal Approximators",

Proceedings of the First IEEE Conference on Fuzzy Systems

ZZ-92), pages 1153-62, San Diego, March 1992

- C.H. Chen, "Fuzzy Logic and Neural Network Handbook"

McGraw-Hill Series on Computer Engineering. New York, NY:

McGraw-Hill, 1996. ISBN 0 07 011189 8

(Chapter 9 of this book is authored by B. Kosko and

has as title "Additive fuzzy systems: from function

approximation to learning").

As a last source, my (growing) web page of links:

http://www.ecf.utoronto.ca/~bruno/

http://www.ecf.utoronto.ca/~bruno/fzlnk.html

Regards

Bruno Di Stefano

-- Bruno Di Stefano ------------------------------------------------------

Courses: stefano@ecf.toronto.edu http://www.ecf.toronto.edu/~stefano

Research: bruno@ecf.toronto.edu http://www.ecf.toronto.edu/~bruno

Consulting: nuptek@sympatico.ca http://www3.sympatico.ca/nuptek

Private: brunodistefano@hotmail.com

IEEE: b.distefano@ieee.org

--------------------------------------------------------------------------

In article <38EE86B1.D1133E29@lycos.com>, KS <ks@lycos.com> wrote:

*>Hi!
*

*>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.
*

*>
*

-- -- Bruno Di Stefano ------------------------------------------------------ Courses: stefano@ecf.toronto.edu http://www.ecf.toronto.edu/~stefano Research: bruno@ecf.toronto.edu http://www.ecf.toronto.edu/~bruno Consulting: nuptek@sympatico.ca http://www3.sympatico.ca/nuptek############################################################################ This message was posted through the fuzzy mailing list. (1) To subscribe to this mailing list, send a message body of "SUB FUZZY-MAIL myFirstName mySurname" to listproc@dbai.tuwien.ac.at (2) To unsubscribe from this mailing list, send a message body of "UNSUB FUZZY-MAIL" or "UNSUB FUZZY-MAIL yoursubscription@email.address.com" to listproc@dbai.tuwien.ac.at (3) To reach the human who maintains the list, send mail to fuzzy-owner@dbai.tuwien.ac.at (4) WWW access and other information on Fuzzy Sets and Logic see http://www.dbai.tuwien.ac.at/ftp/mlowner/fuzzy-mail.info (5) WWW archive: http://www.dbai.tuwien.ac.at/marchives/fuzzy-mail/index.html

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