# Re: Fundamental questions (long)

Mon, 7 Jul 1997 15:43:32 +0200

> Also what is the advantage in using fuzzy logic when it is being
> trained with numerical data. I don't mean to cause offense but I
> often read papers that use fuzzy logic trained with numerical data
> *only* and wonder what was the actual advantage in doing that?

A theorem showing that in some reasonable sense, fuzzxy methods are
indeed the best way of handling numerical data is presented in the
following paper:

Robert N. Lea and Vladik Kreinovich,
Intelligent Control Makes Sense Even Without Expert Knowledge: an
Explanation'',
{\it Reliable Computing}, 1995, Supplement (Extended Abstracts of
APIC'95: International Workshop on Applications of Interval Computations,
El Paso, TX, Febr. 23--25, 1995),
pp. 140--145.

This paper can be downloaded (in LaTeX or Postscript) from
http://cs.utep.edu/interval-comp/apictoc.html, click on the
corresponding paper.

Similar results have been proven by Kosko, you may want to look
into his latest book for results and references.