Re: how to combine two fuzzy numbers

From: Nico du Bois (n.dubois_at_wxs.nl)
Date: 09/01/04


Date: Wed, 1 Sep 2004 18:30:56 +0200

Hi,

Prof. Lofti Zadeh developped the "extension principle" to do fyzzy
arithmetic. On my homepage you can find an explanation of this principle and
a "fuzzy calculator" that I designed in JavaScript to show how the principle
works. If you are interested, Bojadziev and Bojadziev (Advances in Fuzzy
Systems - Applications and Theory Vol.5) developped another method to do
fuzzy arithmetic. I prefer the method of Zadeh.

I realize that this is not a complete answer to your question, but fuzzy
arithmetic is an important basic thing to be able to work with.
In probabilistics you have to be able to compute things like: P(A)*P(B).
So you can imagine that you want to be able to compute: P(fuzzyA)*P(fuzzyB).
In the menu you will see the link to Fuzzy Calculator.

Hopes this helps and best regards.

--
Nico du Bois
E  : info@nicodubois.com
W : www.nicodubois.com
"K Yee" <kentonyee@hotmail.com> schreef in bericht
news:30d2a0d1.0408301257.1ba9ced2@posting.google.com...
> Suppose I have 2 fuzzy estimates, x and y.  For instance, one can imagine
they
> are independent predictions of rain by two different forecasters.  Suppose
I want to
> combine x and y into a "combined" estimate z.   What is the formula that
optimally
> relates z to x and y?
>
> Know any articles about how to make optimal fuzzy combinations?
>
> p.s. I'm a novice, so am only interested in very simple introductory
aritcles.


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