Re: how to combine two fuzzy numbers
From: Nico du Bois (n.dubois_at_wxs.nl)
Date: 09/01/04
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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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