Re: how to combine two fuzzy numbers

From: Manolis Wallace (wallace_at_image.ntua.gr)
Date: 09/01/04 

Date: Wed, 01 Sep 2004 12:03:44 +0300

The example you decribed, put in other words, says:

Suppose I have evidence from 2 independent sources on weather forecast.

The mathematical theory that is designed to tackle the combination of
such information is evidence theory. For example, I can point you to
Dempster's theory. Since you are a novice, I will not suggest some
specialized book or article, I think that searching on the web for
Dempster, Dempster & Shafer or Dempster & evidence you will be able to
find some simple examples on how to apply the theory.

I hope this helps..
Manolis

> 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. 

-- 
Manolis Wallace
http://www.image.ece.ntua.gr/~wallace/
Image, Video & Multimedia Systems Laboratory
Department of Computer Science
School of Electrical & Computer Engineering
National Technical University of Athens

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