Re: how to combine two fuzzy numbers

From: William Siler (wsiler_at_aol.com)
Date: 09/02/04 

Date: 1 Sep 2004 18:35:24 -0700

"Dmitry A. Kazakov" <mailbox@dmitry-kazakov.de> wrote in message news:<167hedbhbqq7m.7o88pa01l0a0.dlg@40tude.net>...
>
> Note that in general there is no simple answer to your answer. Most of the
> implementation discard possible dependencies between X and Y. This leads to
> less accurate [but still correct] results. Compare it with probabilistic
> equivalent: if you know Pr(X=a) and Pr(Y=b) what would be Pr(X+Y=c)? You
> cannot tell if you do not know the joint distribution of X and Y.

I understand very well your pointing out the importance of the joint
distribution of X and Y; I agree completely, and wish more people were
aware of this.

However, I am puzzled by your phrase "less accurate but still
correct". I supppose that "correct" means "without mathematical
mistakes". Nevertheless, it is hard to take in that two different
answers to the same problem could both be correct!

William Siler