On Wed, 23 Feb 2000, Hansen, Peter Friis wrote:
>
> I have been asked to write a one-page summary on fuzzy sets --- yet another
> area of which I have no knowledge --- and I therefore would be interested in
> some clarification on what cases fuzzy set theory is capable of modeling
> better than Bayesian Network models.
>
My 2 cents ....
Bayesian theory is fully consistent: there is only _one_ way to do
your algebra. While fuzzy logic has an infinite amount of possible
computational rules: all hinges around the fact that there are
infinitely many ways to define t-norms or t-conorms, and there is no
``first principle'' that tells you which one to choose. Therefore, you
can write an infinite number of papers on the same real system and the
same data :-) (Which is what many people do indeed :-( )
Hence, fuzzy logic is indeed more general; in fact it is too general to
be still called a scientific paradigm (because of the above-mentioned
indefiniteness of its calculus).
-- Herman.Bruyninckx@mech.kuleuven.ac.be (Ph.D.) Fax: +32-(0)16-32 29 87 Dept. Mechanical Eng., Div. PMA, Katholieke Universiteit Leuven, Belgium We are hiring: <http://www.mech.kuleuven.ac.be/~bruyninc/jobs>
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