> Don:
>
> Excuse this dumb question. But doesn't the introduction of a continuous
> range of possible states simply change this into a fuzzy logic version
> of your machine? From what little I know of these operations, we are
> still dealing with a deterministic behavior pattern. According to the
> fuzzy logic guys I know, whether we exclude the middle of a machine's
> choices or not does not change the fundamentals any more than whether it
> has parallel operations or not.
>
> We can and do even simulate fuzzy logic on our PC's. I have several
> fuzzy logic programs that can do some interesting smart things. So I
> think your parallel processing fuzzy logic definition may still be a
> simple machine.
>
> Norm McPhail
Hi, Norm !
We have to be careful when talking about fuzzy systems and fuzzy logic as being
the
logic of continous. There is fuzzy discrete mathematics and fuzzy continous
mathematics, being the first only an approximation of the second. When you
implement
a fuzzy logic system by a computer program, you are not dealing with fuzzy
continous
mathematics, but only with an approximation of it. And this approximation is
good
because the modeled system is not chaotic. If we get a continuous fuzzy system
with
a chaotic behavior and try to discretize it, it stops being a good
approximation. So
real fuzzy mathematics goes beyond what can be embedded into a digital computer.
(Despite we can especulate if a kind of "analogical" computer wouldn't be
capable
of dealing with it).
Ricardo
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