Re: Fuzzy exponent

On Thu, 18 Sep 2003 15:38:07 -0400, Alfred L Guiffrida
<[EMAIL PROTECTED]> wrote:

>Hello: I am trying to find out if the following operation can be modeled
>using fuzzy numbers.  I want to raise X to the power Y where X is an
>integer taking on values X = 1, 2, 3, ..., and Y is a tri or trap fuzzy
>number.

The result's shape is neither triangular nor trapezoid. You need a
more generic subset of the fuzzy numbers, which would include the
shapes outlined by exponential functions, rather than only by linear
ones.

If you are working on a purely computational problem, I'd recomend you
to drop trapeziods, which are rather useless in computations involving
*, /, exp, and switch to nested rectangles
(http://www.dmitry-kazakov.de/ada/fuzzy.htm#1.4) or some other
representation supporting a richer set of arithmetical operations.

---
Regards,
Dmitry Kazakov
www.dmitry-kazakov.de