208b3843   
   From: mailbox@dmitry-kazakov.de   
      
   On Thu, 18 Sep 2003 15:38:07 -0400, Alfred L Guiffrida   
    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   
      
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