From: kirk@bytecraft.com   
      
   rshepard@nospam.appl-ecosys.com wrote:   
   > On 2007-07-30, Kirk Zurell  wrote:   
   >   
   >> 2. Triangular and trapezoid functions offer partial degrees of truth, so   
   >> these offer the real meat of fuzzy calculations. If your input can be   
   >> somewhat x and somewhat y at the same time, choose these. If in doubt,   
   >> choose these.   
      
   >   Such linguistic variables are much better represented by smooth curves   
   > such as the Gaussian (normal curve, bell curve) with S- and Z-shape curves   
   > at the ends of the domains. The semantics are that the rate of change of the   
   > truth values (membership degree, mu) varies as the domain value varies and   
   > that there is a gradual approach and departure from the maximum truth value.   
   > In the world of subjective decision making (unlike in fuzzy control   
   > applications) these are both more realistic and easier for people to accept   
   > than are trapezoids and triangles.   
      
   Thanks for adding this. Working almost exclusively in control,   
   we're aware of the use of smooth curves but have never used them   
   ourselves (not yet, anyway). OP might need these more than the   
   triangles/trapezoids: Inferjack didn't mention his intended   
   application.   
      
   Kirk   
      
   --   
   Kirk Zurell   
   Byte Craft Limited   
   Waterloo, Ontario, Canada   
   http://www.bytecraft.com   
      
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