From: kirk@bytecraft.com   
      
   bint wrote:   
   > Thank you,   
   >   
   >    Do you know of any examples where fuzzy logic has been used to control   
   > the shape of an object, or the path of something, in a way that would have   
   > been difficult otherwise?   
      
   I can give one geometry example that is illustrative. I tried to   
   create a fuzzy circle drawing program, a fuzzy equivalent to the   
   x^2 + y^2 = r^2 algebra. I created 'width' and 'height'   
   linguistic variables, and created rules like 'IF width IS very   
   wide THEN height IS very tall' and so forth.   
      
   It didn't work. Any actual curves that I got I couldn't expand   
   upon, or could be attributed to errors.   
      
   I'm fully willing to admit it may be my own lack of vision, but   
   in the end I concluded there was a good reason this approach   
   mightn't work.   
      
   Consider a perfect circle, not the formula but the figure itself.   
   That indescribable twist that is continuous yet always changing.   
   People have tried for years to describe it outside of pure   
   mathematics. It's not just a relationship between width and   
   height; there's some other magic in there. If we can't describe   
   its qualities accurately in human linguistic terms, we might not   
   be able to encode it in fuzzy logic.   
      
   Kirk   
      
   --   
   Kirk Zurell   
   Byte Craft Limited   
   Waterloo, Ontario, Canada   
   http://www.bytecraft.com   
      
   --- SoupGate-Win32 v1.05   
    * Origin: you cannot sedate... all the things you hate (1:229/2)