5c5cdc2b   
   From: kirk@bytecraft.com   
      
   Bill Silvert wrote:   
   > On Apr 7, 3:50 pm, Kirk Zurell  wrote:   
   >> I can give one geometry example that is illustrative. I tried to   
   >> create a fuzzy circle drawing program, a fuzzy equivalent to the   
   >   
   > I think that drawing a circle misses the point. Drawing a round shape   
   > is much closer to what could be considered fuzzy geometry.   
      
   I think that's what the original poster was looking for. I was   
   sharing my efforts at specifying a line figure "linguistically"   
   rather than through algebra.   
      
   > But given that a circle has a crisp definition, you cannot draw a   
   > fuzzy circle unless you define what you mean.   
      
   I was looking for a circle-like figure, specified linguistically,   
   which I thought satisfied the OP's query:   
      
   > 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?   
      
   Dmitry gave us a more rigorous perspective on this, focusing on   
   'smudged' circles rather than 'circle-like' figures. But my   
   underlying model is probably at fault; as Dmitry explained,   
      
   > But it would be silly to expect fuzzy   
   > logic to capture that. Same is true for crisp logic too. Neither is   
   > geometry.   
      
   Kirk   
      
   --   
   Kirk Zurell   
   Byte Craft Limited   
   Waterloo, Ontario, Canada   
   http://www.bytecraft.com   
      
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