From: walter@bytecraft.com   
      
   Oliver Bandel wrote:   
      
   > >>Fuzzy numbers may be a nice thing and well suited   
   > >>for some things...   
   > >>   
   > >>...but can fuzzy logic gain an advantage out of   
   > >>the fuzzy numbers?   
      
   Linguistic variables used in fuzzy logic can be viewed as a normalized form of   
   the problems space. In that sense they often have a computational advantage   
   over crisp calculations.   
      
   Linguistic variables are normalized between 0 and 1 and the precision of the   
   calculations depends on the number of bits used to represent a linguistic   
   variable.   
      
   In practical applications linguistic numbers are used to the very end of   
   control algorithms where the linguistic variable is translated back into a   
   crisp control. This could be a simple on/off switch or a power setting between   
   0 and 1 or or 0 and 100. the   
   final point being that once the control algorithm is complete the translation   
   back to the application specific numbers is usually very easy.   
      
      
   > .. so it's not a practical issue to use fuzzy numbers   
   > for calculating/describing/explaining fuzzy controllers?   
   > They are better calculated with crisp numbers?   
   >   
   > Or is it only the lack of computational support by (missing)   
   > libraries that yields to "going back to what we know better"?!   
      
   It is generally less computationally intense to use Linguistic variables than   
   crisp in most control applications. The reason is once a crisp number is   
   normalized to a Linguistic variables in a well designed system the computation   
   requirements depend on   
   the requirements of the result usually with a smaller dynamic range that the   
   original crisp numbers.   
      
   There are some fuzzy logic examples including control on Byte Craft's Web site   
      
   http://www.bytecraft.com/publishing.html   
      
   Walter..   
      
   --- SoupGate-Win32 v1.05   
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