From: mailbox@dmitry-kazakov.de   
      
   On Sat, 19 Mar 2005 18:29:10 +0100, Oliver Bandel wrote:   
      
   > when people talk about fuzzy logic, I know,   
   > what they mean. Then sometimes I heard/read a littlebid   
   > about fuzzy numbers/values.   
   >   
   > 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?   
      
   It is not clear what you mean here. When using fuzzy numbers then all   
   relational operations on them become fuzzy-valued, automatically.   
      
   > Can a fuzzy-logic based system be expressed more   
   > suited or easier or less verbose, when using   
   > fuzzy numbers to describe the system?   
      
   Theoretically yes. One could incorporate models of measurement errors in a   
   very nice way. One could express partially known parameters directly as   
   fuzzy numbers etc. Practically, well, that's another question.   
      
   > So: Does it make sense to implement a library   
   > that can handle fuzzy numbers, when the main   
   > intent is to build a fuzzy controller/system?   
   >   
   > Or is ther no direct advantage of the ability   
   > tohandle fuzyy numbers? So does it make more   
   > sense to build a fuzzy controller from scratch   
   > directly, and without a library that implement   
   > fuzzy numbers?   
      
   What do you mean here, hardware or software?   
      
   > Where is the linkage between fuzzy logic/fuzzy control   
   > and fuzzy numbers?   
      
   A direct one. In fact any fuzzy control internally deals with fuzzy   
   numbers, implicitly or explicitly is no matter. Once fuzzification is done,   
   there is no way to do it otherwise. Linguistic variables are nothing else   
   but just fuzzy numbers. That the set of numeric operation is often reduced   
   to simple membership tests (like x is high) changes nothing (again   
   theoretically.)   
      
   --   
   Regards,   
   Dmitry A. Kazakov   
   http://www.dmitry-kazakov.de   
      
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