From: mailbox@dmitry-kazakov.de   
      
   On Wed, 25 May 2005 16:15:08 +0200, Kai Schlüter wrote:   
      
   > i am a little bit confused. Reading through the www i often found the   
   > statement FuzzySubset, which kind of confuses me, because it looks a bit   
   > like if its nothing else like a membership function.   
   >   
   > As far as my version of the FCL shows i should use the expression membership   
   > function here, even though i might missing something.   
   >   
   > So basically (if i am right here) i got a linguistic variable, which is   
   > described by linguistic terms, which are defined by Fuzzy Sets. And the   
   > membership function then gives me the degree of which x belongs to the set.   
   >   
   > Anything i am missing here?   
      
   It is not clear what you mean here.   
      
   There are different universal sets. One is, say, R over which linguistic   
   variables (terms) are defined. Each linguistic variable is a fuzzy subset   
   of R. Then there is are sets of linguistic variables like Low, Middle,   
   High. You can have a fuzzy subset of this set too. For example Low:1,   
   Middle:0.5, High:0.0.   
      
   Then you can move between these universal sets. For instance,   
   "accumulation" is when you convert a fuzzy subset of {Low, Middle, High} to   
   a corresponding one of R. "Fuzzification" is when a usually crisp singleton   
   subset of R is converted to a fuzzy subset of {Low, Middle, High}.   
      
   --   
   Regards,   
   Dmitry A. Kazakov   
   http://www.dmitry-kazakov.de   
      
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