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   comp.ai.fuzzy      Fuzzy logic... all warm and fuzzy-like      1,275 messages   

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   Message 239 of 1,275   
   Ioannis K. Vlachos to All   
   Question regarding fuzzy entropy measure   
   22 Apr 04 12:57:11   
   
   From: ivla@auth.gr   
      
   Hi,   
      
   I have a question regarding fuzzy entropy measures. From fuzzy sets theory   
   we have that in order for a functional H to be an entropy measure must   
   satisfy some requirements, that were introduced by De Luca and Termini.   
   Among the requirements, there exists one called "valuation property" that is   
   a desireble property for an entropy measure. The valuation property is   
   defined as follows:   
      
   For any two arbirary set A and B defined on a finite universe X, we want the   
   following equation to hold:   
      
   H(AiB)+H(AuB)=H(A)+H(B),   
      
   where i denotes the standard intersection and u the standard union.   
      
   Can any bode explain to me what is the physical meas\aning of this property?   
   Any reference to useful papers are more than welcome.   
   Thank you in advance.   
      
   Ioannis K. Vlachos   
      
   --- SoupGate-Win32 v1.05   
    * Origin: you cannot sedate... all the things you hate (1:229/2)   

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