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

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   Message 794 of 1,275   
   Dmitry A. Kazakov to All   
   Re: "Proving" fuzzy set theory as an ext   
   21 Oct 08 16:41:10   
   
   f4bcd3c5   
   From: mailbox@dmitry-kazakov.de   
      
   On Tue, 21 Oct 2008 04:11:42 -0700 (PDT), 151 wrote:   
      
   > After reading your reply I looked into injective mappings but I fear I   
   > still don't grasp WHY this *proves* the fact in question?   
      
   Because it is how you would define the word "extension." It would be like   
   "containing a subset of same algebraic structure."   
      
   Defining that more or less formally, you would come to an injective mapping   
   to identify the subset and a set of operations to describe the structure   
   (of Boolean algebra).   
      
   --   
   Regards,   
   Dmitry A. Kazakov   
   http://www.dmitry-kazakov.de   
      
   --- SoupGate-Win32 v1.05   
    * Origin: you cannot sedate... all the things you hate (1:229/2)   

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