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

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   Message 139 of 1,275   
   tarmat to rshepard@salmo.appl-ecosys.com   
   Re: Overlap of membership sets   
   09 Jan 04 21:35:47   
   
   From: tarmat@btopenworld.com   
      
   On 9 Jan 2004 14:25:40 GMT, Rich Shepard   
    wrote:   
      
   >On 2004-01-09, tarmat  wrote:   
   >   
   >> I've heard that it's a bad idea to have three or more member functions   
   >> overlapping (Yen and Langari).   
   >>   
   >> Can you explain why?   
   >   
   >  If I understand you correctly, the answer is "no".   
   >   
   >  Consider the linguistic variable "Height". It could have terms (fuzzy   
   >sets) including very short, short, normal, tall, very tall. By definition,   
   >an instance (e.g., a person) can have a partial membership in more than one   
   >fuzzy set simultaneously. The only way to fuzzify a height of, say, 170 cm   
   >might be to say that it is .9 in the set 'normal' and .1 in the set 'tall'.   
   >This requires overlap.   
   >   
      
   You've misunderstood me. I realise that overlap is required but I   
   meant when a set is overlapping with adjacent sets *and* with non   
   adjacent sets.   
      
   --- SoupGate-Win32 v1.05   
    * Origin: you cannot sedate... all the things you hate (1:229/2)   

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