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

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   Message 432 of 1,275   
   ghilder@iol.it to All   
   Defuzzification question !!!   
   08 Apr 05 22:15:11   
   
   From: @---@   
      
   Hi,   
      
   example of this classic problem:   
      
   Velocity -> Risk   
      
   Velocity is a fuzzy triangular number divided in the three classical   
   triangular sets (Low Medium High) (0,0,60 - 40,70,100 - 80,140,140)   
   (measures in km/h)   
   Risk is expressed in % through other three triangular sets (Low Medium High)   
   (0,0,40 - 30,50,70 - 60,100,100)   
      
   The rule system is   
      
   1) IF velocity is low THEN risk is low   
   2) IF velocity is medium THEN risk is medium   
      
   If my velocity is 35 km/h both rules are active with a degree of membership.   
   I can get my risk level through a defuzzification based on centroid or   
   weighted average.   
   So, my output risk is a number between the centoids of the two triangles   
   (low and medium risk).   
   If my velocity is 30 km/h i active only the first rule with a certain   
   membership degree. I can defuzzify using the centroid method and my risk   
   level is the centroid of the reduced area of low risk triangle.   
      
   But if my velocity is 29 to 0? My output risk level is yet the centroid of   
   the reduced area of low risk triangle? Is it true or i'ma beginner?   
   Or better, if my velocity is 0 km/h my risk should be 0 too? Of course.   
      
   Is the centroid method correct or not?   
      
   Thanks in advance,   
      
   @   
      
   --- SoupGate-Win32 v1.05   
    * Origin: you cannot sedate... all the things you hate (1:229/2)   

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