XPost: sci.math   
   From: mailbox@dmitry-kazakov.de   
      
   On 30 Aug 2004 13:57:41 -0700, K Yee wrote:   
      
   > Suppose I have 2 fuzzy estimates, x and y.  For instance, one can imagine   
   they   
   > are independent predictions of rain by two different forecasters.  Suppose I   
   want to   
   > combine x and y into a "combined" estimate z.   What is the formula that   
   optimally   
   > relates z to x and y?   
      
   You can take a look on   
      
   http://www.dmitry-kazakov.de/ada/fuzzy.htm   
      
   it contains a public domain implementation of fuzzy numbers including   
   standard arithmetic.   
      
   Note that in general there is no simple answer to your answer. Most of the   
   implementation discard possible dependencies between X and Y. This leads to   
   less accurate [but still correct] results. Compare it with probabilistic   
   equivalent: if you know Pr(X=a) and Pr(Y=b) what would be Pr(X+Y=c)? You   
   cannot tell if you do not know the joint distribution of X and Y.   
      
   --   
   Regards,   
   Dmitry Kazakov   
   www.dmitry-kazakov.de   
      
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