From: visualminder@yahoo.de   
      
   Hello,   
      
   there exist numerous t-norm operators such as min/Zadeh operator,   
   algebraic product/probabilistic operator and Lukasiewicz operator.   
   I've read that   
   if A contains B or B contains A, then u(A and B) = min( u(A), u(B) )   
   if A and B are independent,  then u(A and B) = u(A)* u(B)   
   if A and B are mutually exclusive, then u(A and B) = max (0, u(A)+u(B)-1)   
      
   Here, the dependency between A and B seems to play a important role to   
   help choosing the proper t-norm operator.   
      
   My questions are:   
      
   1. Do people usually use dependency as criterion to decide which t-norm   
   should be used?   
      
   2. What about the situation where the dependency between A and B is   
   unknown? Which t-norms should be used then?   
       I've heard that the "product operator" makes the "member functions   
   vary more smoothly" than the "min operator", and therefore should be   
   prefered. It that true?   
      
   3. What about other t-norms like Einstein and Hamacher?  Does dependency   
   play a role to distinguish these operators? Are there any unversal   
   criteria to compare different t-norms?   
      
   thanks for the answers in advance.   
      
   VM   
      
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