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

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   Message 174 of 1,275   
   Ioannis K. Vlachos to All   
   Power of a fuzzy matrix   
   28 Jan 04 21:41:44   
   
   From: ivlachos@egnatia.ee.auth.gr   
      
   Hello,   
      
   I have the following question to pose. Let us consider a binary fuzzy   
   relation R defined on the same universe X. Let R also be transitive in the   
   max-min sense.   
   Will the power sequence of the relation R converge? By convergence I mean   
   that there exists an integer k for which R^k=R^(k+1). If this is the case,   
   can we have an upper bound of k, i.e. compared to the card(X). In other word   
   is there any relation between k and the card(X), where card() stands for the   
   cardinality of a set.   
      
   Thank you in advance   
      
   Ioannis Vlachos   
      
   --- SoupGate-Win32 v1.05   
    * Origin: you cannot sedate... all the things you hate (1:229/2)   

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