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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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