Transitivity: Suppose the confidence of the rules A ?? B and B ?? C are larger than some threshold, minconf. Is it possible that A ?? C has a confidence less than minconf?

What will be an ideal response?


Yes, It depends on the support of items A, B, and C.
For example:
s(A,B) = 60% s(A) = 90%
s(A,C) = 20% s(B) = 70%
s(B,C) = 50% s(C) = 60%
Let minconf = 50% Therefore:
c(A ? B) = 66% > minconf
c(B ? C) = 71% > minconf
But c(A ? C) = 22% < minconf

Computer Science & Information Technology

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