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Imagine there are 100 baskets, numbered 1,2,....,100 items, similarity numbered

Item 1 is in basket J if and only if I divides J evenly. For example basket is 24 is the set of items {1,2,3,4,6,8,12,24}. Describe all the association rules that have 100% confidence.

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  • Items = { 1, 2 ….. 100}

  • Baskets = {B1, B2, …. B100}

For eg B24 = {1, 2, 3, 4, 6, 8, 12, 24}

  • Support (A) = occurrence of A in every basket.

  • Confidence (A-B) = $\frac{support (AUB)}{support A}$

  • In above example the rules can be constructed as:

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