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The traditional studies on mining association rules are on mining intra-transaction associations. In this paper, the authors extend scope of mining association rules from traditional intra-transaction associations to N-dimensional inter-transaction associations. Mining inter-transaction associations poses more challenges on efficient processing than mining intra-transaction associations because the number of potential association rules becomes extremely large. The current paper extends in both theoretical and practical aspects. In the theoretical aspects, they improve the inter-transactional association rule framework by giving a more concise definition of inter-transactional association rules and related measurements, and investigate the closure property, theoretical foundations, multidimensional mining contexts, and performance issues in mining such extended association rules.
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