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Information Systems
Volume 24, Issue 1, March 1999, Pages 25-46
 
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doi:10.1016/S0306-4379(99)00003-4    How to Cite or Link Using DOI (Opens New Window)
Copyright © 1999 Published by Elsevier Science Ltd.

Efficient mining of association rules using closed itemset lattices*1

Nicolas Pasquier, Yves Bastide, Rafik Taouil and Lotfi Lakhal

Laboratoire d'Informatique (LIMOS), Université Blaise Pascal — Clermont-Ferrand II, Complexe Scientifique des Cézeaux, 63177, Aubière Cedex, France

Received 13 June 1998; 
revised 16 October 1998. 
Available online 2 June 1999.

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Abstract

Discovering association rules is one of the most important task in data mining. Many efficient algorithms have been proposed in the literature. The most noticeable are Apriori, Mannila's algorithm, Partition, Sampling and DIC, that are all based on the Apriori mining method: pruning the subset lattice (itemset lattice). In this paper we propose an efficient algorithm, called Close, based on a new mining method: pruning the closed set lattice (closed itemset lattice). This lattice, which is a sub-order of the subset lattice, is closely related to Wille's concept lattice in formal concept analysis. Experiments comparing Close to an optimized version of Apriori showed that Close is very efficient for mining dense and/or correlated data such as census style data, and performs reasonably well for market basket style data.

Author Keywords: Data Mining; Knowledge Discovery; Association Rules; Data Clustering; Lattices; Algorithms

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Information Systems
Volume 24, Issue 1, March 1999, Pages 25-46
 
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