Frequent closed itemsets lattice used in data mining

Association rules, classification rules and clustering rules are three main classes of useful rules in the fields of data mining. We often use different algorithms to mine them. In the past few years, the technology, frequent closed itemsets mining, is introduced. It generates a small set of rules compared with the traditional frequent itemset mining without information loss. In this paper, based on the theory of Galois connection, we introduce a new unified structure to mine the three different kinds of rules. The structure is called frequent closed itemsets lattice. We only need to add additional simple function to the algorithm that builds the structure to carry out the process of mining. We find the new structure as very useful and promising.