项目集的性质研究

On the Research of Itemset Properties

传统的关联规则挖掘框架产生大量的规则，使得人们很难利用它们。本文主要针对项目集进行研究，提出了项目集的上、下闭集的概念，并得到了上、下闭集及其它们之间的一些性质，为解决规则数量问题提供了理论基础。

The problem of association rule mining, which has broad applications, is one of important research aspects in the area of data mining. In the mining process, the traditional association rule mining framework will produce a large number of rules, which makes it very difficult for people to understand and use them. In this paper, we present the notations of upper and lower closed itemset of an itemset and obtain some useful properties of them, which can offer a theoretical basis for solving the problem of the number of association rule.