一、算法概述

关联规则(association rules)是反映一个事物与其他事物之间的相互依存性和关联性,是数据挖掘的一个重要技术,用于从大量数据中挖掘出有价值的数据项之间的相关关系。[br] [br] 人们在日常生活中,常常被关联规则所“推荐”。比如你在某音乐网站听到一首歌,网站会自动为你推荐同风格的歌曲。甚至在各种短视频网站,你在某种类型的短视频停留时间越长,你就会越频繁地“刷”到同一类型的视频。[br] [br] 关联规则通过发现顾客放入其购物篮中的不同商品之间的联系,分析顾客的购买习惯。通过了解哪些商品频繁地被顾客同时购买,这种关联的发现可以帮助零售商制定营销策略。其他的应用还包括价目表设计、商品促销、商品的排放和基于购买模式的顾客划分。可从数据库中关联分析出形如“由于某些事件的发生而引起另外一些事件的发生”之类的规则。[br] [br] 关联规则常见的是购物篮分析,由购物篮我们可以以最直观的方式引导出一些最基本的概念。表 2-5-1 是五名顾客在超市购物的清单汇总。[br][br] 表 2-5-1 五名顾客的购物清单[br][img]data:image/png;base64,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[/img][br][br] 依据表 2-5-1,有如下几个概念需要说明:[br] 项目:英文表示为 Item(I),是指某个单个的事务,如表中的商品面包、牛奶、啤酒等。[br] 事项:英文表示为 Transaction(T),是指某一条记录,是所有项目的非空子集,如表中每条记录都是一次交易事项。[br] 项集:英文表示为 Itemset,是指某几个项目的集合,通常用{}进行标注,如{牛奶,尿布,啤酒}。[br] 关联规则:英文表示为 Association rule,通常表示为{X}→{Y},{X}叫前件,{Y}叫后件。[br][br][br]

Information: 一、算法概述