S-粗集与数据挖掘单位圆特征  

S-rough Sets and Characteristics of Data Mining Unit Circle

作　　者：史开泉[1] 

机构地区：[1]山东大学数学与系统科学学院,济南250100

出　　处：《计算机科学》2010年第5期1-8,共8页Computer Science

基　　金：山东省自然科学基金项目(Y2007G08)资助

摘　　要：给出单向S-粗集(one direction singular rough sets)、单向S-粗集对偶(dual of one direction singular rough sets)的结构。单向S-粗集与单向S-粗集对偶是改进Z.Pawlak粗集得到的,单向S-粗集与单向S-粗集对偶具有动态特性。给出单向S-粗集、单向S-粗集对偶与Z.Pawlak粗集的关系。S-粗集具有三类形式:单向S-粗集、单向S-粗集对偶、双向S-粗集,利用单向S-粗集、单向S-粗集对偶,给出数据内挖掘、数据外挖掘概念,给出数据内挖掘的外同心圆定理、数据外挖掘的内同心圆定理,并给出其应用。S-粗集是粗集理论与应用研究的新分支。One direction singular rough sets and the structure of dual of one direction singular rough sets were given.One direction singular rough sets and dual of one direction singular rough sets come from improved Z. Pawlak rough sets. One direction singular rough sets and dual of one direction singular rough sets have dynamic characteristics. The relation between one direction singular rough sets, dual of one direction singular rough sets and Z. Pawlak rough sets was also proposed.S-rough sets have three types of forms： one direction singular rough sets, dual of one direction singular rough sets and two directions singular rough sets. Based on one direction singular rough sets, dual of one direction singular rough sets, the concepts of data internal-mining, data outer-mining and their Outer concentric circle theorem,Internal concentric circle theorem were proposed, and the applications were given. trough sets is a new branch of Rough sets theory and applied research.

关 键 词：单向S-粗集 单向S-粗集对偶 数据内挖掘 数据外挖掘 单位圆 外同心圆定理 内同心圆定理 应用 

分 类 号：TP311.13[自动化与计算机技术—计算机软件与理论]