| 诱导密度算子及其性质分析 |
| |
| 引用本文： | 易平涛,李伟伟,郭亚军,李萌.诱导密度算子及其性质分析[J].系统管理学报,2011,20(5). |
| |
| 作者姓名： | 易平涛 李伟伟 郭亚军 李萌 |
| |
| 作者单位： | 1. 东北大学工商管理学院,沈阳,110004
2. 北京外国语学院,北京,100089 |
| |
| 基金项目： | 国家自然科学基金资助项目(71071030,71071031); 中国博士后科学基金资助项目(20080441094),中国博士后科学基金特别资助项目(200902545); 辽宁省博士启动基金资助项目(20081020) |
| |
| 摘 要： | 对密度算子进行拓展研究,提出了诱导密度算子的概念并对其进行了性质分析.对诱导变量进行了界定,给出了一种以诱导变量为基准的元素聚类方法;在此基础上,基于分组后各组的群组特征,给出了密度加权向量的确定方法;将诱导密度中间算子与已知的信息集结算子合成,得到了诱导密度算子,并对诱导密度算子的性质进行了分析.最后,通过一个算例对诱导密度算子的应用进行了说明.
|
| 关 键 词： | 诱导密度算子 诱导变量 数据聚类 密度加权向量 |
Induced Density Operator and Its Properties |
| |
| YI Ping-tao
,
LI Wei-wei
,
GUO Ya-jun
,
LI Meng.Induced Density Operator and Its Properties[J].Systems Engineering Theory·Methodology·Applications,2011,20(5). |
| |
| Authors: | YI Ping-tao LI Wei-wei GUO Ya-jun LI Meng |
| |
| Institution: | YI Ping-tao1,LI Wei-wei1,GUO Ya-jun1,LI Meng2(1.School of Business Administration,Northeastern University,Shenyang 110004,China,2.Beijing Foreign Studies University,Beijing 100089,China) |
| |
| Abstract: | Based on the traditional density operator,this paper presents an induced density operator,and analyzes its properties.First,we introduce the notion of induced variable and provide one clustering method by induced variables.then,we provide a density weighting vector determining method according to the clustering group feature.Secondly,the induced density operator is defined by combining the induced density middle operator and the known information aggregation operators.Finally,the properties of the induced d... |
| |
| Keywords: | induced density operator induced variable data clustering density weighting vector |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
|
