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J4 ›› 2012, Vol. 47 ›› Issue (8): 92-97.

• 论文 • 上一篇    下一篇

动态数据距离与动态数据几何辨识-恢复

林宏康1,2,李豫颖1,2,熊国敏3   

  1. 1.宁德师范学院计算机与信息工程系, 福建 宁德 352100; 2.山东大学数学学院, 山东 济南 250100;
    安顺学院数学与计算机科学系, 贵州 安顺 561000
  • 收稿日期:2011-09-16 出版日期:2012-08-20 发布日期:2012-12-24
  • 作者简介:林宏康(1954- ),男,副教授,主要研究方向为信息系统理论与应用. Email: lhk558@tom.com
  • 基金资助:

    福建省自然科学基金资助项目(2011J01357);宁德师范学院服务海西重点资助项目(2010H202);福建省教育厅科技资助项目(JB11202,JB11203,JB11204)

Dynamic data distance and geometric identification-recovery

LIN Hong-kang1,2, LI Yu-ying1,2, XIONG Guo-min3   

  1. 1. Department of Computer and Information Engineering, Ningde Normal University, Ningde 352100, Fujian, China;
    2. School of Mathematics, Shandong University, Jinan 250100, Shandong, China;
    3. Department of Mathematics and Computer Science, Anshun University, Anshun 561000, Guizhou, China
  • Received:2011-09-16 Online:2012-08-20 Published:2012-12-24

摘要:

应用P-集合,提出动态数据偏离度概念与动态数据距离的概念。动态数据偏离度包括内-动态数据偏离度、外-动态数据偏离度与内-外动态数据偏离度;动态数据距离包括内-动态数据距离、外-动态数据距离与内-外动态数据距离。应用动态数据偏离度与动态数据距离,得到动态数据的辨识与恢复定理,给出信息系统动态稳定数据的几何辨识准则,并给出应用。动态数据距离使得信息系统动态数据辨识与恢复直观化,是研究信息系统数据变化的一个几何工具。

关键词: P-集合;偏离度;动态数据距离;辨识-恢复

Abstract:

The concepts of deviation degree for dynamic data and dynamic data distance are proposed by using P-sets. The deviation degree of dynamic data includes internaldeviation degree of dynamic data and outer-deviation of degree dynamic data. The dynamic data distance includes internal-dynamic data distance and outer-dynamic data distance. Using the deviation degree of dynamic data and the dynamic data distance, the theorems of identification and recovery for dynamic data are got. Also, the geometric identification criterion and the application for the identification and recovery of identification and recovery are presented. Because of the dynamic data distance, the identification and recovery for dynamic data in information system can be visualized. The dynamic data distance is a geometric tool to research data change for information system.

Key words: P-sets; deviation degree; dynamic data distance; identification-recovery

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