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函数单向S-粗集与系统状态检测-识别

杜英玲1, 任雪芳2   

  1. 1. 山东大学控制科学与工程学院, 山东 济南 250061; 2. 山东大学数学与系统科学学院, 山东 济南 250100
  • 收稿日期:1900-01-01 修回日期:1900-01-01 出版日期:2006-10-24 发布日期:2006-10-24
  • 通讯作者: 杜英玲

Function one-direction S-rough sets and system state detection-recognition

DU Ying-ling1, REN Xue-fang2   

  1. 1. School of Control Science and Engineering, Shandong University, Jinan2. School of Mathematics and System Sciences, Shandong University, Jinan 250100, Shandong, China 250061, Shandong, China;
  • Received:1900-01-01 Revised:1900-01-01 Online:2006-10-24 Published:2006-10-24
  • Contact: DU Ying-ling

摘要: 函数S-粗集具有动态特性, 规律特性; 函数S-粗集具有三种形式: 函数单向S-粗集, 函数双向S-粗集, 函数单向S-粗集对偶。将函数单向S-粗集的概念引入到系统状态检测-识别中, 提出系统状态偏离, 状态偏离距离的概念, 给出系统状态识别准则与应用。 利用函数单向S-粗集, 在离散的时间区间上对系统状态进行检测, 是系统状态识别与检测的一个新的研究方向。

关键词: 函数单向S-粗集, 系统状态偏离, 系统状态识别准则 , 状态偏离距离

Abstract: Function S-rough sets which have dynamic characteristic and law characteristic have three forms: function one-direction S-rough sets, function two-direction S-rough sets, and dual of function one-direction S-rough sets. Introducing the concept of function one-direction S-rough sets into system state detection-recognition, the concepts of state departure and the distance of state departure were presented, and criterion of system state recognition and its applications were given. Using function one-direction S-rough sets to detect the system state is a new trend of system state recognition and detection research.

Key words: the criterion of system state recognition , the distance of state departure, system state departure, function one direction S-rough sets

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  • O159
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