函数单向S-粗集与系统状态检测-识别  

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

作　　者：杜英玲[1] 任雪芳[2] 

机构地区：[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

出　　处：《山东大学学报（理学版）》2008年第2期23-28,共6页Journal of Shandong University(Natural Science)

基　　金：国家自然科学基金资助项目(70461001);海南省自然科学基金资助项目(807054)

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。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.

关 键 词：函数单向S-粗集 系统状态偏离 状态偏离距离 系统状态识别准则 

分 类 号：O159[理学—数学]