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中文摘要：
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。
英文摘要：
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.
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