二重粗积分与系统识别  

Double rough integrals and recognition of the system

作　　者：吕昆[1,2] 周杨[2,3] 

机构地区：[1]山东城市建设职业学院基础部,山东济南250014 [2]山东大学数学学院,山东济南250100 [3]中华女子学院山东分院,山东济南250002

出　　处：《山东理工大学学报（自然科学版）》2009年第1期103-106,110,共5页Journal of Shandong University of Technology:Natural Science Edition

摘　　要：以函数单向S-粗集的上、下近似生成的函数为基础,提出了粗区域的概念,进而提出基于函数单向S-粗集的二重粗积分的概念.指出其动态特征,并通过动态特征给出了萎缩度和萎缩率的概念,利用二重积分的萎缩度和萎缩率度量了系统受干扰的程度及效果.Based on the functions generated from the upper approximation and the lower approximation in function one direction S-rough sets,the concepts and dynamic characteristics of rough area and double rough integrals were proposed.Then based on the dynamic characteristics,the concepts of shrinking measurement and shrinking rate were proposed as well.The shrinking measurement and shrinking rate can be used to measure the effect of the system.

关 键 词：函数单向S-粗集 粗区域 二重粗积分 动态特征 萎缩度 萎缩率 系统识别 

分 类 号：O159[理学—数学]