| 二重粗积分与系统识别 |
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| 引用本文： | 吕昆,周杨.二重粗积分与系统识别[J].山东理工大学学报,2009,23(1). |
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| 作者姓名： | 吕昆 周杨 |
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| 作者单位： | 山东城市建设职业学院基础部 山东大学数学学院 中华女子学院山东分院 |
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| 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.
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| 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 |
Double rough integrals and recognition of the system |
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| LV Kun,ZHOU Yang.Double rough integrals and recognition of the system[J].Journal of Shandong University of Technology:Science and Technology,2009,23(1). |
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| Authors: | LV Kun ZHOU Yang |
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| Institution: | 1.Department of Basic;Shandong Urban Construction Vocational College;Jinan 250014;China;2.School of Mathematics;Shandong University;Jinan 250100;3.Women's Academy at Shandong;Jinan 250002;China |
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| Abstract: | 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. |
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| Keywords: | function one direction S-rough sets rough area double rough integrals dynamic characteristics shrinking measurement shrinking rate recognition of the system |
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