二重粗积分与系统识别

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二重粗积分与系统识别

吕昆^1,2

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

收稿日期:2008-10-17 修回日期:1900-01-01 出版日期:2009-04-24 发布日期:2009-11-26
通讯作者: 吕昆

double rough integrals and recognition of the system

Lv Kun ^1,2

1. Department of Basic, Shandong Urban Construction Vocational College, Jinan 250014, Shandong, China;
2. School of Mathematics, Shandong University, Jinan 250100, Shandong, China

Received:2008-10-17 Revised:1900-01-01 Online:2009-04-24 Published:2009-11-26
Contact: Lv Kun

摘要/Abstract

摘要： 以函数单向S粗集对偶的上、下近似生成的函数为基础,提出了粗区域的定义,二重粗积分的定义及其动态特征,通过动态特征给出了扩张度和扩张率的概念,并且通过计算扩张度和扩张率来度量系统受干扰的程度。

关键词: 二重粗积分, 扩张度, 扩张率, 系统识别, 函数单向S粗集对偶, 粗区域

Abstract: Based on functions generated from the upper approximation and the lower approximation in dual of function one direction Srough sets, the definition of rough area, and the definition of double rough integrals was given and there dynamic characteristics were pointed out. Based on dynamic characteristics, the concept of distending measurement and distending rate was given and then the degree of the system was measured, which was inferred by calculating distending measurement and distending rate.

Key words: dual of function one direction Srough sets, rough area, double rough integrals, distending measurement, distending rate

中图分类号:

O159

吕昆1,2 . 二重粗积分与系统识别[J]. J4, 2009, 44(3): 92-96 .

Lv Kun ^1,2. double rough integrals and recognition of the system
[J]. J4, 2009, 44(3): 92-96 .

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[1]	方文青1,2. F-二重粗积分与边界厚度[J]. J4, 2010, 45(9): 53-56.
[2]	周杨,吕昆, . 粗区域生成与二重粗积分[J]. J4, 2008, 43(11): 91-96 .