■-二重粗积分与系统识别

■-double rough integrals and recognition of the system

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。

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.