针对复合信息系统中的噪声数据以及复合粗糙集近似边界要求严格等问题,对复合粗糙集模型进行了扩展,提出变精度复合粗糙集模型。在该模型中,通过设置阈值参数β(0.5〈β≤1),定义了基于矩阵方法的变精度复合粗糙集的β-上近似、β-下近似、β-正区域、β-负区域、β-边界区域、β-精确度和β-粗糙度等概念;同时,对变精度复合粗糙集的相关性质进行了研究。最后,通过实例说明了该模型在信息处理中的应用,进一步说明该模型具有一定的容错性,抗干扰能力增强,应用范围扩大。
In view of the problem of the noise data in the composite information system, and the strict requirements of approxi- mate boundary in composite rough sets, this paper extended the composite rough sets, proposed variable precision composite rough sets( VPCRS). It introduced the threshold parameter β(0. 5 〈β≤ 1 ), and defined B-upper approximation,β-lower ap- proximation,β-positive region,β-negative region, β-boundary region, β-accuracy and β-roughness and other concepts based on matrix of variable precision composite rough sets. Meanwhile, it studied the relevant properties of the variable precision composite rough sets. Finally, an example illustrated the application of the model in information processing. Further it shows that the model has a certain fault tolerance and enhances the anti-jamming capability, which enlarges the range of application.