摘要
在加权近似空间中提出了关系矩阵和布尔列向量加权α下乘法和加权α上乘法的概念。证明了加权α下乘法就是加权下近似,加权α上乘法就是加权上近似,从而为加权粗糙集(可变精度粗糙集、经典粗糙集)的计算和研究提供了一种新的矩阵方法。最后给出了计算加权上下近似的算法。
The concepts of weighted α-lower product and weighted α-upper product between a relation matrix and a Boolean column vector are presented in weighted approximation space.The results that weighted α-lower and α-upper products are weighted lower and upper approximations,respectively,are proved,thus a new matrix way to study weighted rough sets（VPRSs,Pawlak rough sets） is given.Finally,an algorithm to computer weighted lower and upper approximations is established.
出处
《计算机工程与应用》
CSCD
北大核心
2008年第18期34-35,82,共3页
Computer Engineering and Applications
基金
国家自然科学基金(the National Natural Science Foundation of China under Grant No.10671158)
甘肃省教育厅科研基金(No.0701-16)
关键词
加权粗糙集
加权上下近似
加权α上下乘法
weighted rough sets
weighted lower and upper approximations
weighted α-lower and upper products
