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粗糙集的矩阵定义
引用本文:杨勇. 粗糙集的矩阵定义[J]. 计算机工程与应用, 2007, 43(14): 1-2
作者姓名:杨勇
作者单位:西北师范大学,数学与信息科学学院,兰州,730070
摘    要:提出了关系矩阵和布尔列向量重量上乘法和下乘法的概念,证明了上乘法就是上近似,下乘法就是下近似,同时研究了上下近似的性质,最后给出了计算上下近似的算法。

关 键 词:粗糙集  上下近似  重量乘法  重量上乘法  重量下乘法
文章编号:1002-8331(2007)14-0001-02
收稿时间:2006-12-08
修稿时间:2007-01-01

The Redefinition of Rough Sets Based on Matrix
YANG Yong. The Redefinition of Rough Sets Based on Matrix[J]. Computer Engineering and Applications, 2007, 43(14): 1-2
Authors:YANG Yong
Affiliation:College of Mathematics and Information Science,Northwest Normal University,Lanzhou 730070,China
Abstract:In this paper the concepts of weight upper product and weight lower product of relation matrix and Boolean column vector are presented,and proves that weight upper and lower products are upper and lower approximations,respectively.Mean- while,their properties are studied.Finally,an algorithm to compute upper and lower approximations is established.
Keywords:rough set   lower and upper approximation   weight product   upper product   lower product
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