The Redefinition of Rough Sets Based on Matrix

Computer Engineering and Applications ›› 2007, Vol. 43 ›› Issue (14): 1-2.

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The Redefinition of Rough Sets Based on Matrix

yang

Received:2006-12-08 Revised:1900-01-01 Online:2007-05-10 Published:2007-05-10

粗糙集的矩阵定义

杨勇

Northwest Normal University

通讯作者: yangzt

Abstract

Abstract: In this paper the concepts of weight upper product and weight lower product of relation matrix and Boolean column vector are presented, and proved that weight upper and lower products are upper and lower approximations, respectively; Meanwhile, their properties are studied; Finally, a algorithm to compute upper and lower approximations is established.

Key words: rough set, lower and upper approximation, weight product, upper product, lower product

摘要： 本文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

yang. The Redefinition of Rough Sets Based on Matrix[J]. Computer Engineering and Applications, 2007, 43(14): 1-2.

杨勇. 粗糙集的矩阵定义[J]. 计算机工程与应用, 2007, 43(14): 1-2.

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The Redefinition of Rough Sets Based on Matrix

粗糙集的矩阵定义

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