计算机工程与应用 ›› 2008, Vol. 44 ›› Issue (6): 48-50.

• 学术探讨 • 上一篇    下一篇

基于矩阵取小乘法的粗糙集

杨 勇1,牛彩云1,李 廉2   

  1. 1.西北师范大学 数学与信息科学学院,兰州 730070
    2.兰州大学 信息科学与工程学院,兰州 730000
  • 收稿日期:2007-08-24 修回日期:2007-10-15 出版日期:2008-02-21 发布日期:2008-02-21
  • 通讯作者: 杨 勇

Rough sets based on min-product of matrixes

YANG Yong1,NIU Cai-yun1,LI Lian2   

  1. 1.College of Mathematics and Information Science,Northwest Normal University,Lanzhou 730070,China
    2.School of Information Science and Engineering,Lanzhou University,Lanzhou 730000,China
  • Received:2007-08-24 Revised:2007-10-15 Online:2008-02-21 Published:2008-02-21
  • Contact: YANG Yong

摘要: 提出划分矩阵和布尔列向量取小乘法的概念;证明了下矩阵和上矩阵的行并向量分别是下近似和上近似;研究了上下近似的性质;给出了计算上下近似的算法。

Abstract: The concept of min-product between partition matrix and Boolean column vector is presented.The results that row-union vector of lower matrix is lower approximation and row-union vector of upper matrix is upper approximation are proved.Some properties of upper and lower approximations are studied.Finally,an algorithm to computer upper and lower approximations is established.