计算机工程与应用 ›› 2008, Vol. 44 ›› Issue (18): 34-35.

• 理论研究 • 上一篇    下一篇

加权粗糙集的矩阵表示

杨 勇1,鲁小云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:2007-12-24 修回日期:2008-02-27 出版日期:2008-06-21 发布日期:2008-06-21
  • 通讯作者: 杨 勇

Matrix presentation of weighted rough sets

YANG Yong1,LU Xiao-yun1,LI Lian2   

  1. 1.College of Mathematics and Information Science,Northwest Normal University,Lanzhou 730070,China
    2.College of Information Science and Engineering,Lanzhou University,Lanzhou 730000,China
  • Received:2007-12-24 Revised:2008-02-27 Online:2008-06-21 Published:2008-06-21
  • Contact: YANG Yong

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。

Abstract: 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.