Computer Engineering and Applications ›› 2007, Vol. 43 ›› Issue (21): 75-76.

• 学术探讨 • Previous Articles     Next Articles

On covering-based rough approximation operators

GAO Yan1,2,QIN Ke-yun1   

  1. 1.Department of Mathematics,Southwest Jiaotong University,Chengdu 610031,China
    2.College of Computer Science and Technology,Henan Polytechnic University,Jiaozuo,Henan 454000,China
  • Received:1900-01-01 Revised:1900-01-01 Online:2007-07-21 Published:2007-07-21
  • Contact: GAO Yan

基于覆盖的粗糙近似算子

高 岩1,2,秦克云1   

  1. 1.西南交通大学 数学系,成都 610031
    2.河南理工大学 计算机科学与技术学院,河南 焦作 454000
  • 通讯作者: 高 岩

Abstract: This paper is devoted to the discussion of covering-based approximation operators.It is proved that multiplication for covering lower approximation operator,addition for covering upper approximation operator and monotone for covering upper approximation operator are equivalent.A necessary and sufficient condition for covering upper approximation operator and covering upper approximation operator are dual to each other is given.

Key words: rough sets, cover, approximation operators, representative element

摘要: 研究Bonikowski覆盖近似算子。借助覆盖近似空间的代表元,证明了下近似算子保交、上近似算子保并、以及上近似算子单调等是相互等价的,另外给出了上、下近似算子对偶的等价条件。

关键词: 粗糙集, 覆盖, 近似算子, 代表元