Topological structure of generalized rough sets

  • Authors:

  • Zhaowen Li;Tusheng Xie;Qingguo Li

  • Affiliations:

  • College of Mathematics and Computer Science, Guangxi University for Nationalities, Nanning, Guangxi 530006, China;College of Mathematics and Information Science, Guangxi University, Nanning, Guangxi 530004, China;College of Mathematics and Econometrics, Hunan University, Changsha, Hunan 410082, China

  • Venue:
  • Computers & Mathematics with Applications
  • Year:
  • 2012

Quantified Score

Hi-index 0.09

Visualization

Abstract

In this paper, we investigate some properties of (X,@t"@q) such as compactness, separate property, Lindelof property and connectedness, where (X,@t"@q) is induced by a reflexive relation @q on X which may be infinite. Moreover, we introduce the concept of approximating spaces and research their characterizations and properties. Particularly, we obtain a sufficient and necessary condition that topological spaces are approximating spaces. These will be not only conducive to better understanding basic concepts and properties of a rough set, but also have theory and actual significance to topology.