Generalized rough sets based on reflexive and transitive relations

  • Authors:

  • Keyun Qin;Jilin Yang;Zheng Pei

  • Affiliations:

  • Department of Mathematics, Southwest Jiaotong University, Chengdu, Sichuan 610031, China;Department of Mathematics, Southwest Jiaotong University, Chengdu, Sichuan 610031, China;School of Mathematics and Computer Engineering, Xihua University, Chengdu, Sichuan 610039, China

  • Venue:
  • Information Sciences: an International Journal
  • Year:
  • 2008

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Abstract

In this paper, we investigate the relationship between generalized rough sets induced by reflexive and transitive relations and the topologies on the universe which is not restricted to be finite. It is proved that there exists a one-to-one correspondence between the set of all reflexive and transitive relations and the set of all topologies which satisfy a certain kind of compactness condition.