Note on "Generalized rough sets based on reflexive and transitive relations"

  • Authors:

  • Hua-Peng Zhang;Yao Ouyang;Zhudeng Wang

  • Affiliations:

  • Department of Mathematics, Nanjing Normal University, 122 Hao Ninghai Road, Nanjing, Jiangsu 210097, People's Republic of China;Faculty of Science, Huzhou Teachers' College, Huzhou, Zhejiang 313000, People's Republic of China;Institute of Mathematics, Zhejiang Wanli University, Ningbo, Zhejiang 315100, People's Republic of China

  • Venue:
  • Information Sciences: an International Journal
  • Year:
  • 2009

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Abstract

In this note, we show that, in the paper [Generalized rough sets based on reflexive and transitive relations, Information Sciences 178 (2008) 4138-4141], the topology induced by a preorder (i.e., a reflexive and transitive binary relation) is nothing but the well-known Alexandrov topology of the preorder. In addition, we point out that a topology satisfying certain kind of compactness condition proposed in the above mentioned paper is exactly an Alexandrov topology.