Textures and covering based rough sets


DİKER M., UGUR A. A.

INFORMATION SCIENCES, vol.184, no.1, pp.44-63, 2012 (Peer-Reviewed Journal) identifier identifier

  • Publication Type: Article / Article
  • Volume: 184 Issue: 1
  • Publication Date: 2012
  • Doi Number: 10.1016/j.ins.2011.08.012
  • Journal Name: INFORMATION SCIENCES
  • Journal Indexes: Science Citation Index Expanded, Scopus
  • Page Numbers: pp.44-63

Abstract

This paper introduces the relations between covering and dicovering in the framework of rough sets. The natural counterpart of a covering in textures is given by a family of pairs of sets which is called a dicovering. This leads us to two dual concepts which are called star and co-star of a set, respectively. Here, we define dicovering approximation space and we discuss on covering and dicovering based rough sets. In this context, star corresponds to the upper approximation operator defined by Zakowski and co-star corresponds to the lower approximation operator studied by Pomykala, Yao, and Zhu and Wang. (C) 2011 Elsevier Inc. All rights reserved.