Textures and covering based rough sets

  • Authors:

  • Murat Diker;Ayşegül Altay Uğur

  • Affiliations:

  • Department of Mathematics, Institute of Science, Hacettepe University, Beytepe, 06532 Ankara, Turkey;Department of Secondary Science and Mathematics Education, Faculty of Education, Hacettepe University, Beytepe, 06532 Ankara, Turkey

  • Venue:
  • Information Sciences: an International Journal
  • Year:
  • 2012

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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.