Rough sets and brouwer-zadeh lattices

  • Authors:

  • Jianhua Dai;Weidong Chen;Yunhe Pan

  • Affiliations:

  • Institute of Artificial Intelligence, Zhejiang University, Hangzhou, P.R. China;Institute of Artificial Intelligence, Zhejiang University, Hangzhou, P.R. China;Institute of Artificial Intelligence, Zhejiang University, Hangzhou, P.R. China

  • Venue:
  • RSKT'06 Proceedings of the First international conference on Rough Sets and Knowledge Technology
  • Year:
  • 2006

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Abstract

Many researchers study rough sets from the point of view of description of the rough set pairs (a rough set pair is also called a rough set), i.e. . In this paper, it is showed that the collection of all the rough sets in an approximation space can be made into a distributive Brouwer-Zadeh lattice. The induced Brouwer-Zadeh lattice from an approximation space is called the rough Brouwer-Zadeh lattice. The rough top equation and rough bottom equation problem is studied in the framework of rough Brouwer-Zadeh lattices