Topological properties of the pessimistic multigranulation rough set model

  • Authors:
  • Yanhong She;Xiaoli He

  • Affiliations:
  • College of Science, Xi'an Shiyou University, Xi'an, China;College of Science, Xi'an Shiyou University, Xi'an, China

  • Venue:
  • RSKT'12 Proceedings of the 7th international conference on Rough Sets and Knowledge Technology
  • Year:
  • 2012

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Abstract

Multigranulation rough set theory is a newly proposed mathematical tool for dealing with inexact, uncertain or vague information. This paper concerns the topological properties of pessimistic multigranulation rough sets. It is shown that the collection of definable sets in pessimistic rough set model determines a clopen topology on the universe. Furthermore, it forms a Boolean algebra under the usual set-theoretic operations.