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Poset Approaches to Covering-Based Rough Sets

  • Shiping Wang
  • William Zhu
  • Peiyong Zhu
Part of the Lecture Notes in Computer Science book series (LNCS, volume 6401)

Abstract

Rough set theory is a useful and effective tool to cope with granularity and vagueness in information system and has been used in many fields. However, it is hard to get the reduct of a covering in rough sets. This paper attempts to get the reduct of a covering at a high speed in theory. It defines upset and downset based on a poset in a covering, studies the relationship between reducible element and downset, and obtains some good results such as sufficient and necessary condition about the reducible element in a covering.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2010

Authors and Affiliations

  • Shiping Wang
    • 1
  • William Zhu
    • 2
  • Peiyong Zhu
    • 1
  1. 1.School of Mathematical SciencesUniversity of Electronic Science and Technology of ChinaChengduChina
  2. 2.School of Computer Science and EngineeringUniversity of Electronic Science and Technology of ChinaChengduChina

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