Measuring roughness of generalized rough sets induced by a covering

  • Authors:
  • Wei-Hua Xu;Wen-Xiu Zhang

  • Affiliations:
  • School of Science, Xi'an Jiaotong University, Xi'an 710049, PR China;School of Science, Xi'an Jiaotong University, Xi'an 710049, PR China

  • Venue:
  • Fuzzy Sets and Systems
  • Year:
  • 2007

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Abstract

In this paper, we propose new lower and upper approximations and obtain some important properties in generalized rough set induced by a covering. Especially, these properties are compared with ones of Pawlak's rough sets and Bonikowski's covering generalized rough sets, respectively. Moreover, we define a measure of roughness based on generalized rough sets with the new approximations and discuss some significant properties of the measure.