Rough approximations in general approximation spaces

  • Authors:

  • Keyun Qin;Zheng Pei;Yang Xu

  • Affiliations:

  • College of Mathematics, Southwest Jiaotong University, Chengdu, Sichuan, China;School of Mathematics & Computer Engineering, Xihua University, Chengdu, Sichuan, China;College of Mathematics, Southwest Jiaotong University, Chengdu, Sichuan, China

  • Venue:
  • IUKM'11 Proceedings of the 2011 international conference on Integrated uncertainty in knowledge modelling and decision making
  • Year:
  • 2011

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Abstract

This paper is devoted to the discussion of rough approximations in general approximation space. The notions of transitive and Euclidean uncertainty mapping were introduced. The properties of some rough approximations were derived based on transitive and Euclidean uncertainty mappings. Additionally, it is pointed out that some existing approximation mappings are not suitable candidate for rough approximations.