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Knowledge and Information Systems

, Volume 25, Issue 1, pp 169–184 | Cite as

Attribute reduction in ordered information systems based on evidence theory

  • Wei-hua Xu
  • Xiao-yan Zhang
  • Jian-min Zhong
  • Wen-xiu Zhang
Regular Paper

Abstract

Attribute reduction is one of the most important problems in rough set theory. However, in real-world lots of information systems are based on dominance relation in stead of the classical equivalence relation because of various factors. The ordering properties of attributes play a crucial role in those systems. To acquire brief decision rules from the systems, attribute reductions are needed. This paper deals with attribute reduction in ordered information systems based on evidence theory. The concepts of plausibility and belief consistent sets as well as plausibility and belief reducts in ordered information systems are introduced. It is proved that a plausibility consistent set must be a consistent set and an attribute set is a belief reduct if and only if it is a classical reduction in ordered information system.

Keywords

Attribute reduction Consistent set Evidence theory Rough set Ordered information system 

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Copyright information

© Springer-Verlag London Limited 2009

Authors and Affiliations

  • Wei-hua Xu
    • 1
  • Xiao-yan Zhang
    • 1
  • Jian-min Zhong
    • 1
  • Wen-xiu Zhang
    • 2
  1. 1.School of Mathematics and PhysicsChongqing University of TechnologyChongqingChina
  2. 2.School of ScienceXi’an Jiaotong UniversityXi’anChina

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