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Numerical Characterizations of Covering Rough Sets Based on Evidence Theory

Numerical Characterizations of Covering Rough Sets Based on Evidence Theory
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摘要 Covering rough sets are improvements of traditional rough sets by considering cover of universe instead of partition.In this paper,we develop several measures based on evidence theory to characterize covering rough sets.First,we present belief and plausibility functions in covering information systems and study their properties.With these measures we characterize lower and upper approximation operators and attribute reductions in covering information systems and decision systems respectively.With these discussions we propose a basic framework of numerical characterizations of covering rough sets. Covering rough sets are improvements of traditional rough sets by considering cover of universe instead of partition.In this paper,we develop several measures based on evidence theory to characterize covering rough sets.First,we present belief and plausibility functions in covering information systems and study their properties.With these measures we characterize lower and upper approximation operators and attribute reductions in covering information systems and decision systems respectively.With these discussions we propose a basic framework of numerical characterizations of covering rough sets.
出处 《浙江海洋学院学报(自然科学版)》 CAS 2010年第5期416-419,共4页 Journal of Zhejiang Ocean University(Natural Science Edition)
基金 supported by a grant of NSFC(70871036) a grant of National Basic Research Program of China(2009CB219801-3)
关键词 Covering rough sets Attribute reduction Belief and plausibility functions Evidence theory Covering rough sets Attribute reduction Belief and plausibility functions Evidence theory
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参考文献27

  • 1Zdzis?aw Pawlak.Rough sets[J]. International Journal of Computer & Information Sciences . 1982 (5)
  • 2BRYNIARSKI E.A calculus of rough sets of the first order. Bulletin of the Polish Academy of Sciences . 1989
  • 3CHEN D-G,ZHANG W-X,YEUNG S,TSANG E C C.Rough approximations on a complete completely distributive lattice with applications to generalized rough sets. Journal of Information Science . 2006
  • 4WASILEWSKA A.Topological rough algebras. Rough Sets & Data Mining . 1997
  • 5WU W-Z,ZHANG M,LI H-Z,MI J-S.Knowledge reduction in random information systems via Dempster-Shafer theory of evidence. Journal of Information Science . 2005
  • 6Ziarko W.Variable precision rough set model. Journal of Computer and System Sciences . 1993
  • 7J. N. Mordeson.Rough set theory applied to (fuzzy) ideal theory. Fuzzy Sets and Systems . 2001
  • 8BONIKOWSKI Z.Algebraic structures of rough sets. Rough Sets, Fuzzy Sets and Knowledge Discovery . 1994
  • 9Cattaneo G.Abstract Approximation Spaces for Rough Theories, Ruogh Sets in Knowledge Discovery 1: Methodology and Applications. . 1998
  • 10Skowron A,Stepaniuk J.Tolerance approximation spaces. Fundamenta Informaticae . 1996

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