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Minimal Description and Maximal Description in Covering-based Rough Sets

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Języki publikacji
EN
Abstrakty
EN
Rough set theory is an important technique in knowledge discovery in databases. In covering-based rough sets, seven types of rough set models were established in recent years. This paper defines the concept of maximal description of an element, and further explores the properties and structures of several types by means of the concepts of maximal description and minimal description. Finally, we study the relationship between covering-based rough sets and the generalized rough sets based on binary relation.
Wydawca
Rocznik
Strony
503--526
Opis fizyczny
Bibliogr. 42 poz.
Twórcy
autor
  • College of Mathematics and Computer Science, Shanxi Normal University, Linfen, 041004, P.R.China
autor
  • School of Mathematical Sciences, University of Electronic Science and Technology of China, Chengdu, 611731, P.R.China
autor
  • School of Mathematical Sciences, University of Electronic Science and Technology of China, Chengdu, 611731, P.R.China
Bibliografia
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  • [9] Zhang, H., Liang, H., Liu, D. : Two new operators in rough set theory with applications to fuzzy sets, Information Sciences, 166, 2004, 147-165.
  • [10] Bazan, J. : A View on Rough Set Concept Approximations, Fundamenta Informaticae, 59, 2004,107-118.
  • [11] Zhu, W., Wang, F. Y. : Reduction and axiomization of covering generalized rough sets, Information Sciences, 152, 2003,217-230.
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  • [20] Cornelis, C., Jensen, R., Hurtado, G., Ślęzak, D.: Attribute selection with fuzzy decision reducts, Information Sciences, 108(2), 2010, 209-224.
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  • [29] Zhu, W., Wang, F. Y.: A new type of covering rough sets, in: IEEE IS 2006, London, 4-6 September, 2006, 444-449.
  • [30] Zhu, W.: Relationship between generalized rough sets based on binary relation and covering, Infomation Sciences, 179, 2009, 210-225.
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  • [32] Liu, G., Sai, Y: A comparison of two types of rough sets induced by coverings, International Journal of Approximate Reasoning, 50, 2009, 521-528.
  • [33] Zhu, W.: Relationship among basic concepts in covering-based rough sets, Information Sciences, 179, 2009, 2478-2486.
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  • [42] Liu, G. L.: The axiomatization of the rough set upper approximation operations, Fundamenta Informaticae, 69, 2006, 331-342.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-c4a65ce6-bd9b-47bf-8308-8dc4cf249003
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