The models of variable precision multigranulation rough sets

Authors:
Huili Dou;Xibei Yang;Jiyue Fan;Suping Xu
Affiliations:
School of Computer Science and Engineering, Jiangsu University of Science and Technology, Zhenjiang, Jiangsu, P.R. China;School of Computer Science and Engineering, Jiangsu University of Science and Technology, Zhenjiang, Jiangsu, P.R. China,School of Computer Science and Technology, Nanjing University of Science an ...;School of Computer Science and Engineering, Jiangsu University of Science and Technology, Zhenjiang, Jiangsu, P.R. China;School of Computer Science and Engineering, Jiangsu University of Science and Technology, Zhenjiang, Jiangsu, P.R. China
Venue:
RSKT'12 Proceedings of the 7th international conference on Rough Sets and Knowledge Technology
Year:
2012

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Abstract

Multigranulation rough set is a new expansion of the classical rough set since the former use a family of the binary relations instead of a single binary relation for the constructing of approximations. In this paper, the basic idea of the variable precision rough set is introduced into the multigranulation environment and then the concept of the variable precision multigranulation rough set is proposed. Similar to the classical multigranulation rough set, the optimistic and pessimistic variable precision multigranulation rough sets are defined, respectively. Not only the properties of the variable precision multigranulation rough sets are investigated, but also the relationships among the variable precision rough set, multigranulation rough set and the variable precision multigranulation rough set are examined.