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Journal of Applied Mathematics
Volume 2014 (2014), Article ID 857186, 9 pages
Research Article

Multigranulations Rough Set Method of Attribute Reduction in Information Systems Based on Evidence Theory

Department of Mathematics and Applied Mathematics, Lianyungang Teachers College, Lianyungang 222006, China

Received 4 February 2014; Revised 16 June 2014; Accepted 17 June 2014; Published 1 July 2014

Academic Editor: Xiaojing Yang

Copyright © 2014 Minlun Yan. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


Attribute reduction is one of the most important problems in rough set theory. However, from the granular computing point of view, the classical rough set theory is based on a single granulation. It is necessary to study the issue of attribute reduction based on multigranulations rough set. To acquire brief decision rules from information systems, this paper firstly investigates attribute reductions by combining the multigranulations rough set together with evidence theory. Concepts of belief and plausibility consistent set are proposed, and some important properties are addressed by the view of the optimistic and pessimistic multigranulations rough set. What is more, the multigranulations method of the belief and plausibility reductions is constructed in the paper. It is proved that a set is an optimistic (pessimistic) belief reduction if and only if it is an optimistic (pessimistic) lower approximation reduction, and a set is an optimistic (pessimistic) plausibility reduction if and only if it is an optimistic (pessimistic) upper approximation reduction.