Multigranulations Rough Set Method of Attribute Reduction in Information Systems Based on Evidence Theory
Author
Source
Journal of Applied Mathematics
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-07-01
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Yan, Minlun. 2014. Multigranulations Rough Set Method of Attribute Reduction in Information Systems Based on Evidence Theory. Journal of Applied Mathematics،Vol. 2014, no. 2014, pp.1-9.
https://search.emarefa.net/detail/BIM-503796
Modern Language Association (MLA)
Yan, Minlun. Multigranulations Rough Set Method of Attribute Reduction in Information Systems Based on Evidence Theory. Journal of Applied Mathematics No. 2014 (2014), pp.1-9.
https://search.emarefa.net/detail/BIM-503796
American Medical Association (AMA)
Yan, Minlun. Multigranulations Rough Set Method of Attribute Reduction in Information Systems Based on Evidence Theory. Journal of Applied Mathematics. 2014. Vol. 2014, no. 2014, pp.1-9.
https://search.emarefa.net/detail/BIM-503796
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-503796