Open Access
2014 Granular Space Reduction to a β Multigranulation Fuzzy Rough Set
Junyi Zhou, Shaohui Ma, Jianzhen Li
Abstr. Appl. Anal. 2014(SI63): 1-7 (2014). DOI: 10.1155/2014/679037


Multigranulation rough set is an extension of classical rough set, and optimistic multigranulation and pessimistic multigranulation are two special cases of it. β multigranulation rough set is a more generalized multigranulation rough set. In this paper, we first introduce fuzzy rough theory into β multigranulation rough set to construct a β multigranulation fuzzy rough set, which can be used to deal with continuous data; then some properties are discussed. Reduction is an important issue of multigranulation rough set, and an algorithm of granular space reduction to β multigranulation fuzzy rough set for preserving positive region is proposed. To test the algorithm, experiments are taken on five UCI data sets with different values of β. The results show the effectiveness of the proposed algorithm.


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Junyi Zhou. Shaohui Ma. Jianzhen Li. "Granular Space Reduction to a β Multigranulation Fuzzy Rough Set." Abstr. Appl. Anal. 2014 (SI63) 1 - 7, 2014.


Published: 2014
First available in Project Euclid: 6 October 2014

MathSciNet: MR3193535
Digital Object Identifier: 10.1155/2014/679037

Rights: Copyright © 2014 Hindawi

Vol.2014 • No. SI63 • 2014
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