TY - JOUR A2 - Shen, Hao AU - Zhou, Junyi AU - Ma, Shaohui AU - Li, Jianzhen PY - 2014 DA - 2014/03/30 TI - Granular Space Reduction to a β Multigranulation Fuzzy Rough Set SP - 679037 VL - 2014 AB - 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. SN - 1085-3375 UR - https://doi.org/10.1155/2014/679037 DO - 10.1155/2014/679037 JF - Abstract and Applied Analysis PB - Hindawi Publishing Corporation KW - ER -