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Granular Space Reduction to a β Multigranulation Fuzzy Rough Set

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  • Junyi Zhou
  • Shaohui Ma
  • Jianzhen Li

Abstract

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.

Suggested Citation

  • Junyi Zhou & Shaohui Ma & Jianzhen Li, 2014. "Granular Space Reduction to a β Multigranulation Fuzzy Rough Set," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-7, March.
    • Handle: RePEc:hin:jnlaaa:679037
    DOI: 10.1155/2014/679037
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