Abstract:In current attribute reduction methods for multi-granularity fuzzy rough sets, the fuzzy similarity relationship within attribute sets is often defined using a fixed threshold. However, in fuzzy decision systems, different thresholds are required for different attributes, since each attribute has a different value range. To address this issue, the attribute reduction of optimistic multi-granularity fuzzy decision rough sets based on fuzzy self-information is proposed in this paper. First, within the fuzzy decision information system, the threshold for each attribute is introduced based on the quantile to construct an adaptive-threshold-based fuzzy similarity relation. An optimistic multi-granularity fuzzy decision rough set model for a family of attribute subsets is then established. Second, fuzzy self-information is proposed by utilizing the lower and upper approximations of optimistic multi-granularity fuzzy decision rough set model and boundary domain information. Furthermore, an attribute significance measure is introduced, and an attribute reduction algorithm based on fuzzy self-information is developed. The experimental results on ten datasets demonstrate that the proposed algorithm effectively reduces the dimensionality of the original attribute set and improves the classification accuracy.
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