On the reduction of fuzzy rough sets

Fuzzy rough set is a generalization of Pawlak rough set to deal with both fuzziness and vagueness. The existing approaches to fuzzy rough set pay more attention to the construction of approximation operators rather than the attributes reduction of the fuzzy rough set. This paper defines a fuzzy information system and investigates its reductions. Some fundamental properties of the system are discussed. An algorithm based on the discernibility matrix to compute all the attributes reductions for fuzzy information systems is developed as well.

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