Some errors in our original paper in defining relative reduct with information measures are pointed out in this paper. It is shown that in our original work, Theorems 10 and 19 hold just under the condition that decision tables are consistent. We also show that an attribute reduction algorithm based on the entropies can be used to select features in practical applications although the two theorems do not hold in inconsistent cases.
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Hu et al. (2008) studied this question.
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