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Consistent approximate representation space is a unified model for formal contexts, consistent formal decision contexts and inconsistent formal decision contexts. In this paper, notions of attribute reduction are first developed in a consistent approximate representation space, and then the verification methods of attribute reducts are proposed in a consistent approximate representation space. Finally, two methods of attribute reduction including discernibility matrix and discernibility function are given to calculate attribute reducts in a consistent approximate representation space.

Attirbute Reduction in Consistent Approximate Representation Spaces For Formal Contexts