Abstract
A new concept of knowledge reduction is introduced in inconsistent decision information system. It is described as maximum value distribution reduction, which preserves all maximum decision rules. The maximum value distribution eliminates the harsh requirement of the distribution and overcomes the drawbacks of the maximum distribution that may reduce the reliability of the derived decision rules. The relationships among distribution reduction, maximum value distribution reduction, maximum distribution reduction are examined. A criterion theorem and discriminating matrix with respect to maximum value reductions are obtained, hence a new approach to knowledge reduction in inconsistent information systems is proposed.
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