Abstract
Some scholars have already proposed a lot of dominance relation and its corresponding rough model under incomplete information system in order to deal with the problem of preference decision which has incomplete information. In the incomplete information system no matter use any dominance relation to construct a rough set model the result is uncertain. In order to reduce the misclassification caused by uncertainty, this paper put forward the concept of grey dominance relation and its rough model. Firstly the analyses of the sectors which cause the uncertainty of classification are presented in this paper. Secondly the concepts of difference coefficient and grey dominance relation are definite. Besides, rough approximation model based on grey dominance relation is constructed. Finally, through the example new model proves to have better classification performance.
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