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The data-driven valued tolerance relation is such a non-equivalence relation. However, when predicting the unknown attribute value of an object, it regards the frequency of an attribute value approximately as the probability of appearance of this value, without considering the effects of other known attribute values of this object on predicting the unknown attribute value. In this paper, considering both the frequency of the known attribute values and the influence weight to predict the unknown attribute values. Modified data-driven valued tolerance relation (MDVT) is defined. On this basis, an extended rough set model based on modified data-driven valued tolerance relation is proposed. Some properties of the new model are analyzed. 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