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Rough sets theory is an important tool to deal with uncertain or vague knowledge in AI application. And it has been successfully applied into the problem on classification and decision analysis. For the application of rough sets, it is very important to design an effective algorithm. In this paper, we will show fuzzy similarity relations on attributes between two objects in the fuzzy information system . Then according to the fuzzy similarity relations and rough sets theory on fuzzy information systems it will also deal with support subset and its support degree. Finally, the effectiveness of this method can be seen in an example in this paper.