As for stochastic multi-criterion decision-making problems with preference information and uncertain information on weights of criteria, a stochastic multi-criterion decision-making method based on rough sets is proposed. In the method, firstly, according to formalized preference information, the number of criteria is reduced by the constructed theory of criteria reduction on preference information system and the problem is simplified. Secondly, the net flow score of each alternative is gotten. Thirdly, the ranking of alternatives is given by the size of net flow scores. Finally, an example is...