Abstract:Suppliers, the source of the supply chain, plays a very important role for the chain, especially in the low carbon supply chain. Selecting the appropriate suppliers can effectively control carbon emissions for the entire supply chain. But actual conditions are complicated, which can often appear fuzzy demand, purchasing multi-product and multiple vendors. In this study, it takes into account of the above conditions and carbon emissions factors at the same time to propose an integration method, namely: the first phase: use FTOPSIS to calculate the value of different products from each supplier; the second stage: view the value from the first stage as one of the goals in the fuzzy multi-objective programming to determine the optimal order. Finally, an example proves the science and practicability of the model.