Abstract
The uncertain phenomenon is very complex and using only fuzzy or random variable cannot describe it appropriate. In addition,
low carbon is the requirement of the supply chain. In order to overcome those two issues, this paper describes the uncertain
phenomenon in supply chain design under fuzzy random environment and constraints on CO2 emission. It considers that the demand
rate is a fuzzy random variety, and builds a mixed integer optimization models featuring multiple products, multiple stages and
multiple objectives. In order to solve the model, a fuzzy random simulation is designed to turn it into a certainty model. In the end,
a numerical analysis is provided to verify the effectiveness and validity of the model and algorithm. In addition, it testifies validity
of the model by comparing it with traditional models.