Biofuel is expanding the domain of sustainable energy. To ensure this supply, an efficient supply chain is necessary. In this study, crop residuals at agricultural zones, transportation to move residual for biorefineries, and biofuel to markets are considered. The resource expense, biomass yield, and demand of market are taken as fuzzy number. Carbon tax at each stage is also incorporated. The objective is to minimize the total cost of the supply chain. The result shows that model is viable to design bioenergy supply during uncertainty. Managerial insights of this study are also described to express its efficiency.