This work proposes a multiobjective robust possibilistic programming (MORPP) model for the design and planning of a multiperiod multifeedstock lignocellulosic biofuel supply chain (LBSC) network under the epistemic uncertainty of the input data. The objective simultaneously considers economic, environmental, and social aspects. The proposed model determines the optimal location, capacity, and conversion technology of biorefineries, appropriate transportation modes, material flow, and production planning. In order to deal with the inherent uncertainty of input parameters, a hybrid robust possibilistic programming (HRPP) approach is applied. A real case study located in Iran is conducted to demonstrate the performance of the model. On the basis of the DMs' preferences HRPP-I(c) version of the robust model is recognized as the most suitable one. Also, a number of scenarios are defined, and some valuable managerial implications are drawn.