This paper proposes a decision model with a dashboard for systematically selecting and improving the performance of supplier in green supply chain management. The model combines both the decision-making trial and evaluation laboratory-based analytical network process (DANP) with a fuzzy integral method. The DANP method is used to construct the network system and derives the weights. The fuzzy integral method is applied to avoid inconsistent assumptions between the interdependence relation and linear aggregation for obtaining the aspiration-gaps of green suppliers. Last, the visualized dashboard allows for a clear representation of the interdependent-network structure of the attributes to assist companies in the selection of suitable suppliers, as well as assisting the suppliers in improving their performance with higher levels of service. A Taiwanese Electronics Company is demonstrated as an example. The results demonstrate that the dashboard can enable managers to make better decisions from a systematic perspective.