The chapter introduces a programming model for deriving priorities from a hesitant fuzzy linguistic preference relation studied in [10], which involves describing decision maker’s satisfaction degree with the increasing marginal utility, defining a hyperplane in priority space and establishing a mathematical programming model based on the maximization of decision maker’s satisfaction degree. Experiments are performed to discuss the undetermined parameter in the model and verify the availability of the model. The extension of the model with incomplete information is furtherly addressed. Finally, the chapter presents a case study on assessing the impacts of hydropower stations' flood discharge and energy dissipation.