This article aims to develop a generic sustainability assessment framework for helping the stakeholders/decision-makers to prioritize chemical process alternatives under uncertainties. A comprehensive evaluation system that consists of both hard and soft criteria from the environmental, economic, social–political, and technical concerns was first constructed in the framework, in which different types of uncertainties with respect to the hard and soft criteria can be properly addressed by using the interval parameter and fuzzy analytic hierarchy process method, respectively. The fuzzy decision-making trial and evaluation laboratory-based analytic network process method, which can tackle the interdependences between the evaluation criteria and the uncertainty among humans’ judgments, was employed for weighting the criteria accurately. Afterward, a novel interval vector-based algorithm was developed for rigorously prioritizing the alternative processes via the integration of both the absolute sustainability ...