Green supplier selection is an important group decision making problem that includes not only economic criteria, but also environment and society criteria incorporating vagueness and imprecision. This paper proposes a new integrated quality function deployment (QFD) and technique for order preference by similarity to ideal solution (TOPSIS) using generalized fuzzy numbers. The proposed approach initially identifies the features that the purchased product should possess in order to satisfy the company’s needs (“WHATs”), and then it seeks to establish the relevant supplier assessment criteria (“HOWs”). Then, the importance of the ‘‘WHATs’’, ‘‘HOWs’’, ‘‘HOWs’’-‘‘WHATs’’ correlation scores, and the impact of each potential green suppliers are determined based on generalized fuzzy numbers. The study applies the TOPSIS approach to rank the green suppliers. A numerical example is used to illustrate the advantages and applicability of the proposed approach.