The concepts of zero waste and smart are inherently related, and the integrated development of smart cities and waste-free cities is of great significance to the construction of waste-free cities in our country. Aiming at the characteristics of sequential selection of smart and non-waste cities with no aftereffect, multi-stage and continuity, this paper proposes a sequential group decision-making method based on the hesitant fuzzy set as the decision information carrier under the EDAS framework. First, analyze the influencing factors of sequential decision-making stage weights, including scheme decision information and weight prior information, and establish a stage weight measurement model based on scheme satisfaction as a base point and priority score function as a constraint. Secondly, research hesitant fuzzy EDAS decision-making methods, and strive to build hesitant fuzzy decision-making information under multiple attributes at various stages under the irreconcilable viewpoints and interests of compatible groups, and then propose a sequential group decision-making EDAS for intelligent and zero waste city method. Finally, the proposed method is applied to the practical problems of the selection of smart zero waste cities in Yunnan Province. The results show that the results of the proposed method are consistent with the actual situation and easy to understand and apply.