In a supply chain management, supplier selection is an important step to determine the structure of the model. Multi-criteria decision making methods are appropriate tools for dealing with the selection of suitable suppliers. In addition, fuzzy multi-criteria decision making approaches are helpful to include different and uncertain views of decision makers. In this study, a new combined fuzzy methodology is proposed to handle green supplier selection problem. The proposed model consists of a spherical fuzzy-SWARA method, which is used to calculate the criteria weights, and MARCOS method, which is applied to rank the alternatives. In the case study, green supplier selection problem of a textile company located in Turkey is discussed. Six alternative suppliers are evaluated against twelve green criteria, and alternatives are ranked. Finally, a sensitivity analysis is performed to compare the results of different scenarios.