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With the increasing economic globalization and intensification of market competition, green supply chain management (GSCM), as a new management mode to pursue both economic benefits and the coordinated of environment sustainable development, has become highly relevant topic in modern enterprise production operation management. The green supplier evaluation and selection is the essential core of the GSCM, which can directly impact the manufacturer's performance. The green supplier selection can be regarded as a multiple criteria group decision making (MCGDM) problem that involves many conflict evaluation criteria, both being of qualitative and quantitative nature. Due to the increasing complexity and uncertainty of social economic environment, some evaluations of criteria are not adequately represented by numerical assessments and type-1 fuzzy sets (T1FSs). In addition, decision makers …