**A Multi-Criteria Group Decision Making Model for Green Supplier Selection under the Ordered Weighted Hesitant Fuzzy Environment**

#### **Yumin Liu, Linlin Jin \* and Feng Zhu**

Business School, Zhengzhou University, Zhengzhou 450001, China; yuminliu@zzu.edu.cn (Y.L.); zhufeng1994@163.com (F.Z.)

**\*** Correspondence: nclzzu@163.com

Received: 24 November 2018; Accepted: 20 December 2018; Published: 25 December 2018

**Abstract:** The green supplier selection (GSS) problem is one of the most pressing issues that can directly affect manufacturer performance. GSS has been studied in previous literature, which is considered to be a typical multiple criteria group decision making (MCGDM) problem. The ordered weighted hesitant fuzzy MCGDM method can present the importance of each possible value, and the priority relationship among criteria has rarely been studied. In this study, we first extend the prioritized average (PA) operator to the ordered weighted hesitant fuzzy set (OWHFS) for solving the both problems. The generalized ordered weighted hesitant fuzzy prioritized weighted average operator (GOWHFPWA) is recommended, and some desirable properties are discussed. Based on this operator, a novel MCGDM method for GSS is developed. A numerical example of GSS is then given to prove the robustness of the proposed approach, and a sensitivity analysis is used to identify the robustness of the proposed method. Finally, a comparative analysis based on the MCGDM approach with the hesitant fuzzy prioritized weighted average (HFPWA) operator is illustrated to indicate the validity and advantages of the proposed approach.

**Keywords:** green supplier selection; ordered weighted hesitant fuzzy set; GOWHFPWA operator; multi-criteria group decision making
