**Evaluation Based on Distance from Average Solution Method for Multiple Criteria Group Decision Making under Picture 2-Tuple Linguistic Environment**

### **Siqi Zhang 1, Hui Gao 1, Guiwu Wei 1, Yu Wei 2,\* and Cun Wei 1,3**


Received: 31 January 2019; Accepted: 5 March 2019; Published: 8 March 2019

**Abstract:** In this paper, we design the EDAS (evaluation based on distance from average solution) model with picture 2-tuple linguistic numbers (P2TLNs). First, we briefly reviewed the definition of P2TLSs and introduced the score function, accuracy function, and operational laws of P2TLNs. Then, we combined the traditional EDAS model for multiple criteria group decision making (MCGDM) with P2TLNs. Our presented model was more accurate and effective for considering the conflicting attributes. Finally, a numerical case for green supplier selection was given to illustrate this new model, and some comparisons were also conducted between the picture 2-tuple linguistic weighted averaging (P2TLWA), picture 2-tuple linguistic weighted geometric (P2TLWG) aggregation operators and EDAS model with P2TLNs, to further illustrate the advantages of the new method.

**Keywords:** multiple criteria group decision making (MCGDM) problems; picture fuzzy sets (PFSs); picture 2-tuple linguistic numbers (P2TLNs); picture 2-tuple linguistic sets (P2TLSs); EDAS model; green supplier selection
