The TOPSIS Method for Multi-Attribute Group Decision Making with Picture 2-Tuple Linguistic Sets

The picture 2-tuple linguistic set (P2TLS) has attracted significant interest in multi-attribute group decision-making (MAGDM). This paper explores the research area of the P2TLS in uncertain information. The main focus of this paper is the development of a new TOPSIS method customized for MAGDM in the framework of P2TLS. Firstly, we propose the deviation of two picture 2-tuple linguistic numbers(P2TLNs). Secondly, the process is performed by determining unknown attribute weights, utilizing deviation metrics of P2TLNs. Thirdly, we introduce an enhanced distance formula, that is applied to the TOPSIS approach. Finally, to demonstrate its effectiveness, the model is employed in a numerical example.