Multiple attribute group decision making based on interval-valued intuitionistic fuzzy aggregation operators and transformation techniques of interval-valued intuitionistic fuzzy values

In this paper, we propose a new method for multiple attribute group decision making (MAGDM) based on the proposed interval-valued intuitionistic fuzzy aggregation (IVIFA) operators (including the interval-valued intuitionistic fuzzy weighted averaging (IVIFWA) operator, the interval-valued intuitionistic fuzzy ordered weighted averaging (IVIFOWA) operator and the interval-valued intuitionistic fuzzy hybrid weighted averaging (IVIFHWA) operator) of interval-valued intuitionistic fuzzy values (IVIFVs). First, we propose transformation techniques between IVIFVs and right-angled triangular fuzzy numbers based on the proposed addition operator of IVIFVs. We also prove some properties of the proposed addition operator of IVIFVs. Then, we propose the IVIFWA operator, the IVIFOWA operator and the IVIFHWA operator for aggregating IVIFVs. Finally, we propose a new MAGDM method based on the proposed IVIFA operators. The experimental results show that the proposed MAGDM method can overcome the drawbacks of the existing methods. It provides us with a useful way for MAGDM in interval-valued intuitionistic fuzzy environments.