Multiple attribute decision making based on novel interval-valued intuitionistic fuzzy geometric averaging operators.

In this paper, we propose a new multiple attribute decision making method based on the proposed interval-valued intuitionistic fuzzy weighted geometric averaging (IVIFWGA) operator, the proposed interval-valued intuitionistic fuzzy ordered weighted geometric averaging (IVIFOWGA) operator and the proposed interval-valued intuitionistic fuzzy hybrid geometric averaging (IVIFHGA) operator. First, we propose a new multiplication operator and propose a new power operator of interval-valued intuitionistic fuzzy values (IVIFVs). We also prove some properties of the proposed multiplication operator between IVIFVs. Then, we propose the IVIFWGA operator, the IVIFOWGA operator and the IVIFHGA operator for aggregating IVIFVs. Finally, we propose a new multiple attribute decision making method based on the proposed interval-valued intuitionistic fuzzy geometric averaging operators. The experimental results show that the proposed multiple attribute decision making method can overcome the drawbacks of the existing methods.