Fuzzy multiattribute decision making based on transformation techniques of intuitionistic fuzzy values and intuitionistic fuzzy geometric averaging operators

In this paper, we propose a new method for fuzzy multiattribute decision making based on the proposed transformation techniques between intuitionistic fuzzy values and right-angled triangular fuzzy numbers and the proposed intuitionistic fuzzy geometric averaging operators of intuitionistic fuzzy values. First, we propose a new multiplication operator between intuitionistic fuzzy values and propose a new power operator of intuitionistic fuzzy values based on the proposed transformation techniques between intuitionistic fuzzy values and right-angled triangular fuzzy numbers. Then, we propose the intuitionistic fuzzy weighted geometric averaging (IFWGA) operator, the intuitionistic fuzzy ordered weighted geometric averaging (IFOWGA) operator and the intuitionistic fuzzy hybrid geometric averaging (IFHGA) operator for aggregating intuitionistic fuzzy values. Then, we propose a new method for fuzzy multiattribute decision making based on the proposed IFWGA operator, the proposed IFOWGA operator and the proposed IFHGA operator of intuitionistic fuzzy values. The experimental results show that the proposed method can overcome the drawbacks of the existing methods for multiattribute decision making in intuitionistic fuzzy environments.