“…In the final grading and ranking stage of alternatives, the primary methods for aggregating decision information in an intuitionistic fuzzy environment include the intuitionistic fuzzy weighted geometric (IFWG) operator, IF ordered weighted geometric (IFOWG) operator, IF weighted averaging (IFWA) operator, and IF ordered weighted average (IFOWA) operator [ 67 , 68 , 69 ]. When aggregating various interval numbers, fuzzy language sets, and other information, fuzzy information is always quantified somehow and then becomes deterministic data, while this process is accompanied by a certain degree of information attenuation [ 70 , 71 ]. Therefore, how to make the aggregated information as complete as possible and add additional information to fill the information loss in the decision-making process has become a novel research direction in the field of aggregation operators in MCGDM [ 72 , 73 , 74 ].…”