This paper investigates the deficiency of the accuracy function for interval-valued intuitionistic fuzzy sets (IVIFSs), which was initially proposed by Sahin (Soft Comput 10.1007/s00500-015-1657-x, 2015). And then, two parameters are introduced to characterize the internal mechanism of the accuracy function for the IVIFSs, where the first parameter is the contrast degree between the membership degree and the non-membership degree of the element to the related IVIFS, and the second parameter is the hesitancy degree of the element to the related IVIFS. Using these two parameters, one new accuracy function and one new fuzzy multi-criteria decision-making method in interval-valued intuitionistic fuzzy setting are proposed. Finally, an example is given to demonstrate the effectiveness of the proposed fuzzy multi-criteria decision-making method.
Interval-valued intuitionistic fuzzy set Accuracy function Fuzzy multi-criteria decision making Hesitancy degree Aggregation operators