Abstract
In this paper, we first introduce some operations on the interval-valued intuitionistic fuzzy sets, such as Hamacher sum, Hamacher product, etc., and further develop the interval-valued intuitionistic fuzzy Hamacher correlated averaging (IVIFHCA) operator. The prominent characteristic of the operators is that they can not only consider the importance of the elements or their ordered positions, but also reflect the correlation among the elements or their ordered positions. We have applied the IVIFHCA operators to multiple attribute decision making with interval-valued intuitionistic fuzzy information. Finally, a practical example for evaluating the enterprise financial performance is used to illustrate the developed procedures.
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