Abstract
In this paper, we first introduce some operations on interval-valued intuitionistic fuzzy sets, such as Hamacher sum, Hamacher product, etc., and further develop the induced interval-valued intuitionistic fuzzy Hamacher ordered weighted geometric (I-IVIFHOWG) operator. We also establish some desirable properties of this operator, such as commutativity, idempotency and monotonicity. Then, we apply the induced interval-valued intuitionistic fuzzy Hamacher ordered weighted geometric (I-IVIFHOWG) operator to deal with the interval-valued intuitionistic fuzzy multiple attribute decision making problems. Finally, an illustrative example for evaluating the security of wireless sensor network is given to verify the developed approach and to demonstrate its practicality and effectiveness.