Some induced Einstein aggregation operators based on the data mining with interval-valued intuitionistic fuzzy information and their application to multiple attribute decision making

In this paper, we first introduce some operations on interval-valued intuitionistic fuzzy sets, such as Einstein sum, Einstein product, Einstein exponentiation, etc., and further develop the induced interval-valued intuitionistic fuzzy Einstein ordered weighted average (I-IVIFEOWA) 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 Einstein ordered weighted average (I-IVIFEOWA) operator based on the data mining to deal with multiple attribute decision making under interval-valued intuitionistic fuzzy environments. Finally, an illustrative example about selecting an ERP system is given to verify the developed approach and to demonstrate its practicality and effectiveness.