Induced Interval-Valued Intuitionistic Fuzzy OWG Operator

With respect to multiple attribute group decision making (MAGDM) problems in which both the attribute weights and the expert weights take the form of real numbers, attribute values take the form of interval-valued intuitionistic fuzzy numbers, a new group decision making analysis method is developed. Firstly, a new aggregation operator called induced interval-valued intuitionistic fuzzy ordered weighted geometric (I-IIFOWG) operator is proposed, and some desirable properties of the I-IIFOWG operators are studied, such as commutativity, idempotency and monotonicity. An I-IIFOWG and IIFWGM operators-based approach is developed to solve the MAGDM under the interval-valued intuitionistic fuzzy environment. Finally, an illustrative example is given to verify the developed approach.