A method based on IA operator for multiple attribute group decision making with uncertain linguistic information

In this paper, we study the multiple attribute group decision making (MAGDM) problems, in which the information about the attribute weights and the expert weights are interval numbers, and the attribute values take the form of uncertain linguistic information. We introduce some operational laws of uncertain linguistic variables and a formula for comparing two uncertain linguistic variables, and propose a new aggregation operator called interval aggregation (IA) operator. Based on the IA operator and the formula for the comparison between two uncertain linguistic variables, we develop a method for MAGDM with uncertain linguistic information. Finally, an illustrative example is given to verify the developed method.