A method based on the interval grey linguistic variables weighted geometric aggregation operator is presented
to solve the multiple attribute group decision making problems, in which the attribute values and the weights take the
form of the interval grey linguistic variables(IGLV). Firstly, some properties are defined, such as the concept and the
relational calculation rules of IGLV. Then, some operators are defined, such as interval grey linguistic weighted geometric
aggregation operator, interval grey linguistic ordered weighted geometric aggregation operator, and interval grey linguistic
hybrid weighted geometric aggregation operator, which are utilized to solve the group decision making problems. Finally, an
illustrate example shows the decision-making steps and the effectiveness of this method.