Abstract: With respect to multiattribute decision making problems in which the attribute values take the form of intuitionistic linguistic numbers, a risk preference parameter was introduced to mirror decision maker’s mentality, and based on the influence of the hesitancy degree of intuitionistic linguistic number on the score, a risk score function was defined for ranking intuitionistic linguistic numbers, then  a method for multiattribute decision making was given based on the risk score function of intuitionistic linguistic numbers. Finally, the effectiveness and applicability of the proposed method were illustrated by an illustrative example.