With respect to dynamic multiple attribute decision making problem, in which period weights and attribute weights of each period are given and attribute values at different periods are expressed in interval numbers, and a new decision making method is presented. According to the basic concept of the traditional VIKOR(Multicriteria optimization and compromise solution) method, integrating the operations of interval numbers, the evaluation values of each alternative at different periods are calculated. The total evaluation values of each alternative in interval numbers are obtained by the
introduction of UDWA(Uncertain dynamic weighted averaging) operator. Then, based on the possibility degree formula for the comparison between interval numbers and the priority formula of fuzzy complementary judgment matrix, the ranking of alternatives is obtained. A case study of a third-party reverse logistics providers (3PRLPs) selection is analyzed, and the results show the feasibility and efficiency of this proposed method.