With respect to attribute weights are interval number and attribute values are interval number, a multiple attributes decision-making method based on satisfied degree is proposed. By referring to the thought of the satisfied degree in C_OWA, the possibility-degree of interval number and the connection-number in set pair analysis, the satisfied-degree based on interval possibility and the satisfied degree based on connection-number are presented to Eliminate the uncertain information in decision data. These satisfied degrees are aggregated by OWA and rank the alternatives by the calculated values. The results of comparative experiment show the feasibility and efficiency of this proposed method.