关键词: 多属性决策, 目标规划, 权重向量, 排序

Abstract: The multi-attribute decision making problems that the attribute weights（interval numbers） are partly known and the attribute values are numeric are investigated.By building single-goal linear programming models，locally optimal weight vectors of alternatives are respectively obtained.According to minimize deviation of globally optimal weight vector and locally optimal weight vector，goal-programming model are established，then by solving the single goal-programming that transferred goal-programming model obtained above into，globally optimal weight vector is obtained in this paper.And a new method based on two-step goal-programming model for multi-attribute decision-making is proposed.Finally，a practical example is given to illustrate that the method is feasible and effective.

Key words: multi-attribute decision-making, goal programming, weight vector, ranking priority