Abstract: We focus on studying the multi-objective decision making problems, in which the preference information provided by the decision maker takes the form of an interval numbers complementary judgment matrix. Firstly, the concept of interval numbers consistency complementary judgment matrix and its judgment theorem are given. Secondly, a goal programming model is established and the weight vector of interval numbers complementary judgment matrix is obtained by solving the model. Finally, the alternatives are ranked by using an existing priority formula of possibility. A goal programming method for interval numbers complementary judgment matrix is presented and characterized by simple operation and it is easy to implement on computer.

Key words: multi-objective decision-making, interval numbers consistency complementary judgment matrix, goal programming, possibility, priority