Ranking method for interval numbers reciprocal judgment matrix based on goal programming and relative superiority degree

With regard to the multi-objective decision making problems, in which the preference information provided by the decision maker on alternatives takes the form of interval numbers reciprocal judgment matrix. Firstly, some concepts, such as interval numbers consistent reciprocal judgment matrix, relative superiority degree, etc, are given. Secondly, a goal programming model is established and the weight vector of interval numbers reciprocal judgment matrix is obtained by solving the model. The alternatives are ranked by using the sum of relative superiority degree on each alternative. A new priority method for interval numbers reciprocal judgment matrix is proposed. It is characterized by simple operation and easy to implement on a computer. Finally, a practical example is illustrated to show the feasibility and availability of the developed method.