A goal programming method for generating priority weights based on interval-valued intuitionistic preference relations

Interval-valued intuitionistic preference relations are a powerful means to expressing a decision maker's uncertainty and hesitation about its preference over criteria in the process of multi-criteria decision making. In this paper, we define the notion of consistent interval-valued intuitionistic preference relations. Goal programming models are established for generating priority interval weights based on interval-valued intuitionistic preference relations. Two illustrative numerical examples are furnished to demonstrate how to apply the approach.