A goal programming model of obtaining the priority weights from an interval preference relation

The main aim of this paper is to investigate the weight vectors of interval fuzzy preference relations and interval multiplicative preference relations. In view of the excellent properties of multiplicative transitivity in modeling the consistency of fuzzy preference relations, based on the multiplicative consistency property, a goal programming model of obtaining the priority weights from an interval fuzzy preference relation is introduced along with some of its desired properties. The priority vector of a fuzzy preference relation can also be derived using this goal programming model, where the optimal value of the objective function is always equal to zero. Numerical examples are provided to illustrate the validity of the proposed model.