Intuitionistic weight generation approach from intuitionistic preference relations

In this paper, the consistency and priority method of intuitionistic preference relation are studied. We define the concepts of intuitionistic vector, certain intuitionistic vector, interval intuitionistic vector, normalized intuitionistic vector, consistent intuitionistic preference relation and satisfactory consistent intuitionistic preference relation. Simple yet pragmatic methods are developed to check whether an intuitionistic preference relation is of consistency (of satisfactory consistency) or not. Then, we establish programming models for estimating interval intuitionistic priority vector from intuitionistic preference relations. Finally, we provide two examples to illustrate the validity and practicality of the proposed methods.