Search

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.

On the basis of geometric consistency (GCI) of multiplicative preference relations and the transformation relation between multiplicative preference relations and fuzzy preference relation, inconsistency measure of fuzzy preference relation and the thresholds associated with it are studied. A new satisfactory consistency concept of fuzzy preference relation is defined. For a fuzzy preference relation, which does not possess satisfactory consistency, an improving consistency approach is provided. Then, programming models for estimating interval priority weights from fuzzy preference relations is established. Finally, an example is given to illustrate the validity and practicality of the proposed methods.