Consistency Analysis and Priority Weights for Pythagorean Fuzzy Preference Relations

The Pythagorean fuzzy set (PFS), introduced by Yager, is a generalization of the intuitionistic fuzzy set. The PFS is of great significance for the decision-making problem because it promotes the domain of intuitionistic fuzzy set. This paper aims to conduct the consistency analysis and priority weights for Pythagorean fuzzy preference relations (PFPRs). First, a consistency index to measure the multiplicative consistency of Pythagorean fuzzy preference relation (PFPR) is presented. Then, for the non-consistent PFPR, an iteration algorithm is put forward to adjust it to achieve acceptable consistency. Furthermore, an absolute deviation model is built to derive the priority weighting vector of PFPR. Finally, an illustrative example is provided to test and verify the effectiveness and applicability of the proposed method.