Sorting of decision-making methods based on their outcomes using dominance-vector hesitant fuzzy-based distance

Multi-criteria decision-making (MCDM) techniques have attracted more and more scholars attention for their potential of application in many areas of human action. Although several contributions exist regarding comparative analysis of MCDM techniques, most of them are focused on demonstrating the similarities and differences of these methodologies in obtaining group decisions. However, the existing techniques comparing MCDM methods to investigate the most suitable ranking method for the case study have a critical shortcoming that limits their application to just MCDM methods resulting in total ranking order. This work contributes to reduce this shortcoming by establishing a correspondence between a non-total ranking order and a set of total ranking orders what we will call dominance-vector hesitant fuzzy set.