Revisiting Additive Consistency of Hesitant Fuzzy Linguistic Preference Relations

Consistency has always been a hot topic in the study of decision-making based on preference relations. This paper focuses consistency hesitant fuzzy linguistic relations (HFLPRs). Firstly, new definition additive HFLPRs is given. Secondly, to examine whether an HFLPR additively consistent, two equivalent programming models are constructed. Thirdly, for inconsistent HFLPRs, corresponding improvement model further proposed, where only upper triangular elements considered view symmetry HFLPRs. Using model, can be adjusted consistent one, which retains original information as much possible. Fourthly, weight vector introduced and constructed derive vector. Finally, feasibility effectiveness proposed method illustrated by numerical examples comparative analysis. result demonstrates that considers each element such derived fully retain information. Moreover, some values adjusted, no value out range predefined HFLTSs.