… making (GDM) based on fuzzy preference relations, and includes two subproblems: individual
… optimization models for solving some issues on consistency of fuzzy preference relations, …

… ’ preference opinion in decision process, preference relations … In recent years, various
preference relations are investigated … preference relation [5], [6], [7], fuzzy preference relation [8], [9]…

… of ranking intuitionistic fuzzy preference relations (IFPRs) … isomorphic interval-value fuzzy
preference relations (IVFPRs), and … modeling steps and the optimization ordering models for …

… ; this paper constructs a new optimization-based consistency improvement mechanism. In
… consistency optimization model to effectively solve the decision-making problem with PLPR. …

… In this paper, an optimization model was developed on the basis of the cosine similarity …
multiplicative preference relations and fuzzy preference relations. The basic idea of the model is …

… preference relation (HFLPR) as a new preference relation is introduced to express the decision
makers’ (DMs’) hesitant preference … two-stage optimization and multiplicative consistency…

… on preference-based multi-objective optimization, including various preference modeling
methods and existing preference-… The main disadvantage is that the preference relation cannot …

… coefficients only in the objective functions can be solved by modifying traditional optimization
methods. As an example, we consider the analysis of fuzzy discrete optimization models. …

… At the same time, this paper applies a nonlinear optimization model to modify the inconsistent
PLPRs. It streamlines the complex adjustment process. In particular, the form of PLPRs …

… Therefore, to overcome the previous shortcomings in the HFLPR consistency and
consensus issues, this paper develops several new optimization models. To avoid as much …