Linear optimization modeling of consistency issues in group decision making based on fuzzy preference relations

► This paper focuses on several consistency issues of fuzzy preference relations, such as individual consistency construction, consensus model and management of incomplete fuzzy preference relations. ► This paper proposes linear optimization models for solving these consistency issues on fuzzy preference relations. ► Our proposal optimally preserves original preference information in constructing individual consistency and reaching consensus, and maximizes the consistency level in calculating the missing values of incomplete fuzzy preference relations.