Exponent-Transformation-Based Multiplicative Consistency of Intuitionistic Fuzzy Preference Relation and Its Application in Green Supplier Selection

The multiplicative transitivity of intuitionistic fuzzy preference relations has been widely studied. Nevertheless, when the membership and non-membership degrees are 0, the multiplicative transitivity has a 2/3 probability to make errors. To address this issue, the exponent transformation functions of membership and non-membership degrees of intuitionistic fuzzy preference values are proposed. Based on these functions, the exponent-transformation-based multiplicative transitivity of an intuitionistic fuzzy preference relation is defined. To improve the inconsistency degree of an IFPR, a model is set up based on linear programming. A case study on green supplier selection is given to demonstrate the reliability of the proposed method in improving the inconsistency of an intuitionistic fuzzy preference relation.