Aggregating Intuitionistic Fuzzy Preference Relations with Symmetrical Intuitionistic Fuzzy Bonferroni Mean Operators in Group Decision Making

Abstract

As a useful aggregation technique, the Bonferroni mean can capture the interrelationship between input arguments and has been a hot research topic, especially, in intuitionistic fuzzy environment. In this paper, it is pointed out by an example that the existing intuitionistic fuzzy Bonferroni mean (IFBM) operators fail to satisfy the need in group decision making with intuitionistic fuzzy preference relations (IFPRs). Then, symmetrical intuitionistic fuzzy Bonferroni mean (SIFBM) operator and weighted SIFBM operator are developed to settle the above issue and some desirable properties of them are provided. Furthermore, an acceptable group multiplicative consistency of the IFPRs is introduced and a novel algorithm is established to jointly and stepwisely reach the acceptable group multiplicative consistency and consensus of IFPRs in group decision making. Finally, numerical examples are given to illustrate the effectiveness of the proposed method and comparisons with the existing methods are made to demonstrate the advantages of the proposed method.