MULTIPLICATIVE CONSISTENCY OF HESITANT-INTUITIONISTIC FUZZY PREFERENCE RELATIONS AND ITS MULTI-CRITERIA DECISION-MAKING METHOD

Multi-criteria decision-making problems are ubiquitous in daily life. This study is concerned with multi-criteria decision-making problems using hesitant-intuitionistic fuzzy preference relations. Such relations can not only represent the preference information and non-preference information of decisionmakers, but also reflect their hesitancy. Experts provide hesitant-intuitionistic fuzzy preference relations by comparing alternatives. To ensure the rationality of the decision results, we propose multiplicative consistent hesitant-intuitionistic fuzzy preference relations, acceptable multiplicative consistency, and a consistency adjustment algorithm. By adjusting the elements with the highest level of inconsistency, acceptable multiplicative consistency is achieved while minimizing changes to the original information. A multi-criteria decision-making method based on hesitant-intuitionistic fuzzy preference relations is proposed and applied in an example. Finally, a comparative analysis is presented to show the superiority of the method.