A priority-based intuitionistic multiplicative UTASTAR method and its application in low-carbon tourism destination selection

Abstract

The intuitionistic multiplicative preference relation extends Saaty’s multiplicative preference relation by membership and non-membership functions to describe decision-makers’ preferences on objects (alternatives or criteria), and the product of pairwise membership and non-membership degrees is less than or equal to one. In recent years, the intuitionistic multiplicative preference relation has attracted increasing attention and many methods have been proposed to handle multiple criteria decision making (MCDM) problems. However, few of the existing methods can be used to tackle the MCDM problems with both quantitative and qualitative criteria. To overcome this challenge, in this paper, a novel MCDM method called the priority-based intuitionistic multiplicative UTASTAR method is proposed, which combines a new intuitionistic multiplicative prioritization method and the UTASTAR method within the context of intuitionistic multiplicative sets. The consistency checking and improving processes are considered in the weight-determining method. A case study regarding the low-carbon tourism destination selection is adopted to illustrate the applicability of the proposed method. The effectiveness and superiority of the proposed method are further verified by comparative analyses and discussions.