Intuitionistic Multiplicative Group Analytic Hierarchy Process and Its Use in Multicriteria Group Decision-Making

As an extension of multiplicative preference relations (MPRs), intuitionistic MPRs (IMPRs) reflect experts' hesitant quantitative judgments. This paper presents an intuitionistic multiplicative preference information-based group analytic hierarchy process (AHP) and develops an intuitionistic multiplicative group AHP (IMGAHP), which addresses multicriteria group decision-making (MCGDM) that uses IMPRs to capture experts' preference judgments. First, we introduce a consistency index to gauge the consistency of IMPRs and describe the concept of acceptably consistent IMPRs. Second, we propose an algorithm for repairing an inconsistent IMPR to an acceptable level. Third, we propose an aggregation operator to integrate acceptably consistent IMPRs into a collective IMPR with acceptable consistency. We also propose an approach to derive an intuitionistic multiplicative priority weight vector from an acceptably consistent IMPR. An IMGAHP method is then described as a means of solving an MCGDM process with IMPRs. Finally, a practical example and comparative analysis are presented.