A novel method to derive the intuitionistic multiplicative priority vector for the intuitionistic multiplicative preference relation

Abstract

Consistency is related with reasonableness of the priority vector derived from a preference relation. In this paper, it is pointed out by an example that the existing consistency for the intuitionistic multiplicative preference relations (IMPR) is weak that the ranking or the optimal alternative could not always be derived from the given consistent IMPR. We provide a novel consistency for the IMPRs by the score function and accuracy function and characterize it with the S-normalized and A-normalized intuitionistic multiplicative priority vectors (IMPV). Then, we propose methods to check and reach the S-normalization, the acceptable consistency of the IMPR by its local IMPVs. We also give some examples to show how the proposed methods work and make comparisons with the existing methods to demonstrate the advantages and disadvantages of the proposed methods.