Comparing inconsistency of pairwise comparison matrices depending on entries

Abstract

Pairwise comparisons have been a long-standing technique for comparing alternatives/criteria and their role has been pivotal in the development of modern decision-making methods. Since several types of pairwise comparison matrices (e.g., multiplicative, additive, fuzzy) are proposed in literature, in this paper, we investigate, for which type of matrix, decision-makers are more coherent when they express their subjective preferences. By performing an experiment, we found that the additive approach provides the worst level of coherence.

Keywords:

• Multi-criteria decision-making
• pairwise comparison matrix
• consistency evaluation
• Abelian linearly ordered group
• behavioural operations research

Notes

No potential conflict of interest was reported by the authors.