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Checking and adjusting order-consistency of linguistic pairwise comparison matrices for getting transitive preference relations

OR SpectrumPublished 31 August 2015
Wu‐E Yang, Chaoqun Ma, Zhi‐Qiu Han, Wenjun Chen
Citations10
SJR quartileQ1
SJR score0.89
SNIP1.32

TL;DR

This work introduces the equivalent conditions of (strong) transitivity by using route matrices and digraphs and develops an adjustment procedure to help decision makers correcting the inconsistency.

Abstract

Abstract Linguistic pairwise comparison matrices for decision-making need to be (strongly) order-consistent, which means the judgments should be (strongly) transitive. We introduce the equivalent conditions of (strong) transitivity by using route matrices and digraphs and develop an adjustment procedure to help decision makers correcting the inconsistency. The conclusion can extend to other ordinal-scaled or numerical comparison matrices as well.

Keywords

Computer ScienceDecision Sciences