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01.07.2016 | Regular Article

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

verfasst von: Wu-E Yang, Chao-Qun Ma, Zhi-Qiu Han, Wen-Jun Chen

Erschienen in: OR Spectrum | Ausgabe 3/2016

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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.

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Titel: Checking and adjusting order-consistency of linguistic pairwise comparison matrices for getting transitive preference relations
verfasst von: Wu-E Yang
Chao-Qun Ma
Zhi-Qiu Han
Wen-Jun Chen
Publikationsdatum: 01.07.2016
Verlag: Springer Berlin Heidelberg
Erschienen in: OR Spectrum / Ausgabe 3/2016
Print ISSN: 0171-6468
Elektronische ISSN: 1436-6304
DOI: https://doi.org/10.1007/s00291-015-0417-8

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