On the coincidence of optimal completions for small pairwise comparison matrices with missing entries

Autor:	Csató, László, Ágoston, Kolos Csaba, Bozóki, Sándor
Rok vydání:	2022
Předmět:	Mathematics - Optimization and Control 90-10 90B50 91B08
Zdroj:	Annals of Operations Research, 333(1): 239-247, 2024
Druh dokumentu:	Working Paper
DOI:	10.1007/s10479-023-05586-x
Popis:	Incomplete pairwise comparison matrices contain some missing judgements. A natural approach to estimate these values is provided by minimising a reasonable measure of inconsistency after unknown entries are replaced by variables. Two widely used inconsistency indices for this purpose are Saaty's inconsistency index and the geometric inconsistency index, which are closely related to the eigenvector and the logarithmic least squares priority deriving methods, respectively. The two measures are proven to imply the same optimal filling for incomplete pairwise comparison matrices up to order four but not necessarily for order at least five. Comment: 10 pages, 1 figure
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2211.07976 Zobrazit plný text záznamu Plný text ve formátu PDF Plný text ve formátu HTML
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