Csató, László and Ágoston, Kolos Csaba and Bozóki, Sándor (2024) On the coincidence of optimal completions for small pairwise comparison matrices with missing entries. ANNALS OF OPERATIONS RESEARCH, 333 (1). pp. 239-247. ISSN 0254-5330 10.1007/s10479-023-05586-x

Text Csato_239_34135210_ny.pdf Download (292kB)

Abstract

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.

Item Type:	Article
Uncontrolled Keywords:	Decision analysis; analytic hierarchy process (AHP); D71; eigenvalue method; Incomplete pairwise comparisons; Logarithmic least squares method; C44; 90-10;
Subjects:	Q Science > QA Mathematics and Computer Science > QA75 Electronic computers. Computer science / számítástechnika, számítógéptudomány
Divisions:	Research Laboratory on Engineering & Management Intelligence > Research Group of Operations Research and Decision Systems
SWORD Depositor:	MTMT Injector
Depositing User:	MTMT Injector
Date Deposited:	09 Feb 2024 07:07
Last Modified:	09 Feb 2024 07:07
URI:	https://eprints.sztaki.hu/id/eprint/10696

Update Item