Ishizaka, A and Siraj, S orcid.org/0000-0002-7962-9930 (2020) Interactive consistency correction in the analytic hierarchy process to preserve ranks. Decisions in Economics and Finance, 43 (2). pp. 443-464. ISSN 1593-8883
Abstract
The analytic hierarchy process is a widely used multi-criteria decision-making method that involves the construction of pairwise comparison matrices. To infer a decision, a consistent or near-consistent matrix is desired, and therefore, several methods have been developed to control or improve the overall consistency of the matrix. However, controlling the overall consistency does not necessarily prevent having strong local inconsistencies. Local inconsistencies are local distortions which can lead to rank reversal when a new alternative is added or deleted. To address this problem, we propose an algorithm for controlling the inconsistency during the construction of the pairwise comparison matrix. The proposed algorithm assists decision makers whilst entering their judgments and does not allow strong local inconsistencies. This algorithm is based on the transitivity rule and has been verified through statistical simulations. Appropriate thresholds of acceptable evaluations have been inferred from these simulations. We demonstrate that the proposed algorithm is a helpful decision aid to decision makers when entering pairwise comparison judgments.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | © Associazione per la Matematica Applicata alle Scienze Economiche e Sociali (AMASES) 2020. This is an author produced version of a journal article published in Decisions in Economics and Finance. Uploaded in accordance with the publisher's self-archiving policy. |
Keywords: | Decision making; Multi-criteria; AHP; Rank reversal; Consistency ratio |
Dates: |
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Institution: | The University of Leeds |
Academic Units: | The University of Leeds > Faculty of Business (Leeds) > Management Division (LUBS) (Leeds) > Management Division Decision Research (LUBS) |
Depositing User: | Symplectic Publications |
Date Deposited: | 10 Nov 2020 16:29 |
Last Modified: | 16 Jun 2022 10:30 |
Status: | Published |
Publisher: | Springer |
Identification Number: | 10.1007/s10203-020-00309-4 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:167778 |