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Characterising ranking stability in interval pairwise comparison matrices.
- Source :
- Journal of Control & Decision; Jul2024, Vol. 11 Issue 3, p460-471, 12p
- Publication Year :
- 2024
-
Abstract
- Relative pairwise comparisons represent the cornerstone for several decision-making methods. Such approaches aim to support complex decision-making situations with multiple alternatives and are essential in order to provide an overall absolute evaluation of the alternatives despite the presence of experts and/or decision-makers with conflicting opinions. Moreover, when decision-maker's opinions are affected by uncertainty, there is the need to analyse the effect of such uncertain measures on the result of the decision-making process. We propose an approach based on a multi-objective optimisation problem, able to identify the presence of rank reversal issues in order to evaluate the stability of the final outcome of the decision-making process and a metric able to support experts in evaluating the effects of their uncertainty. We characterise the robustness of the ranking with respect to rank reversal by identifying a perturbation that is as small as possible, while causing the maximum number of ordinal swaps. [ABSTRACT FROM AUTHOR]
- Subjects :
- ORDINAL numbers
DECISION making
Subjects
Details
- Language :
- English
- ISSN :
- 23307706
- Volume :
- 11
- Issue :
- 3
- Database :
- Complementary Index
- Journal :
- Journal of Control & Decision
- Publication Type :
- Academic Journal
- Accession number :
- 180040968
- Full Text :
- https://doi.org/10.1080/23307706.2023.2179551