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 pr...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 decisionmaker'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.展开更多
基金supported by the Italian National Project‘DRIVERS:Approccio combinato data-driven ed experiencedriven all’analisi del rischio sistemico’funded by National Institute for Insurance Against Accidents at Work(Inail)[grant number BRIC2021-ID03]。
文摘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 decisionmaker'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.
