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Algorithmic Detection of Rank Reversals, Transitivity Violations, and Decomposition Inconsistencies in Multi-Criteria Decision Analysis
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本文提出三种检测Rank Reversals的方法,并探讨其在Scikit-Criteria库中的实现及一般场景下的应用问题,旨在提升多标准决策方法的效果评估。

arXiv:2508.00129v1 Announce Type: new Abstract: In Multi-Criteria Decision Analysis, Rank Reversals are a serious problem that can greatly affect the results of a Multi-Criteria Decision Method against a particular set of alternatives. It is therefore useful to have a mechanism that allows one to measure the performance of a method on a set of alternatives. This idea could be taken further to build a global ranking of the effectiveness of different methods to solve a problem. In this paper, we present three tests that detect the presence of Rank Reversals, along with their implementation in the Scikit-Criteria library. We also address the complications that arise when implementing these tests for general scenarios and the design considerations we made to handle them. We close with a discussion about how these additions could play a major role in the judgment of multi-criteria decision methods for problem solving.

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多标准决策分析 Rank Reversals Scikit-Criteria 效果评估 方法检测
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