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Noncompensatory/nonlinear composite indicators for ranking countries: a defensible setting

机译:排名国家的非补偿/非线性综合指标:合理的设定

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摘要

Composite indicators (or indexes) are very common in economic and business statistics for benchmarking the mutual and relative progress of countries in a variety of policy domains such as industrial competitiveness, sustainable development, globalization and innovation. The proliferation of the production of composite indicators by all the major international organizations is a clear symptom of their political importance and operational relevance in policy-making. As a consequence, improvements in the way these indicators are constructed and used seem to be a very important research issue from both the theoretical and operational points of view. This article aims at contributing to the improvement of the overall quality of composite indicators (or indexes) by looking at one of their technical weaknesses, that is, the aggregation convention used for their construction. For this aim, we build upon concepts coming from multi-criteria decision analysis, measurement theory and social choice. We start from the analysis of the axiomatic system underlying the mathematical modelling commonly used to construct composite indicators. Then a different methodological framework, based on noncompensatory/nonlinear aggregation rules, is developed. Main features of the proposed approach are: (i) the axiomatic system is made completely explicit and (ii) the sources of technical uncertainty and imprecise assessment are reduced to the minimum possible degree.
机译:综合指标(或指数)在经济和商业统计中非常普遍,用于衡量国家在各种政策领域(例如工业竞争力,可持续发展,全球化和创新)的相互和相对进步。所有主要国际组织都在增加综合指标的编制,这清楚地表明了它们在决策中的政治重要性和业务意义。因此,从理论和操作的角度来看,改善这些指标的构造和使用方式似乎是一个非常重要的研究问题。本文旨在通过研究复合指标(或指标)的技术弱点之一,即用于构建的汇总约定,为改善整体指标做出贡献。为此,我们基于来自多准则决策分析,度量理论和社会选择的概念。我们从对通常用于构建复合指标的数学模型的公理系统的分析开始。然后,开发了基于非补偿/非线性聚合规则的不同方法框架。所提出的方法的主要特征是:(i)公理化体系完全明确,并且(ii)技术不确定性和不精确评估的来源减少到最小程度。

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