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A practical approach for estimating weights of interacting criteria from profile sets

机译：一种从配置文件集中估计交互条件权重的实用方法

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摘要

Aggregating multi-criteria data is an important problem with many applications. Commonly-used additive aggregation methods, such as the weighted arithmetic mean, cannot account for the criteria interactions encountered in many practical multi-criteria decision problems. The Choquet integral is a suitable aggregation operator in the presence of interacting criteria. It replaces the weight vector with a fuzzy measure that models the importance of each subset or coalition of criteria, rather than just the importance of individual criteria. However, estimating the fuzzy measures in practice has been problematic. Conventional approaches are cognitively challenging for decision makers, while more recent approaches suffer from prohibitive data requirements. In this paper, we present a formulation for the weights of the Choquet integral that uses principal component analysis to account for criteria interaction. This novel unsupervised approach to estimating the required fuzzy measures overcomes the limitations of other methods. The approach is applied to two case studies in environmental and sustainability analysis, and the results are compared with those of the weighted arithmetic mean. The first case is a triple bottom line analysis of 135 Australian industry sectors evaluated against 11 criteria, while the second case is an environmental life cycle assessment of 8 alternative biosolids management options evaluated against 5 criteria. These examples demonstrate the ability of the proposed approach to account for criteria interaction in these and other decision contexts. (C) 2015 Published by Elsevier B.V.
机译：聚集多条件数据是许多应用程序中的重要问题。常用的累加聚合方法（例如加权算术平均值）无法解决许多实际的多准则决策问题中遇到的准则交互。在存在交互条件的情况下，Choquet积分是合适的聚合运算符。它用模糊量度代替了权重向量，该量度对每个子集或标准联盟的重要性进行建模，而不仅仅是对单个标准的重要性进行建模。但是，在实践中估计模糊测度一直存在问题。对于决策者而言，传统方法在认知上具有挑战性，而较新的方法则存在数据需求过高的问题。在本文中，我们为Choquet积分的权重提出了一个公式，该公式使用主成分分析来解释标准交互作用。这种新颖的无监督方法来估计所需的模糊度量，克服了其他方法的局限性。该方法应用于环境和可持续性分析的两个案例研究，并将结果与​​加权算术平均值进行比较。第一种情况是根据11项标准评估的135个澳大利亚工业部门的三重底线分析，而第二种情况是根据5项标准评估了8种生物固体替代管理方案的环境生命周期评估。这些示例说明了所提出方法在这些决策环境和其他决策环境中考虑标准交互作用的能力。 （C）2015由Elsevier B.V.发布

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