Arrow's theorem, multi-criteria decision problems and multi-attribute preferences in engineering design
Arrow's theorem, multi-criteria decision problems and multi-attribute preferences in engineering design
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DOI：
10.1007/s00163-004-0057-5
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发表时间：
2005-11-01
影响因子：
3.2
通讯作者：
Franssen, M
中科院分区：
文献类型：
--
作者：
Franssen, M
阿罗定理限制了将一组选项的不同偏好顺序转化为单一偏好顺序。在本文中，我认为，反对意见相反，阿罗定理完全适用于多准则决策问题，因为它们发生在工程设计中，使解决方法等问题受到定理的负面结果。讨论了这一定理在工程设计中的意义和意义，并根据这一定理对工程设计文献中这类问题的求解方法进行了评述。看来，这种方法的基础是两个根本不同的问题定义的混合，作为多属性偏好的理论，这往往是一个适当的方法，工程设计，实际上未能解决阿罗的多标准问题。最后，我建议如何工程设计可能采用的结果，从阿罗定理在其他地方解决其多标准决策问题的讨论。
Arrow's theorem poses limits to the translation of the different preference orders on a set of options into a single preference order. In this paper, I argue, against opinions to the contrary, that Arrow's theorem applies fully to multi-criteria decision problems as they occur in engineering design, making solution methods to such problems subject to the theorem's negative result. Discussing the meaning and consequences for engineering design, I review the solution methods to such problems presented in the engineering design literature in the light of the theorem. It appears that underlying such methods is a mix-up of two fundamentally different problem definitions, as the theory of multi-attribute preferences, which is often presented as an adequate approach for engineering design, in fact fails to address the Arrowian multi-criteria problem. Finally, I suggest ways how engineering design might adopt results from discussions of Arrow's theorem elsewhere in resolving its multi-criteria decision problems.