Multiplicative Utility Functions

Multiplicative Utility Functions
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DOI:
10.1287/opre.22.1.22
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发表时间:
1974-02
期刊:
Oper. Res.
影响因子:
--
通讯作者:
R. Keeney
R. Keeney
中科院分区:
其他
文献类型:
--
作者:
R. Keeney

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给出了多属性效用函数可乘或可加的充分条件。暗示主要结果的必要假设的数量等于属性的数量。由于这些假设一次只涉及两个属性之间的权衡,或者涉及一个属性上的抽奖,因此有理由期待决策者能够确定这些假设是否适合他们的特定问题。文中给出了验证假设和评估所得到的效用函数的步骤。文章最后概述了该结果在与墨西哥城机场设施发展有关的六个属性问题中的应用。
This paper presents sufficient conditions for a multiattribute utility function to be either multiplicative or additive. The number of requisite assumptions to imply the main result is equal to the number of attributes. Because the assumptions involve only trade-offs between two attributes at a time or lotteries over one attribute, it is reasonable to expect that decision makers can ascertain whether these assumptions are appropriate for their specific problems. Procedures are given for verifying the assumptions and assessing the resulting utility functions. The paper concludes with a sketch of a recent application of the results to a six-attribute problem relating to the development of Mexico City's airport facilities.