Strict vs. Weak Ordinal Relations for Multipliers in Data Envelopment Analysis
纠正了Golany（1988）关于DEA模型中权重序关系处理的数学错误，证明弱序关系需用非标准DEA模型，而严格序关系可用标准模型，适用于CCR、BCC、加性和乘性模型。
In a recent paper, Golany (1988) proposes an interesting extension of Data Envelopment Analysis to the situation where ordinal relations among weights corresponding to certain dimensions exist. However, the development of the extended model contains mathematical errors and the proposed equivalence is incorrect. We establish the correct model equivalence and prove that weak ordinal relations require a nonstandard DEA model. We also show that the case of strict ordinal relations can be handled with the standard DEA model. These results hold for the CCR, BCC, additive, and multiplicative models and for relations involving both input and output multipliers.