An assurance interval for non-Archimedean $epsilon$ in imprecise data envelopment analysis(IDEA)

摘要

Park (2010) [8] presented a method to obtain the upper bound on efficiency in imprecise data envelopment analysis (IDEA) in which the envelopment model with imprecise data had been used. In this paper, we consider the dual model, the multiplier model, which involves the non-Archimedean element $epsilon$. Then, we define a model to determine the upper bound of $epsilon$. An assurance interval for the non-Archimedean element $epsilon$ is obtained in IDEA which is important when solving the model directly.