Abstract

Data Envelopment Analysis includes a wide range of mathematical models and is used for assessing the relative efficiency of a set of homogenous Decision Making Units (DMUs). Multiplicative DEA models achieve a set of weights for input and output variables for each DMU. Based on these weights, relative efficiency of each DMU is evaluated. Determining different weights for same factor in a set of homogenous DMUs is not realistic. To solve this problem, Common Set of Weights (CSW) is used. To improve the results of DEA models and reduce the weight flexibility, bootstrap method is used to determine a CSW. The aim of this article is to determine the CSW by finding a confidence interval for weights with bootstrap. By evaluating these intervals, a Probabilistic Common Set of Weights (PCSW) is obtained, which provides flexibility for weights.

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