International Journal of Nonlinear Analysis and Applications

The effect of weight control and weighing method of efficiency in data envelopment analysis

Document Type : Research Paper

Authors

1 Department of Mathematics, Tabriz Branch, Islamic Azad University, Tabriz, Iran

2 Department of Mathematics, Central Tehran Branch, Islamic Azad University, Tehran, Iran

3 Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran

Abstract

Data Envelopment Analysis (DEA) determines the efficiency of decision-making units. Weight restrictions in a model with weight restrictions (WR) are considered to determine the efficiency of units, depending on the importance of indicators (inputs and outputs). Since weight plays an important role in the efficiency and ranking of options, in this paper we examine the effect of the type of weighting method of indices in the calculation of the efficiency of decision-making units. It should be noted that change is not applied in decision-making units but in the weighting method in order to understand the effect of different weighting methods in the calculation of efficiency: that is, the efficiency of a unit is calculated with a variety of weighting methods and the impact of the type of weighting method on the indicators is evaluated in the calculation of the efficiency of that unit. In this study, we showed that the efficiency of each unit is affected by weighting methods and that the efficiency of each unit at each change in the weighting method assigns a different value to itself.

Keywords

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International Journal of Nonlinear Analysis and Applications
Volume 14, Issue 3
March 2023
Pages 103-112
  • Receive Date: 06 July 2022
  • Revise Date: 06 September 2022
  • Accept Date: 13 September 2022