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

Karbalaie Alillou, Monavar; Daneshian, Behrouz; Modarres Khiyabani, Farzin; Hosseinzadeh Lotfi, Farhad

doi:10.22075/ijnaa.2022.28314.3858

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

Document Type : Research Paper

Authors

Monavar Karbalaie Alillou ¹

Behrouz Daneshian ²

Farzin Modarres Khiyabani ¹

Farhad Hosseinzadeh Lotfi ³

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

10.22075/ijnaa.2022.28314.3858

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

efficiency

Data Envelopment Analysis

weighting constraints

weight restrictions

CCR

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