Karbalaie Alillou, Monavar, Daneshian, Behrouz, Modarres Khiyabani, Farzin, Hosseinzadeh Lotfi, Farhad. (1401). The effect of weight control and weighing method of efficiency in data envelopment analysis. هنرهای کاربردی, 14(3), 103-112. doi: 10.22075/ijnaa.2022.28314.3858
Monavar Karbalaie Alillou; Behrouz Daneshian; Farzin Modarres Khiyabani; Farhad Hosseinzadeh Lotfi. "The effect of weight control and weighing method of efficiency in data envelopment analysis". هنرهای کاربردی, 14, 3, 1401, 103-112. doi: 10.22075/ijnaa.2022.28314.3858
Karbalaie Alillou, Monavar, Daneshian, Behrouz, Modarres Khiyabani, Farzin, Hosseinzadeh Lotfi, Farhad. (1401). 'The effect of weight control and weighing method of efficiency in data envelopment analysis', هنرهای کاربردی, 14(3), pp. 103-112. doi: 10.22075/ijnaa.2022.28314.3858
Karbalaie Alillou, Monavar, Daneshian, Behrouz, Modarres Khiyabani, Farzin, Hosseinzadeh Lotfi, Farhad. The effect of weight control and weighing method of efficiency in data envelopment analysis. هنرهای کاربردی, 1401; 14(3): 103-112. doi: 10.22075/ijnaa.2022.28314.3858

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

International Journal of Nonlinear Analysis and Applications
مقاله 9، دوره 14، شماره 3، خرداد 2023، صفحه 103-112    اصل مقاله (363.97 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22075/ijnaa.2022.28314.3858
نویسندگان
Monavar Karbalaie Alillou1؛ Behrouz Daneshian* 2؛ Farzin Modarres Khiyabani1؛ Farhad Hosseinzadeh Lotfi3
1Department of Mathematics, Tabriz Branch, Islamic Azad University, Tabriz, Iran
2Department of Mathematics, Central Tehran Branch, Islamic Azad University, Tehran, Iran
3Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran
چکیده
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.
کلیدواژه‌ها
efficiency؛ Data Envelopment Analysis؛ weighting constraints؛ weight restrictions؛ CCR
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