Interval Malmquist Productivity Index in DEA
الموضوعات : International Journal of Data Envelopment Analysis
N. Aghayi
1
(Department of Mathematics, Ardabil Branch, Islamic Azad University, Ardabil, Iran)
B.H. Maleki
2
(Department of Mathematics, Ardabil Branch, Islamic Azad University, Ardabil, Iran)
الکلمات المفتاحية: Interval data, Directional distance function, Undesirable Output, Malmquist Productivity Index,
ملخص المقالة :
Data envelopment analysis is a method for evaluating the relative efficiency of a collection of decision making units. The DEA classic models calculate each unit’s efficiency in the best condition, meaning that finds a weight that the DMU is at its maximum efficiency. In this paper, utilizing the directional distance function model in the presence of undesirable outputs, the efficiency of each unit has been calculated in the best and worst condition and an efficiency interval for each DMU is designated and then with aid from these efficiency interval, we present an interval for each unit with a proportionate Malmquist productivity index, that these intervals indicate the progression or regression of each DMU.
[1] Aghayi, N. (2016). Revenue Efficiency Measurement with Undesirable Data in Fuzzy DEA. In Intelligent Systems, Modelling and Simulation (ISMS), 2016 7th International Conference on (pp. 109- 113). IEEE.
[2] Aghayi, N. (2017). Cost efficiency measurement with fuzzy data in DEA. Jornal of Inteligent and Fuzzy Systems. Journal of Intelligent & Fuzzy Systems 32 (1), 409-420.
[3] Aghayi, N., Maleki, B., (2016). Efficiency Measurement of DMUs with Undesirable outputs under uncertainty based on the directional distance function: Application on Bank Industry. Energy, Energy 112, 376-387.
