Estimation of undesirable outputs and desirable inputs along with efficiency improving for DMUs with interval data

Subject Areas : Statistics

Farhad  taher ¹ (Department of Mathematics, Tabriz Branch, Islamic Azad University, Tabriz, Iran)
Behrouz  Daneshian ² (Department of Mathematic, Islamic Azad University, Central Tehran Branch, Tehran, Iran.)
ghasem  Tohidi ³ (Department of Mathematic, Islamic Azad University, Central Tehran Branch, Tehran, Iran.)
Farhad  Hosseinzadeh lotfi ⁴ (Department of Mathematic, Islamic Azad University, Science and Research Branch, Tehran, Iran.)
Farzin  Modarres Khiyabani ⁵ (Department of Mathematic, Islamic Azad University, Tabriz Branch, Tehran, Iran.)

Received: 2019-07-13 Accepted : 2020-10-19 Published : 2021-03-01

Keywords: داده‌های نامطلوب, DEA, داده‌های بازه‌ای, IDEA, MOLP,

Abstract :

Some researchers deals to estimation of some of the influences factors in efficiency score in which the DMU, maintains or improves its current efficiency level. This problems are considered in a general framework which is called inverse DEA. This paper studies the inverse data envelopment analysis. The issue of input or output estimation has been examined with improvement in unit efficiency.Therefore, in this paper, by increasing the level of undesirable inputs and the level of desired outputs of decision-making units along with improvements in the efficiency of the decision-maker, the level of changes in the level of desired inputs and the level of undesirable outputs is estimated. To do this, we consider the data as Interval data and then use the inverse DEA method using a multi-objective linear programming model (MOLP), so that the unit performance under evaluation is improved. The following is an applied example of the proposed method.

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