Non-discretionary imprecise data in efficiency Measurement

Subject Areas : Mathematical Optimization

S  Razavyan ¹ (Assistant Professor, Dep. of Mathematics, Islamic Azad University, South- Tehran Branch, Tehran, Iran)
G  Tohidi ² (Assistant Professor, Dep. of Mathematics, Islamic Azad University, Tehran-Central Branch, Tehran, Iran)

Received: 2015-05-18 Accepted : 2015-05-18 Published : 2011-06-01

Keywords: Data Envelopment Analysis (DEA), Efficiency, Non-discretionary data, Imprecise data,

Abstract :

This paper introduces discretionary imprecise data in Data Envelopment Analysis (DEA) and discusses the efficiency evaluation of Decision Making Units (DMUs) with non-discretionary imprecise data. Then, suggests a method for evaluation the efficiency of DMUs with non-discretionary imprecise data. When some inputs and outputs are imprecise and non-discretionary, the DEA model becomes non-linear programming problem. By a Theorem, we use the translation of imprecise data into exact data and then use the standard linear DEA model for evaluating DMUs with non-discretionary and imprecise data, which is the generalized form of envelopment form in input oriented of CCR model. To illustrate the proposed method, a numerical example with non-discretionary imprecise data is solved.