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Measuring the Overall Performances of Decision-Making Units in the Presence of Imprecise Data

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Year: 2012
COI code: JR_JOIE-5-11_007
Paper Language: English

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Authors Measuring the Overall Performances of Decision-Making Units in the Presence of Imprecise Data

  Hossein Azizi - MSc, Parsabad Moghan Branch, Islamic Azad University, Parsabad Moghan, Iran
  Alireza Alireza - MSc, Qom Branch, Islamic Azad University, Qom, Iran
  Rasul Jahed - MSc, Germi Branch, Islamic Azad University, Germi, Iran


Data envelopment analysis (DEA) is a method for measuring the relative efficiencies of a set of decision-making units (DMUs) that use multiple inputs to produce multiple outputs. In this paper, we study the measurement of DMU performances in DEA in situations where input and/or output values are given as imprecise data. By imprecise data we mean situations where we only know that the actual values lie in certain intervals, or cases in which data are given only as ordinal relationships. In this paper, we present two distinct approaches obtaining the upper and lower bounds of efficiency which the DMU under evaluation can have with imprecise data. The optimistic approach seeks the best score among the various values of the efficiency score, while the pessimistic approach seeks the worst score. The main idea of the paper is illustrated using an example. Also, two real-world cases are presented to demonstrate how the efficiency interval is interpreted. The efficiency interval not only describes the actual situation in more detail, but also relieves the psychological pressure on all the evaluated DMUs and the decision-maker.


Data envelopment analysis; imprecise data; optimistic efficiency interval; pessimistic efficiency interval; overall efficiency interval

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COI code: JR_JOIE-5-11_007

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Azizi, Hossein; Alireza Alireza & Rasul Jahed, 2012, Measuring the Overall Performances of Decision-Making Units in the Presence of Imprecise Data, Journal of Optimization in Industrial Engineering 5 (11), the text, wherever referred to or an achievement of this article is mentioned, after mentioning the article, inside the parental, the following specifications are written.
First Time: (Azizi, Hossein; Alireza Alireza & Rasul Jahed, 2012)
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The University/Research Center Information:
Type: Azad University
Paper No.: 457
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