Title: Measurement of overall performances of decision-making units in the presence of interval data

Authors: Alireza Amirteimoori; Sohrab Kordrostami; Hossein Azizi

Addresses: Department of Applied Mathematics, Rasht Branch, Islamic Azad University, Rasht, Iran ' Department of Applied Mathematics, Lahidjan Branch, Islamic Azad University, Lahidjan, Iran ' Department of Applied Mathematics, Parsabad Moghan Branch, Islamic Azad University, Parsabad Moghan, Iran

Abstract: In this paper, for performance measurement of decision making units (DMUs) with interval data, it is suggested to integrate the efficiencies obtained from optimistic and pessimistic views in the form of an interval. The upper bound of efficiency interval from the optimistic view is obtained based on the most favourable position of each DMU using a set of the most favourable weights. The lower bound of efficiency interval from the pessimistic view is obtained based on the most unfavourable position of each DMU using a set of the most unfavourable weights. The obtained efficiency interval shows all possible evaluations from different perspectives. Thus, the efficiency interval provides the decision-maker with all possible efficiency values, reflecting different views. Two numerical examples will show the proposed data envelopment analysis approach.

Keywords: data envelopment analysis; DEA; double frontier analysis; interval data; optimistic efficiency interval; pessimistic efficiency interval; overall efficiency interval; DMU performance; decision making units; performance measurement.

DOI: 10.1504/IJOR.2017.082607

International Journal of Operational Research, 2017 Vol.28 No.4, pp.429 - 447

Received: 18 Mar 2014
Accepted: 26 Jul 2014
Published online: 03 Mar 2017 *

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