Finding common weights based on the DM's preference information

G R Jahanshahloo, M Zohrehbandian, A Alinezhad, S Abbasian Naghneh, H Abbasian and R Kiani Mavi
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G R Jahanshahloo: Islamic Azad University–Science and Research Branch, Tehran, Iran
M Zohrehbandian: Islamic Azad University–Karaj Branch, Iran
A Alinezhad: Islamic Azad University–Qazvin Branch, Iran
S Abbasian Naghneh: Islamic Azad University–Karaj Branch, Iran
H Abbasian: Islamic Azad University–Karaj Branch, Iran
R Kiani Mavi: Islamic Azad University–Qazvin Branch, Iran

Journal of the Operational Research Society, 2011, vol. 62, issue 10, 1796-1800

Abstract: Data Envelopment Analysis (DEA) is basically a linear programming-based technique used for measuring the relative performance of organizational units, referred to as Decision Making Units (DMUs). The flexibility in selecting the weights in standard DEA models deters the comparison among DMUs on a common base. Moreover, these weights are not suitable to measure the preferences of a decision maker (DM). For dealing with the first difficulty, the concept of common weights was proposed in the DEA literature. But, none of the common weights approaches address the second difficulty. This paper proposes an alternative approach that we term as ‘preference common weights’, which is both practical and intellectually consistent with the DEA philosophy. To do this, we introduce a multiple objective linear programming model in which objective functions are input/output variables subject to the constraints similar to the equations that define production possibility set of standard DEA models. Then by using the Zionts–Wallenius method, we can generate common weights as the DM's underlying value structure about objective functions.

Date: 2011
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