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Looking into the literature reveals that conventional data envelopment analysis (DEA) models assume non-negative inputs and outputs in which the status of each measure is known as either input or output. However, occasions arise where a measure can play either input or output roles and can take negative values. Emrouznejad et al., (2010a) [Emrouznejad A, Anouze A.L and Thanassoulis E (2010a)A semi-oriented radial measure for measuring the efficiency of decision making units with negative data, using DEA. European Journal of Operational Research, 200, 297-304. ] introduced a Semi-Oriented Radial Measure (SORM) for modeling DEA with negative data. The current paper presents a modification of the SORM model to accommodate such flexible measures, and indeed a model is proposed to evaluate the efficiency of decision making units (DMUs) where flexible and negative data exist. Several examples illustrate the proposed approach.

Keywords

Data Envelopment Analysis, Negative Data in Dea, Flexible Measure, Efficiency
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