Idea and Ar-Idea: Models for Dealing with Imprecise Data in Dea
Management Science
Data Envelopment Analysis: A Comprehensive Text with Models, Applications, References and DEA-Solver Software
Interval efficiency assessment using data envelopment analysis
Fuzzy Sets and Systems
A robust optimization approach for imprecise data envelopment analysis
Computers and Industrial Engineering
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A recent development in data envelopment analysis DEA concerns the introduction of a piece-wise linear representation of the virtual inputs and/or outputs as a means to model situations where the marginal value of an output input is assumed to diminish increase as the output input increases. Currently, this approach is limited to crisp data sets. In this paper, the authors extend the piece-wise linear approach to interval DEA, i.e. to cases where the input/output data are only known to lie within intervals with given bounds. The authors also define appropriate interval segmentations to implement the piece-wise linear forms in conjunction with the interval bounds of the input/output data and the authors propose a new models, compliant with the interval DEA methodology. They finally illustrate their developments with an artificial data set.