SBM and Bipolar Models in Data Envelopment Analysis with Interval Data

Authors:
Masahiro Inuiguchi;Fumiki Mizoshita
Affiliations:
Graduate School of Engineering Science, Osaka University, Osaka, Japan 560-8531;Graduate School of Engineering Science, Osaka University, Osaka, Japan 560-8531
Venue:
MDAI '08 Sabadell Proceedings of the 5th International Conference on Modeling Decisions for Artificial Intelligence
Year:
2008

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Abstract

Under interval input-output data, 25 qualitative different efficiencies have been proposed. In this paper, SBM models for DEA with interval input-output data are investigated in order to introduce quantitative evaluation. It is shown that SBM models for 14 efficiencies are reduced to linear programming problems. Moreover, in order to evaluate decision making units in a negative way, we generalize the inverted DEA into the case of interval input-output data. Evaluation based on efficiency-inefficiency scores is investigated.