This work considers efficiency measures in data envelopment analysis with non-L-R type fuzzy data. It shows that the relative efficiencies of decision-making units with non-L-R type fuzzy inputs and outputs can be measured by solving an optimization problem on a mixed domain. The necessary and sufficient conditions for solving the result- ing optimization problems are then investigated. This is the first attempt to measure fuzzy efficiency in data envelop-ment analysis in view of optimization problems on a mixed domain.

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