Data Envelopment Analysis with Uncertain Inputs and Outputs

<table class="table-group" id="tab3"><tr><td><table class="table"><tr><td class="thead-hr" colspan="6"><hr/></td></tr><tr class="thead"><td align="left"><span style="width: 9.7749996px;"><svg height="7.9499998" id="M203" style="vertical-align:-0.1254pt" version="1.1" viewbox="0 0 9.7749996 7.9499998" width="9.7749996" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
<g transform="matrix(.017,-0,0,-.017,.062,7.675)"><path d="M545 106q-67 -118 -134 -118q-24 0 -40 37.5t-30 129.5h-2q-47 -72 -103 -119.5t-108 -47.5q-47 0 -76 45.5t-29 119.5q0 113 85 204t174 91q47 0 70 -33.5t43 -119.5h3q32 47 80 140l55 13l10 -9q-47 -80 -138 -201q17 -99 27.5 -136t22.5 -37q23 0 69 61zM333 204
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</svg></span></td><td align="center"> DMU<sub>1</sub></td><td align="center"> DMU<sub>2</sub></td><td align="center"> DMU<sub>3</sub></td><td align="center"> DMU<sub>4</sub></td><td align="center"> DMU<sub>5</sub></td></tr><tr><td class="thead-hr" colspan="6"><hr/></td></tr><tr><td align="left">0.5 </td><td align="center"> Inefficiency </td><td align="center"> Efficiency </td><td align="center"> Inefficiency </td><td align="center"> Efficiency </td><td align="center"> Efficiency </td></tr><tr><td align="left">0.6 </td><td align="center"> Inefficiency </td><td align="center"> Efficiency </td><td align="center"> Inefficiency </td><td align="center"> Efficiency </td><td align="center"> Efficiency </td></tr><tr><td align="left">0.7 </td><td align="center"> Inefficiency </td><td align="center"> Efficiency </td><td align="center"> Inefficiency </td><td align="center"> Efficiency </td><td align="center"> Efficiency </td></tr><tr><td align="left">0.8 </td><td align="center"> Inefficiency </td><td align="center"> Efficiency </td><td align="center"> Efficiency </td><td align="center"> Efficiency </td><td align="center"> Efficiency </td></tr><tr><td align="left">0.9 </td><td align="center"> Efficiency </td><td align="center"> Efficiency </td><td align="center"> Efficiency </td><td align="center"> Efficiency </td><td align="center"> Efficiency </td></tr><tr class="table-tr"><td colspan="6"><hr class="tbody-hr"/></td></tr></table></td></tr></table>

Results of evaluating the DMUs with different confidence level <svg height="7.9499998" id="M202" style="vertical-align:-0.1254pt" version="1.1" viewbox="0 0 9.7749996 7.9499998" width="9.7749996" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
<g transform="matrix(.017,-0,0,-.017,.062,7.675)"><path d="M545 106q-67 -118 -134 -118q-24 0 -40 37.5t-30 129.5h-2q-47 -72 -103 -119.5t-108 -47.5q-47 0 -76 45.5t-29 119.5q0 113 85 204t174 91q47 0 70 -33.5t43 -119.5h3q32 47 80 140l55 13l10 -9q-47 -80 -138 -201q17 -99 27.5 -136t22.5 -37q23 0 69 61zM333 204
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</svg>.

Journal of Applied Mathematics

Data Envelopment Analysis with Uncertain Inputs and Outputs

Table 3