Table 3 Numerical example 1
From: Overall profit Malmquist productivity index under data uncertainty
DMUj | \((\underline {B}^{t}_{j}(x^{t}_{j},y^{t}_j),\overline {B}^{t}_{j}(x^{t}_{j},y^{t}_j))\) | \((\underline {B}^{t+1}_{j}(x^{t+1}_{j},y^{t+1}_j),\overline {B}^{t+1}_{j}(x^{t+1}_{j},y^{t+1}_j))\) | \((\underline {D}^{t}_{j}(x^{t+1}_{j},y^{t+1}_j),\overline {D}^{t}_{j}(x^{t+1}_{j},y^{t+1}_j))\) | \((\underline {D}^{t+1}_{j}(x^{t}_{j},y^{t}_j),\overline {D}^{t+1}_{j}(x^{t}_{j},y^{t}_j))\) | \(\underline {M}_{j}\) | \(\overline {M}_{j}\) |
|---|---|---|---|---|---|---|
1 | [0.733,1.404] | [0.493, 1.547] | [0.239,1.548] | [0.036,1.279] | 0.459 | 1.887 |
2 | [0.918,1.435] | [0.143,1.673] | [0.190,1.412] | [0.453,0.765] | 0.1434 | 1.450 |
3 | [0.687, 1.001] | [0.998,1.09] | [0.0381,1.565] | [0.503,1.674] | 0.246 | 2.975 |
4 | [0.322,1.376] | [0.383, 1.402] | [0.323,1.316] | [0.100,1.807] | 1.665 | 1.809 |
5 | [0.209,1.173] | [0.001,1.143] | [0.361,1.322] | [0.296,1.354] | 0.217 | 1.614 |