Table 4 Objection function values and corresponding preference-based indices under different optimism degrees of Example 3
From: A novel approach based on preference-based index for interval bilevel linear programming problem
γ | \(\boldsymbol {(x^{*},y^{*})}\) | \(\boldsymbol {F^{I}}\) | \(\boldsymbol {\delta^{F}}\) |
|---|---|---|---|
0.3 | [12.4317,9.2434] | [−9.2434,−4.6217] | 1.4865 |
0.5 | [12.4317,9.2434] | [−9.2434,−4.6217] | 1.6082 |
0.7 | [12.4317,9.2434] | [−9.2434,−4.6217] | 1.7298 |
0.9 | [9.1441,11.0] | [−11,−5.5] | 2.0316 |