Table 2 Normal distributions corresponding to interval coefficients in all the constraints of Example 2
From: A novel approach based on preference-based index for interval bilevel linear programming problem
Interval | \(\boldsymbol {N(\mu,\sigma^{2})}\) | Interval | \(\boldsymbol {N(\mu,\sigma ^{2})}\) | Interval | \(\boldsymbol {N(\mu,\sigma^{2})}\) |
|---|---|---|---|---|---|
\([\frac{34}{35},1]\) | N(0.9857,0.00482) | \([\frac{17}{10},2]\) | N(1.85,0.052) | \([10,\frac{51}{5}]\) | N(10.1,0.03332) |
\([-\frac{7}{6},-1]\) | N(−1.0833,0.02782) | \([\frac{7}{5},2]\) | N(1.7,0.12) | \([-6,-\frac{161}{30}]\) | N(−5.6833,0.10562) |
\([-\frac{5}{2},-2]\) | N(−2.25,0.08332) | \([\frac{1}{2},1]\) | N(0.75,0.08332) | [−21,−20] | N(−20.5,0.16672) |
\([-\frac{63}{40},-1]\) | N(−1.2875,0.09582) | \([-\frac{21}{10},-2]\) | N(−2.05,0.01672) | \([-38,-\frac{1407}{40}]\) | N(−36.5875,0.47082) |
\([\frac{7}{15},1]\) | N(0.7333,0.08892) | \([-\frac{21}{10},-2]\) | N(−2.05,0.01672) | \([-18,-\frac{84}{5}]\) | N(−17.4,0.22) |