Table 3 Normal distributions corresponding to interval coefficients in all the constraints of Example 3
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 | \(\boldsymbol {N(\mu,\sigma^{2})}\) |
|---|---|---|---|---|---|
[0.5,1] | N(0.75,0.08332) | [1.9,2] | N(1.95,0.01672) | [10,10.5] | N(10.25,0.08332) |
[−2,−1] | N(−1.5,0.16672) | [1,2] | N(1.5,0.16672) | [−6,−5] | N(−5.5,0.16672) |
[−3,−2] | N(−2.5,0.16672) | [0.5,1] | N(0.75,0.08332) | [−21,20] | N(−20.5,0.16672) |
[−2,−1] | N(−1.5,0.16672) | [−3,−2] | N(−2.5,0.16672) | [−38,−37] | N(−37.5,0.16672) |
[0.5,1] | N(0.75,0.08332) | [−3,−2] | N(−2.5,0.16672) | [−18,−17] | N(−17.5,0.16672) |