public static Interval Calculate(Operation operation, Interval a, Interval b)
{
Interval result = new Interval();
switch (operation)
{
case Operation.Add:
result.UpperBound = a.UpperBound + b.UpperBound;
result.LowerBound = a.LowerBound + b.LowerBound;
break;
case Operation.Sub:
result.UpperBound = a.UpperBound - b.LowerBound;
result.LowerBound = a.LowerBound - b.UpperBound;
break;
case Operation.Mul:
result.UpperBound = Math.Max(Math.Max(a.UpperBound * b.UpperBound, a.UpperBound * b.LowerBound), Math.Max(a.LowerBound * b.UpperBound, a.LowerBound * b.LowerBound));
result.LowerBound = Math.Min(Math.Min(a.UpperBound * b.UpperBound, a.UpperBound * b.LowerBound), Math.Min(a.LowerBound * b.UpperBound, a.LowerBound * b.LowerBound));
break;
case Operation.Div:
if (b.UpperBound != 0 && b.LowerBound != 0)
{
result.UpperBound = Math.Max(Math.Max(a.UpperBound / b.UpperBound, a.UpperBound / b.LowerBound), Math.Max(a.LowerBound / b.UpperBound, a.LowerBound / b.LowerBound));
result.LowerBound = Math.Min(Math.Min(a.UpperBound / b.UpperBound, a.UpperBound / b.LowerBound), Math.Min(a.LowerBound / b.UpperBound, a.LowerBound / b.LowerBound));
}
break;
default:
break;
}
return result;
}
public Interval AlphaCut(decimal y)
{
Interval result = new Interval();
if (y < 0 || y > 1) return null;
if (y == 0)
{
result.LowerBound = BottomLeft;
result.UpperBound = BottomRight;
}
else if (y == 1)
{
result.LowerBound = TopLeft;
result.UpperBound = TopRight;
}
else //if (0 < y && y < 1)
{
result.LowerBound = y * (TopLeft - BottomLeft) + BottomLeft;
result.UpperBound = y * (TopRight - BottomRight) + BottomRight;
}
return result;
}
