public bool IsConvex()
{
if (fun == null)
{
throw new Exception("incorect membership function");
}
System.Random random = new System.Random();
var alfa = new double[10];
for (int i = 0; i < 10; i++)
{
alfa[i] = random.NextDouble();
}
for (int i = 0; i < mSet.Count; i++)
{
for (int j = 0; j < mSet.Count; j++)
{
foreach (var singleAlfa in alfa)
{
var a = mSet[i].Item1;
var b = mSet[j].Item1;
var c = singleAlfa * a + (1 - singleAlfa) * b;
if (fun.Calc(c) < Math.Min(mSet[i].Item2, mSet[j].Item2))
{
return(false);
}
}
}
}
return(true);
}
public FuzzySet(double[] input, double[] value, IMembershipFunction memberShipFunction)
{
mSet.Clear();
for (int i = 0; i < input.Length; i++)
{
mSet.Add(new Tuple <double, double>(input[i], memberShipFunction.Calc(value[i])));
}
fun = memberShipFunction;
}