// граничний обєднання
public static FuzzySet1D gUnion(FuzzySet1D f1, FuzzySet1D f2)
{
FuzzySet1D res = new FuzzySet1D();
foreach (KeyValuePair <double, double> pair in f1.dots)
{
double x = pair.Key;
res.AddDot(pair.Key, Math.Min(f1.Mu(x) + f2.Mu(x), 1));
}
foreach (KeyValuePair <double, double> pair in f2.dots)
{
double x = pair.Key;
res.AddDot(pair.Key, Math.Min(f1.Mu(x) + f2.Mu(x), 1));
}
return(res);
}
// альфа сума
public static FuzzySet1D alphaSum(FuzzySet1D f1, FuzzySet1D f2, double alpha)
{
FuzzySet1D res = new FuzzySet1D();
if (alpha > 1)
{
alpha = 1;
}
foreach (KeyValuePair <double, double> pair in f1.dots)
{
double x = pair.Key;
res.AddDot(pair.Key, alpha * f1.Mu(x) + (1 - alpha) * f2.Mu(x));
}
foreach (KeyValuePair <double, double> pair in f2.dots)
{
double x = pair.Key;
res.AddDot(pair.Key, alpha * f1.Mu(x) + (1 - alpha) * f2.Mu(x));
}
return(res);
}
public static FuzzySet1D operator |(FuzzySet1D f1, FuzzySet1D f2)
{
if ((!f1.discrete && f2.discrete) || (f1.discrete && !f2.discrete))
{
MessageBox.Show("Операцію об'єднання можна робити тільки над множинами одного типу");
return(null);
}
if (f1.discrete && f2.discrete)
{
FuzzySet1D res = new FuzzySet1D();
foreach (KeyValuePair <double, double> pair in f1.dots)
{
res.AddDot(pair.Key, Math.Max(pair.Value, f2.Mu(pair.Key)));
}
foreach (KeyValuePair <double, double> pair in f2.dots)
{
res.AddDot(pair.Key, Math.Max(pair.Value, f1.Mu(pair.Key)));
}
return(res);
}
else
{
FuzzySet1D res = new FuzzySet1D();
res.Discrete = false;
foreach (KeyValuePair <double, double> pair in f1.dots)
{
double x = pair.Key;
double y = Math.Max(pair.Value, f2.Mu(pair.Key));
res.AddDot(pair.Key, Math.Max(pair.Value, f2.Mu(pair.Key)));
}
foreach (KeyValuePair <double, double> pair in f2.dots)
{
double x = pair.Key;
double y = Math.Max(pair.Value, f1.Mu(pair.Key));
res.AddDot(pair.Key, Math.Max(Math.Max(pair.Value, f1.Mu(pair.Key)), res.Mu(pair.Key)));
}
return(res);
}
}
