public static FuzzySet2D MaxMultCompose(FuzzySet2D R, FuzzySet2D S)
{
List <double> zList = new List <double>();
zList.AddRange(R.getUniqueX2());
zList.AddRange(S.getUniqueX1());
List <double> xList = new List <double>();
xList.AddRange(R.getUniqueX1());
List <double> yList = new List <double>();
yList.AddRange(S.getUniqueX2());
FuzzySet2D res = new FuzzySet2D();
foreach (double x in xList)
{
foreach (double y in yList)
{
double sup = 0;
foreach (double z in zList)
{
double tmp = R.Mu(x, z) * S.Mu(z, y);
if (tmp > sup)
{
sup = tmp;
}
}
res.AddDot(x, y, sup);
}
}
return(res);
}
public static FuzzySet2D MinMaxCompose(FuzzySet2D R, FuzzySet2D S)
{
List <double> zList = new List <double>();
zList.AddRange(R.getUniqueX2());
zList.AddRange(S.getUniqueX1());
List <double> xList = new List <double>();
xList.AddRange(R.getUniqueX1());
List <double> yList = new List <double>();
yList.AddRange(S.getUniqueX2());
FuzzySet2D res = new FuzzySet2D();
foreach (double x in xList)
{
foreach (double y in yList)
{
double inf = 1;
foreach (double z in zList)
{
double tmp = Math.Max(R.Mu(x, z), S.Mu(z, y));
if (tmp < inf)
{
inf = tmp;
}
}
res.AddDot(x, y, inf);
}
}
return(res);
}
public FuzzySet2D(FuzzySet2D fs) : this()
{
foreach (KeyValuePair <PairD, double> pair in fs.dots)
{
this.AddDot(pair.Key.X1, pair.Key.X2, pair.Value);
}
}
public static FuzzySet2D operator /(FuzzySet2D f1, FuzzySet2D f2)
{
if (!f1.discrete || !f2.discrete)
{
return(null);
}
FuzzySet2D res = new FuzzySet2D();
foreach (KeyValuePair <PairD, double> pair in f1.dots)
{
if (pair.Value - f2.Mu(pair.Key.X1, pair.Key.X2) > 0)
{
res.AddDot(pair.Key.X1, pair.Key.X2, pair.Value - f2.Mu(pair.Key.X1, pair.Key.X2));
}
}
return(res);
}
public static FuzzySet2D operator *(FuzzySet1D f1, FuzzySet1D f2)
{
if (!f1.discrete || !f2.discrete)
{
return(null);
}
FuzzySet2D res = new FuzzySet2D();
foreach (KeyValuePair <double, double> p1 in f1.dots)
{
foreach (KeyValuePair <double, double> p2 in f2.dots)
{
res.AddDot(p1.Key, p2.Key, Math.Min(p1.Value, p2.Value));
}
}
return(res);
}