private static void PrintExample5()
{
Console.WriteLine("EXAMPLE 5");
IDomain u1 = IDomain.IntRange(1, 5); // {1,2,3,4}
IDomain u2 = IDomain.IntRange(1, 4); // {1,2,3}
IDomain u3 = IDomain.IntRange(1, 5); // {1,2,3,4}
IFuzzySet r1 = new MutableFuzzySet(IDomain.Combine(u1, u2))
.Set(DomainElement.Of(1, 1), 0.3)
.Set(DomainElement.Of(1, 2), 1)
.Set(DomainElement.Of(3, 3), 0.5)
.Set(DomainElement.Of(4, 3), 0.5);
IFuzzySet r2 = new MutableFuzzySet(IDomain.Combine(u2, u3))
.Set(DomainElement.Of(1, 1), 1)
.Set(DomainElement.Of(2, 1), 0.5)
.Set(DomainElement.Of(2, 2), 0.7)
.Set(DomainElement.Of(3, 3), 1)
.Set(DomainElement.Of(3, 4), 0.4);
IFuzzySet r1r2 = Relations.CompositionOfBinaryRelations(r1, r2) !;
foreach (var element in r1r2.GetDomain())
{
Console.WriteLine($"mu({element}) = {r1r2.GetValueAt(element)}");
}
Console.WriteLine("---------------------------------------");
Console.WriteLine();
}
private static void Main(string[] args)
{
SimpleDomain sd = new SimpleDomain(-4, 5);
PrintDomain(sd, "sd: ");
IDomain cd = IDomain.Combine(sd, sd);
PrintDomain(cd, "cd: ");
IDomain d = IDomain.IntRange(0, 11);
IFuzzySet set1 = new MutableFuzzySet(d).Set(DomainElement.Of(0), 1.0);
PrintFuzzySet(set1, "set1: ");
IDomain d2 = IDomain.IntRange(-5, 6);
IFuzzySet set2 = new CalculatedFuzzySet(d2,
StandardFuzzySets.LambdaFunction(d2.IndexOfElement(DomainElement.Of(-4)),
d2.IndexOfElement(DomainElement.Of(0)),
d2.IndexOfElement(DomainElement.Of(4))));
PrintFuzzySet(set2, "set2: ");
IDomain d7 = IDomain.IntRange(0, 11);
IFuzzySet set3 = new MutableFuzzySet(d7).Set(DomainElement.Of(0), 1.0)
.Set(DomainElement.Of(1), 0.8)
.Set(DomainElement.Of(2), 0.6)
.Set(DomainElement.Of(3), 0.4)
.Set(DomainElement.Of(4), 0.2);
PrintFuzzySet(set3, "set3: ");
IFuzzySet notSet3 = Operations.UnaryOperation(set3, Operations.ZadehNot());
PrintFuzzySet(notSet3, "notSet3: ");
IFuzzySet union = Operations.BinaryOperation(set3, notSet3, Operations.ZadehOr());
PrintFuzzySet(union, "Set3 U notSet3: ");
IFuzzySet hinters = Operations.BinaryOperation(set3, notSet3, Operations.HamacherTNorm(1.0));
PrintFuzzySet(hinters, "Set3 Intersection with notSet3 using parameterised Hamacher T norm with parameter 1.0: ");
}
private static void PrintExample1()
{
Console.WriteLine("EXAMPLE 1");
SimpleDomain d1 = new SimpleDomain(0, 5);
PrintDomain(d1, "sd: ");
SimpleDomain d2 = new SimpleDomain(0, 3);
PrintDomain(d2, "sd: ");
IDomain d3 = IDomain.Combine(d1, d2);
PrintDomain(d3, "cd: ");
Console.WriteLine($"({d3.ElementForIndex(0)})");
Console.WriteLine($"({d3.ElementForIndex(5)})");
Console.WriteLine($"({d3.ElementForIndex(13)})");
Console.WriteLine(d3.IndexOfElement(DomainElement.Of(4, 1)));
Console.WriteLine("---------------------------------------");
Console.WriteLine();
}
private static void PrintExample6()
{
Console.WriteLine("EXAMPLE 6");
IDomain uFinal = IDomain.IntRange(1, 5); // {1,2,3,4}
IFuzzySet r = new MutableFuzzySet(IDomain.Combine(uFinal, uFinal))
.Set(DomainElement.Of(1, 1), 1)
.Set(DomainElement.Of(2, 2), 1)
.Set(DomainElement.Of(3, 3), 1)
.Set(DomainElement.Of(4, 4), 1)
.Set(DomainElement.Of(1, 2), 0.3)
.Set(DomainElement.Of(2, 1), 0.3)
.Set(DomainElement.Of(2, 3), 0.5)
.Set(DomainElement.Of(3, 2), 0.5)
.Set(DomainElement.Of(3, 4), 0.2)
.Set(DomainElement.Of(4, 3), 0.2);
IFuzzySet r2 = r;
Console.WriteLine($"Pocetna relacija je neizrazita relacija ekvivalencija? {Relations.IsFuzzyEquivalence(r2)}");
Console.WriteLine();
for (var i = 0; i < 3; i++)
{
r2 = Relations.CompositionOfBinaryRelations(r2, r) !;
Console.WriteLine($"Broj odradenih kompozicija je: {i + 1}. Relacija je: ");
foreach (var element in r2.GetDomain())
{
Console.WriteLine($"mu({element}) = {r2.GetValueAt(element)}");
}
Console.WriteLine($"Ova relacija je neizrazita relacija ekvivalencije? {Relations.IsFuzzyEquivalence(r2)}");
Console.WriteLine();
}
Console.WriteLine("---------------------------------------");
Console.WriteLine();
}
private static void PrintExample4()
{
Console.WriteLine("EXAMPLE 4");
IDomain u = IDomain.IntRange(1, 6); // {1,2,3,4,5}
IDomain u2 = IDomain.Combine(u, u);
IFuzzySet r1 = new MutableFuzzySet(u2)
.Set(DomainElement.Of(1, 1), 1)
.Set(DomainElement.Of(2, 2), 1)
.Set(DomainElement.Of(3, 3), 1)
.Set(DomainElement.Of(4, 4), 1)
.Set(DomainElement.Of(5, 5), 1)
.Set(DomainElement.Of(3, 1), 0.5)
.Set(DomainElement.Of(1, 3), 0.5);
IFuzzySet r2 = new MutableFuzzySet(u2)
.Set(DomainElement.Of(1, 1), 1)
.Set(DomainElement.Of(2, 2), 1)
.Set(DomainElement.Of(3, 3), 1)
.Set(DomainElement.Of(4, 4), 1)
.Set(DomainElement.Of(5, 5), 1)
.Set(DomainElement.Of(3, 1), 0.5)
.Set(DomainElement.Of(1, 3), 0.1);
IFuzzySet r3 = new MutableFuzzySet(u2)
.Set(DomainElement.Of(1, 1), 1)
.Set(DomainElement.Of(2, 2), 1)
.Set(DomainElement.Of(3, 3), 0.3)
.Set(DomainElement.Of(4, 4), 1)
.Set(DomainElement.Of(5, 5), 1)
.Set(DomainElement.Of(1, 2), 0.6)
.Set(DomainElement.Of(2, 1), 0.6)
.Set(DomainElement.Of(2, 3), 0.7)
.Set(DomainElement.Of(3, 2), 0.7)
.Set(DomainElement.Of(3, 1), 0.5)
.Set(DomainElement.Of(1, 3), 0.5);
IFuzzySet r4 = new MutableFuzzySet(u2)
.Set(DomainElement.Of(1, 1), 1)
.Set(DomainElement.Of(2, 2), 1)
.Set(DomainElement.Of(3, 3), 1)
.Set(DomainElement.Of(4, 4), 1)
.Set(DomainElement.Of(5, 5), 1)
.Set(DomainElement.Of(1, 2), 0.4)
.Set(DomainElement.Of(2, 1), 0.4)
.Set(DomainElement.Of(2, 3), 0.5)
.Set(DomainElement.Of(3, 2), 0.5)
.Set(DomainElement.Of(1, 3), 0.4)
.Set(DomainElement.Of(3, 1), 0.4);
var test1 = Relations.IsUTimesURelation(r1);
Console.WriteLine($"r1 je definiran nad UxU? {test1}");
var test2 = Relations.IsSymmetric(r1);
Console.WriteLine($"r1 je simetrična? {test2}");
var test3 = Relations.IsSymmetric(r2);
Console.WriteLine($"r2 je simetrična? {test3}");
var test4 = Relations.IsReflexive(r1);
Console.WriteLine($"r1 je refleksivna? {test4}");
var test5 = Relations.IsReflexive(r3);
Console.WriteLine($"r3 je refleksivna? {test5}");
var test6 = Relations.IsMaxMinTransitive(r3);
Console.WriteLine($"r3 je max-min tranzitivna? {test6}");
var test7 = Relations.IsMaxMinTransitive(r4);
Console.WriteLine($"r4 je max-min tranzitivna? {test7}");
Console.WriteLine("---------------------------------------");
Console.WriteLine();
}
