// Testing basic funcionality of linguistic variables
private void runLingVarTestButton_Click(object sender, EventArgs e)
{
ClearDataSeries( );
// create a linguistic variable to represent temperature
LinguisticVariable lvTemperature = new LinguisticVariable("Temperature", 0, 80);
// create the linguistic labels (fuzzy sets) that compose the temperature
TrapezoidalFunction function1 = new TrapezoidalFunction(10, 15, TrapezoidalFunction.EdgeType.Right);
FuzzySet fsCold = new FuzzySet("Cold", function1);
TrapezoidalFunction function2 = new TrapezoidalFunction(10, 15, 20, 25);
FuzzySet fsCool = new FuzzySet("Cool", function2);
TrapezoidalFunction function3 = new TrapezoidalFunction(20, 25, 30, 35);
FuzzySet fsWarm = new FuzzySet("Warm", function3);
TrapezoidalFunction function4 = new TrapezoidalFunction(30, 35, TrapezoidalFunction.EdgeType.Left);
FuzzySet fsHot = new FuzzySet("Hot", function4);
// adding labels to the variable
lvTemperature.AddLabel(fsCold);
lvTemperature.AddLabel(fsCool);
lvTemperature.AddLabel(fsWarm);
lvTemperature.AddLabel(fsHot);
// get membership of some points to the cool fuzzy set
double[][,] chartValues = new double[4][, ];
for (int i = 0; i < 4; i++)
{
chartValues[i] = new double[160, 2];
}
// showing the shape of the linguistic variable - the shape of its labels memberships from start to end
int j = 0;
for (float x = 0; x < 80; x += 0.5f, j++)
{
double y1 = lvTemperature.GetLabelMembership("Cold", x);
double y2 = lvTemperature.GetLabelMembership("Cool", x);
double y3 = lvTemperature.GetLabelMembership("Warm", x);
double y4 = lvTemperature.GetLabelMembership("Hot", x);
chartValues[0][j, 0] = x;
chartValues[0][j, 1] = y1;
chartValues[1][j, 0] = x;
chartValues[1][j, 1] = y2;
chartValues[2][j, 0] = x;
chartValues[2][j, 1] = y3;
chartValues[3][j, 0] = x;
chartValues[3][j, 1] = y4;
}
// plot membership to a chart
chart.UpdateDataSeries("COLD", chartValues[0]);
chart.UpdateDataSeries("COOL", chartValues[1]);
chart.UpdateDataSeries("WARM", chartValues[2]);
chart.UpdateDataSeries("HOT", chartValues[3]);
}
public void DrawChartAndSelectSection()
{
if (Type == VariableType.Input)
{
ClearChart();
float delta = (_range.Max - _range.Min) / _sampling;
foreach (var label in _sets)
{
for (float x = _range.Min; x <= _range.Max; x += delta)
{
_chart.Series.Where(xx => xx.Name == label.Name).FirstOrDefault().Points.AddXY(x, _fVariable.GetLabelMembership(label.Name, x));
}
}
_chartLine.X = (double)ResultValue;
_chart.Update();
}
}
private void Form1_Load(object sender, EventArgs e)
{
/*
* LinguisticVariable lvTemperature = new LinguisticVariable("Temperature", 0, 80);
*
* TrapezoidalFunction function1 = new TrapezoidalFunction(10, 15, TrapezoidalFunction.EdgeType.Right);
* FuzzySet fsCold = new FuzzySet("Cold", function1);
* TrapezoidalFunction function2 = new TrapezoidalFunction(10, 15, 20, 25);
* FuzzySet fsCool = new FuzzySet("Cool", function2);
* TrapezoidalFunction function3 = new TrapezoidalFunction(20, 25, 30, 35);
* FuzzySet fsWarm = new FuzzySet("Warm", function3);
* TrapezoidalFunction function4 = new TrapezoidalFunction(30, 35, TrapezoidalFunction.EdgeType.Left);
* FuzzySet fsHot = new FuzzySet("Hot", function4);
*
* lvTemperature.AddLabel(fsCold);
* lvTemperature.AddLabel(fsCool);
* lvTemperature.AddLabel(fsWarm);
* lvTemperature.AddLabel(fsHot);
*
* textBox1.Text += "Cold; Cool; Warm; Hot" + Environment.NewLine;
* for (float x = 0; x < 80; x += 0.2f)
* {
* float y1 = lvTemperature.GetLabelMembership("Cold", x);
* float y2 = lvTemperature.GetLabelMembership("Cool", x);
* float y3 = lvTemperature.GetLabelMembership("Warm", x);
* float y4 = lvTemperature.GetLabelMembership("Hot", x);
*
* textBox1.Text += y1.ToString() + " " + y2.ToString() + " " + y3.ToString() + " " + y4.ToString() + Environment.NewLine;
* }
*/
/*
* FuzzySet fsNear = new FuzzySet("Near", new TrapezoidalFunction(15, 50, TrapezoidalFunction.EdgeType.Right));
* FuzzySet fsMedium = new FuzzySet("Medium", new TrapezoidalFunction(15, 50, 60, 100));
* FuzzySet fsFar = new FuzzySet("Far", new TrapezoidalFunction(60, 100, TrapezoidalFunction.EdgeType.Left));
*
* LinguisticVariable lvFront = new LinguisticVariable("FrontalDistance", 0, 120);
* lvFront.AddLabel(fsNear);
* lvFront.AddLabel(fsMedium);
* lvFront.AddLabel(fsFar);
*
* FuzzySet fsZero = new FuzzySet("Zero", new TrapezoidalFunction(-10, 5, 5, 10));
* FuzzySet fsLP = new FuzzySet("LittlePositive", new TrapezoidalFunction(5, 10, 20, 25));
* FuzzySet fsP = new FuzzySet("Positive", new TrapezoidalFunction(20, 25, 35, 40));
* FuzzySet fsVP = new FuzzySet("VeryPositive", new TrapezoidalFunction(35, 40, TrapezoidalFunction.EdgeType.Left));
*
* LinguisticVariable lvAngle = new LinguisticVariable("Angle", -10, 50);
* lvAngle.AddLabel(fsZero);
* lvAngle.AddLabel(fsLP);
* lvAngle.AddLabel(fsP);
* lvAngle.AddLabel(fsVP);
*
* Database fuzzyDB = new Database();
* fuzzyDB.AddVariable(lvFront);
* fuzzyDB.AddVariable(lvAngle);
*
* InferenceSystem IS = new InferenceSystem(fuzzyDB, new CentroidDefuzzifier(1000));
*
* IS.NewRule("Rule 1", "IF FrontalDistance IS Far THEN Angle IS Zero");
* IS.NewRule("Rule 2", "IF FrontalDistance IS Near THEN Angle IS Positive");
*
* IS.SetInput("FrontalDistance", 20);
* float a = IS.Evaluate("Angle"); // -> 29.999
*
* try
* {
* FuzzyOutput fuzzyOutput = IS.ExecuteInference("Angle"); // -> 0.87 Positive
*
* foreach (FuzzyOutput.OutputConstraint oc in fuzzyOutput.OutputList)
* {
* Console.WriteLine(oc.Label + " - " + oc.FiringStrength.ToString());
* }
* }
* catch (Exception)
* {
* }*/
FuzzySet fsxM2 = new FuzzySet("xM2", new TrapezoidalFunction(-150, -80, TrapezoidalFunction.EdgeType.Right));
FuzzySet fsxM1 = new FuzzySet("xM1", new TrapezoidalFunction(-90f, -65f, 0f));
FuzzySet fsxS = new FuzzySet("xS", new TrapezoidalFunction(-30f, 0, 30f));
FuzzySet fsxD1 = new FuzzySet("xD1", new TrapezoidalFunction(0f, 65f, 90f));
FuzzySet fsxD2 = new FuzzySet("xD2", new TrapezoidalFunction(80, 150, TrapezoidalFunction.EdgeType.Left));
LinguisticVariable lvX = new LinguisticVariable("XDist", -150, 150);
lvX.AddLabel(fsxM2);
lvX.AddLabel(fsxM1);
lvX.AddLabel(fsxS);
lvX.AddLabel(fsxD1);
lvX.AddLabel(fsxD2);
FuzzySet fsfM3 = new FuzzySet("fM3", new TrapezoidalFunction(-190, -140, -90));
FuzzySet fsfM2 = new FuzzySet("fM2", new TrapezoidalFunction(-140f, -90f, -45f));
FuzzySet fsfM1 = new FuzzySet("fM1", new TrapezoidalFunction(-90f, -45f, 0f));
FuzzySet fsfS = new FuzzySet("fS", new TrapezoidalFunction(-30f, 0, 30f));
FuzzySet fsfD1 = new FuzzySet("fD1", new TrapezoidalFunction(0f, 45f, 90f));
FuzzySet fsfD2 = new FuzzySet("fD2", new TrapezoidalFunction(45f, 90f, 140f));
FuzzySet fsfD3 = new FuzzySet("fD3", new TrapezoidalFunction(90, 140, 190));
LinguisticVariable lvF = new LinguisticVariable("FAngle", -190, 190);
lvF.AddLabel(fsfM3);
lvF.AddLabel(fsfM2);
lvF.AddLabel(fsfM1);
lvF.AddLabel(fsfS);
lvF.AddLabel(fsfD1);
lvF.AddLabel(fsfD2);
lvF.AddLabel(fsfD3);
FuzzySet fsaM3 = new FuzzySet("aM3", new TrapezoidalFunction(-45, -30, TrapezoidalFunction.EdgeType.Right));
FuzzySet fsaM2 = new FuzzySet("aM2", new TrapezoidalFunction(-45f, -30f, -5f));
FuzzySet fsaM1 = new FuzzySet("aM1", new TrapezoidalFunction(-30f, -17f, -5f));
FuzzySet fsaS = new FuzzySet("aS", new TrapezoidalFunction(-5f, 0, 5f));
FuzzySet fsaD1 = new FuzzySet("aD1", new TrapezoidalFunction(5f, 17f, 30f));
FuzzySet fsaD2 = new FuzzySet("aD2", new TrapezoidalFunction(5f, 30f, 45f));
FuzzySet fsaD3 = new FuzzySet("aD3", new TrapezoidalFunction(30, 45, TrapezoidalFunction.EdgeType.Left));
LinguisticVariable lvA = new LinguisticVariable("OutAngle", -45, 45);
lvA.AddLabel(fsaM3);
lvA.AddLabel(fsaM2);
lvA.AddLabel(fsaM1);
lvA.AddLabel(fsaS);
lvA.AddLabel(fsaD1);
lvA.AddLabel(fsaD2);
lvA.AddLabel(fsaD3);
Database fuzzyDB = new Database();
fuzzyDB.AddVariable(lvX);
fuzzyDB.AddVariable(lvF);
fuzzyDB.AddVariable(lvA);
/*
* float x = -100, F = 180, A = 45;
* float Px = 0, Pf = 0, Pa = 0;
* int Nx = -1, Nf = -1, Na = -1;
*
* float _t = lvX.GetLabelMembership("xM2", x);
* if (_t > Px)
* {
* Px = _t;
* Nx = 0;
* }
*
* _t = lvX.GetLabelMembership("xM1", x);
* if (_t > Px)
* {
* Px = _t;
* Nx = 1;
* }
*
* _t = lvX.GetLabelMembership("xS", x);
* if (_t > Px)
* {
* Px = _t;
* Nx = 2;
* }
*
* _t = lvX.GetLabelMembership("xD1", x);
* if (_t > Px)
* {
* Px = _t;
* Nx = 3;
* }
*
* _t = lvX.GetLabelMembership("xD2", x);
* if (_t > Px)
* {
* Px = _t;
* Nx = 4;
* }*/
InferenceSystem IS = new InferenceSystem(fuzzyDB, new CentroidDefuzzifier(1000));
IS.NewRule("Rule 1", "IF XDist IS xM2 AND FAngle IS fD3 THEN OutAngle IS aD3");
//Rule r = IS.GetRule("Rule 1");
//Clause cl = r.Output;
IS.SetInput("XDist", -100);
IS.SetInput("FAngle", 180);
float fu = lvX.GetLabelMembership("xM2", -100); // 0.29
float fuu = lvF.GetLabelMembership("fD3", 180); // 0.2
float a = IS.Evaluate("OutAngle"); // -> 38.2
try
{
FuzzyOutput fuzzyOutput = IS.ExecuteInference("OutAngle"); // -> 0.2 ad3
foreach (FuzzyOutput.OutputConstraint oc in fuzzyOutput.OutputList)
{
Console.WriteLine(oc.Label + " - " + oc.FiringStrength.ToString());
}
}
catch (Exception)
{
}
}
private void _getMemberships(float probability, out float y1, out float yX, out float y2)
{
y1 = _lvlProbabilidad.GetLabelMembership("UNO", probability);
yX = _lvlProbabilidad.GetLabelMembership("EQUIS", probability);
y2 = _lvlProbabilidad.GetLabelMembership("DOS", probability);
}
static void Main(string[] args)
{
LinguisticVariable luminosidade = new LinguisticVariable("luminosidade", 0, 14);
TrapezoidalFunction tf_escura = new TrapezoidalFunction(1, 5, TrapezoidalFunction.EdgeType.Right);
FuzzySet escura = new FuzzySet("escura", tf_escura);
TrapezoidalFunction tf_pouca = new TrapezoidalFunction(1, 5, 6, 8);
FuzzySet pouca = new FuzzySet("pouca", tf_pouca);
TrapezoidalFunction tf_media = new TrapezoidalFunction(6, 8, 10, 11);
FuzzySet media = new FuzzySet("media", tf_media);
TrapezoidalFunction tf_extrema = new TrapezoidalFunction(9, 12, TrapezoidalFunction.EdgeType.Left);
FuzzySet extrema = new FuzzySet("extrema", tf_extrema);
luminosidade.AddLabel(escura);
luminosidade.AddLabel(pouca);
luminosidade.AddLabel(media);
luminosidade.AddLabel(extrema);
LinguisticVariable profundidade = new LinguisticVariable("profundidade", (float)0, (float)1.4);
TrapezoidalFunction tf_rasa = new TrapezoidalFunction((float)0.1, (float)0.3, TrapezoidalFunction.EdgeType.Right);
FuzzySet rasa = new FuzzySet("rasa", tf_rasa);
TrapezoidalFunction tf_medprof = new TrapezoidalFunction((float)0.1, (float)0.3, (float)0.6, (float)1);
FuzzySet mediaprof = new FuzzySet("media", tf_medprof);
TrapezoidalFunction tf_profundo = new TrapezoidalFunction((float)0.6, (float)1, (float)1.2);
FuzzySet profundo = new FuzzySet("profundo", tf_profundo);
TrapezoidalFunction tf_muitoprof = new TrapezoidalFunction((float)1, (float)1.2, TrapezoidalFunction.EdgeType.Left);
FuzzySet muitoprof = new FuzzySet("muito profundo", tf_muitoprof);
profundidade.AddLabel(rasa);
profundidade.AddLabel(mediaprof);
profundidade.AddLabel(profundo);
profundidade.AddLabel(muitoprof);
float x = 0;
float y = 0;
float profmedia_result = 0;
float luminopouca_result = 0;
float profrasa_result = 0;
float luminoextrema_result = 0;
float profmuito_result = 0;
float luminomed_result = 0;
float luminoesc_result = 0;
Console.WriteLine("Qual a luminosidade?");
string n1 = Console.ReadLine();
x = (float)Convert.ToDouble(n1);
Console.WriteLine("Qual a profundidade?");
string n2 = Console.ReadLine();
y = (float)Convert.ToDouble(n2);
profmedia_result = profundidade.GetLabelMembership("media", y);
luminopouca_result = luminosidade.GetLabelMembership("pouca", x);
profrasa_result = profundidade.GetLabelMembership("rasa", y);
luminoextrema_result = luminosidade.GetLabelMembership("extrema", x);
profmuito_result = profundidade.GetLabelMembership("muito profundo", y);
luminomed_result = luminosidade.GetLabelMembership("media", x);
luminoesc_result = luminosidade.GetLabelMembership("escura", x);
Console.WriteLine("Profundidade média e luminosidade pouca = " + Math.Min(profmedia_result, luminopouca_result));
Console.WriteLine("Profundidade rasa ou Luminosidade extrema =" + Math.Max(profrasa_result, luminoextrema_result));
Console.WriteLine("Profundidade muito profundo ou profundidade média e luminosidade escura = " + Math.Min(Math.Max(profmuito_result, profmedia_result), luminoesc_result));
Console.WriteLine("Luminosidade extrema e luminosidade média = " + Math.Min(luminoextrema_result, luminomed_result));
Console.ReadKey();
}