MQL5 ReferenceStandard LibraryMathematicsFuzzy LogicMembership functionsCDifferencTwoSigmoidalMembershipFunction

CDifferencTwoSigmoidalMembershipFunction

Class for implementing the membership function in the form of a difference between two sigmoid functions with the A1, A2, C1 and C2 parameters.

Description

The function is based on a sigmoid curve. It allows creating membership functions with the values equal to 1 beginning with an argument value. Such functions are suitable if you need to set such linguistic terms as "short" or "long".

fuzzy_diffsigmoidal_function

A sample code for plotting a chart is displayed below.

Declaration

class CDifferencTwoSigmoidalMembershipFuncion : public IMembershipFunction

Title

#include <Math\Fuzzy\membershipfunction.mqh>

Inheritance hierarchy

CObject

IMembershipFunction

CDifferencTwoSigmoidalMembershipFunction

Class methods

Class method	Description
A1	Gets and sets the first membership function slope ratio.
A2	Gets and sets the second membership function slope ratio.
C1	Gets and sets the first membership function inflection coordinate parameter.
C2	Gets and sets the second membership function inflection coordinate parameter.
GetValue	Calculates the value of the membership function by a specified argument.

Methods inherited from class CObject

Prev, Prev, Next, Next, Save, Load, Type, Compare

Example

//+------------------------------------------------------------------+
//|                      DifferencTwoSigmoidalMembershipFunction.mq5 |
//|                        Copyright 2016, MetaQuotes Software Corp. |
//|                                             https://www.mql5.com |
//+------------------------------------------------------------------+
#include <Math\Fuzzy\membershipfunction.mqh>
#include <Graphics\Graphic.mqh>
//--- Create membership functions
CDifferencTwoSigmoidalMembershipFunction func1(5,1,8,7);
CDifferencTwoSigmoidalMembershipFunction func2(5,4,5,7);
CDifferencTwoSigmoidalMembershipFunction func3(5,6,2,7);
//--- Create wrappers for membership functions
double DifferencTwoSigmoidalMembershipFunction1(double x) { return(func1.GetValue(x)); }
double DifferencTwoSigmoidalMembershipFunction2(double x) { return(func2.GetValue(x)); }
double DifferencTwoSigmoidalMembershipFunction3(double x) { return(func3.GetValue(x)); }
//+------------------------------------------------------------------+
//| Script program start function                                    |
//+------------------------------------------------------------------+
void OnStart()
  {
//--- create graphic
   CGraphic graphic;
   if(!graphic.Create(0,"DifferencTwoSigmoidalMembershipFunction",0,30,30,780,380))
     {
      graphic.Attach(0,"DifferencTwoSigmoidalMembershipFunction");
     }
   graphic.HistoryNameWidth(70);
   graphic.BackgroundMain("DifferencTwoSigmoidalMembershipFunction");
   graphic.BackgroundMainSize(16);
//--- create curve
   graphic.CurveAdd(DifferencTwoSigmoidalMembershipFunction1,0.0,10.0,0.1,CURVE_LINES,"[5, 1, 8, 7]");
   graphic.CurveAdd(DifferencTwoSigmoidalMembershipFunction2,0.0,10.0,0.1,CURVE_LINES,"[5, 4, 5, 7]");
   graphic.CurveAdd(DifferencTwoSigmoidalMembershipFunction3,0.0,10.0,0.1,CURVE_LINES,"[5, 6, 2, 7]");
//--- sets the X-axis properties
   graphic.XAxis().AutoScale(false);
   graphic.XAxis().Min(0.0);
   graphic.XAxis().Max(10.0);
   graphic.XAxis().DefaultStep(1.0);
//--- sets the Y-axis properties
   graphic.YAxis().AutoScale(false);
   graphic.YAxis().Min(0.0);
   graphic.YAxis().Max(1.1);
   graphic.YAxis().DefaultStep(0.2);
//--- plot
   graphic.CurvePlotAll();
   graphic.Update();
  }

GetValue