CNormalMembershipFunction

Class for implementing a symmetrical Gaussian membership function with the B and Sigma parameters.

Description

The symmetrical Gaussian membership function is formed using Gaussian distribution. The function is smooth and takes non-zero values along the entire definition area.

fuzzy_norm_function

A sample code for plotting a chart is displayed below.

Declaration

class CNormalMembershipFuncion : public IMembershipFunction

Title

#include <Math\Fuzzy\membershipfunction.mqh>

Inheritance hierarchy

CObject

IMembershipFunction

CNormalMembershipFunction

Class methods

Class method	Description
B	Gets and sets the membership function center.
Sigma	Gets and sets the parameter of the membership function curvature.
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

//+------------------------------------------------------------------+
//|                                     NormalMembershipFunction.mq5 |
//|                         Copyright 2000-2024, MetaQuotes Ltd. |
//|                                             https://www.mql5.com |
//+------------------------------------------------------------------+
#include <Math\Fuzzy\membershipfunction.mqh>
#include <Graphics\Graphic.mqh>
//--- Create membership functions
CNormalMembershipFunction func1(5,0.5);
CNormalMembershipFunction func2(5,1);
CNormalMembershipFunction func3(5,3);
//--- Create wrappers for membership functions
double NormalMembershipFunction1(double x) { return(func1.GetValue(x)); }
double NormalMembershipFunction2(double x) { return(func2.GetValue(x)); }
double NormalMembershipFunction3(double x) { return(func3.GetValue(x)); }
//+------------------------------------------------------------------+
//| Script program start function                                    |
//+------------------------------------------------------------------+
void OnStart()
  {
//--- create graphic
   CGraphic graphic;
   if(!graphic.Create(0,"NormalMembershipFunction",0,30,30,780,380))
     {
      graphic.Attach(0,"NormalMembershipFunction");
     }
   graphic.HistoryNameWidth(70);
   graphic.BackgroundMain("NormalMembershipFunction");
   graphic.BackgroundMainSize(16);
//--- create curve
   graphic.CurveAdd(NormalMembershipFunction1,0.0,10.0,0.1,CURVE_LINES,"[5, 0.0]");
   graphic.CurveAdd(NormalMembershipFunction2,0.0,10.0,0.1,CURVE_LINES,"[5, 1]");
   graphic.CurveAdd(NormalMembershipFunction3,0.0,10.0,0.1,CURVE_LINES,"[5, 3]");
//--- 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();
  }

Last updated on 2026-07-24