BellLT Class Reference
LinguisticTerm with a bell-shaped (Gaussian) membership function. More...
#include <BellLT.h>
Public Member Functions | |
| BellLT (const std::string name, const RCPtr< LinguisticVariable > &parent, double sigma, double offset, double scale=1) | |
| Constructor. | |
| double | defuzzify (double errRel=ERR_RELATIVE, int recursionMax=RECURSION_MAX) const |
| Defuzzifies the set by returning the Bell's offset if the support is not bounded by the associated linguistic variable, and by dertermination of the center of gravity otherwise. | |
| double | getMin () const |
| Returns the lower boundary of the support. | |
| double | getMax () const |
| Returns the upper boundary of the support. | |
Detailed Description
LinguisticTerm with a bell-shaped (Gaussian) membership function.This class implements a LinguisticTerm with membership function:
![\[ \mu(x) = \frac{1}{\sigma \sqrt{2\pi}} e^{-\frac{(x-offset)^2}{2\sigma^2}} \]](form_0.png)
Definition at line 35 of file BellLT.h.
Constructor & Destructor Documentation
| BellLT::BellLT | ( | const std::string | name, | |
| const RCPtr< LinguisticVariable > & | parent, | |||
| double | sigma, | |||
| double | offset, | |||
| double | scale = 1 | |||
| ) |
Constructor.
- Parameters:
-
name the name parent the associated linguistic variable sigma controlls the width of the Gaussian offset position of the center of the peak scale scales the whole function
Definition at line 13 of file BellLT.cpp.
Member Function Documentation
| double BellLT::defuzzify | ( | double | errRel = ERR_RELATIVE, |
|
| int | recursionMax = RECURSION_MAX | |||
| ) | const |
Defuzzifies the set by returning the Bell's offset if the support is not bounded by the associated linguistic variable, and by dertermination of the center of gravity otherwise.
- Parameters:
-
errRel relative approximation error that is tollerated during numerical integration recursionMax max. depth of recursion during numerical integration (i.e. max. 
steps)
Reimplemented from LinguisticTerm.
Definition at line 20 of file BellLT.cpp.
References FuzzySet::defuzzify(), BellFS::defuzzify(), BellFS::getMax(), and BellFS::getMin().
| double BellLT::getMax | ( | ) | const [inline, virtual] |
Returns the upper boundary of the support.
- Returns:
- the max. value for which the FuzzySet is nonzero (or exceeds a given threshold)
Reimplemented from BellFS.
Definition at line 81 of file BellLT.h.
References BellFS::getMax().
| double BellLT::getMin | ( | ) | const [inline, virtual] |
Returns the lower boundary of the support.
- Returns:
- the min. value for which the FuzzySet is nonzero (or exceeds a given threshold)
Reimplemented from BellFS.
Definition at line 71 of file BellLT.h.
References BellFS::getMin().
The documentation for this class was generated from the following files: