fl::PiShape Class Reference

The PiShape class is an extended Term that represents the Pi-shaped curve membership function. More...

#include <PiShape.h>

Inheritance diagram for fl::PiShape:

Collaboration diagram for fl::PiShape:

Public Member Functions
	PiShape (const std::string &name="", scalar bottomLeft=fl::nan, scalar topLeft=fl::nan, scalar topRight=fl::nan, scalar bottomRight=fl::nan, scalar height=1.0)
virtual	~PiShape () FL_IOVERRIDE
virtual std::string	className () const FL_IOVERRIDE
	Returns the name of the class of the term. More...
virtual std::string	parameters () const FL_IOVERRIDE
	Returns the parameters of the term. More...
virtual void	configure (const std::string &parameters) FL_IOVERRIDE
	Configures the term with the parameters. More...
virtual Complexity	complexity () const FL_IOVERRIDE
	Computes the estimated complexity of evaluating the membership function. More...
virtual scalar	membership (scalar x) const FL_IOVERRIDE
	Computes the membership function evaluated at \(x\). More...
virtual void	setBottomLeft (scalar bottomLeft)
	Sets the bottom-left value of the curve. More...
virtual scalar	getBottomLeft () const
	Gets the bottom-left value of the curve. More...
virtual void	setTopLeft (scalar topLeft)
	Sets the top-left value of the curve. More...
virtual scalar	getTopLeft () const
	Gets the top-left value of the curve. More...
virtual void	setTopRight (scalar topRight)
	Sets the top-right value of the curve. More...
virtual scalar	getTopRight () const
	Gets the top-right value of the curve. More...
virtual void	setBottomRight (scalar bottomRight)
	Sets the bottom-right value of the curve. More...
virtual scalar	getBottomRight () const
	Gets the bottom-right value of the curve. More...
virtual PiShape *	clone () const FL_IOVERRIDE
	Creates a clone of the term. More...
Public Member Functions inherited from fl::Term
	Term (const std::string &name="", scalar height=1.0)
virtual	~Term ()
virtual void	setName (const std::string &name)
	Sets the name of the term. More...
virtual std::string	getName () const
	Gets the name of the term. More...
virtual void	setHeight (scalar height)
	Sets the height of the term. More...
virtual scalar	getHeight () const
	Gets the height of the term. More...
virtual std::string	toString () const
	Returns the representation of the term in the FuzzyLite Language. More...
virtual void	updateReference (const Engine *engine)
	Updates the references (if any) to point to the current engine (useful when cloning engines or creating terms within Importer objects. More...

Static Public Member Functions
static Term *	constructor ()

Additional Inherited Members
Protected Attributes inherited from fl::Term
scalar	_height

Detailed Description

The PiShape class is an extended Term that represents the Pi-shaped curve membership function.

Author

Juan Rada-Vilela, Ph.D.

See also

Term

Variable

Since

4.0

Definition at line 35 of file PiShape.h.

Constructor & Destructor Documentation

PiShape()

fl::PiShape::PiShape ( const std::string &  name = "", scalar  bottomLeft = fl::nan, scalar  topLeft = fl::nan, scalar  topRight = fl::nan, scalar  bottomRight = fl::nan, scalar  height = 1.0  )

explicit

~PiShape()

virtual fl::PiShape::~PiShape ( )

virtual

Member Function Documentation

className()

virtual std::string fl::PiShape::className ( ) const

virtual

Returns the name of the class of the term.

Returns

the name of the class of the term

Implements fl::Term.

clone()

virtual PiShape* fl::PiShape::clone ( ) const

virtual

Creates a clone of the term.

Returns

a clone of the term

Implements fl::Term.

complexity()

virtual Complexity fl::PiShape::complexity ( ) const

virtual

Computes the estimated complexity of evaluating the membership function.

Returns

the estimated complexity of evaluating the membership function

Implements fl::Term.

configure()

virtual void fl::PiShape::configure ( const std::string &  parameters )

virtual

Configures the term with the parameters.

Parameters

parameters

as "bottomLeft topLeft topRight bottomRight [height]"

Implements fl::Term.

constructor()

static Term* fl::PiShape::constructor ( )

static

getBottomLeft()

virtual scalar fl::PiShape::getBottomLeft ( ) const

virtual

Gets the bottom-left value of the curve.

Returns

the bottom-left value of the curve

getBottomRight()

virtual scalar fl::PiShape::getBottomRight ( ) const

virtual

Gets the bottom-right value of the curve.

Returns

the bottom-right value of the curve

getTopLeft()

virtual scalar fl::PiShape::getTopLeft ( ) const

virtual

Gets the top-left value of the curve.

Returns

the top-left value of the curve

getTopRight()

virtual scalar fl::PiShape::getTopRight ( ) const

virtual

Gets the top-right value of the curve.

Returns

the top-right value of the curve

membership()

virtual scalar fl::PiShape::membership ( scalar  x ) const

virtual

Computes the membership function evaluated at \(x\).

Parameters

x

Returns

\(\begin{cases} 0h & \mbox{if $x \leq b_l$}\cr 2h \left((x - b_l) / (t_l-b_l)\right)^2 & \mbox{if $x \leq 0.5(a+b)$}\cr h (1 - 2 \left((x - t_l) / (t_l-b_l)\right)^2) & \mbox{if $ x < t_l$}\cr h & \mbox{if $x \leq t_r$}\cr h (1 - 2\left((x - t_r) / (b_r - t_r)\right)^2) & \mbox{if $x \leq 0.5(t_r + b_r)$}\cr 2h \left((x - b_r) / (b_r-t_r)\right)^2 & \mbox{if $x < b_r$} \cr 0h & \mbox{otherwise} \end{cases}\)

where \(h\) is the height of the Term, \(b_l\) is the bottom left of the PiShape, \(t_l\) is the top left of the PiShape, \(t_r\) is the top right of the PiShape \(b_r\) is the bottom right of the PiShape,

Implements fl::Term.

parameters()

virtual std::string fl::PiShape::parameters ( ) const

virtual

Returns the parameters of the term.

Returns

"bottomLeft topLeft topRight bottomRight [height]"

Implements fl::Term.

setBottomLeft()

virtual void fl::PiShape::setBottomLeft ( scalar  bottomLeft )

virtual

Sets the bottom-left value of the curve.

Parameters

bottomLeft

is the bottom-left value of the curve

setBottomRight()

virtual void fl::PiShape::setBottomRight ( scalar  bottomRight )

virtual

Sets the bottom-right value of the curve.

Parameters

bottomRight

is the bottom-right value of the curve

setTopLeft()

virtual void fl::PiShape::setTopLeft ( scalar  topLeft )

virtual

Sets the top-left value of the curve.

Parameters

topLeft

is the top-left value of the curve

setTopRight()

virtual void fl::PiShape::setTopRight ( scalar  topRight )

virtual

Sets the top-right value of the curve.

Parameters

topRight

is the top-right value of the curve

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The documentation for this class was generated from the following file:

• fuzzylite/fl/term/PiShape.h