Operators Class Reference

Operators and connective functions. More...

#include <Operators.h>

Static Public Member Functions
static RCPtr< ComposedFS >	max (const RCPtr< FuzzySet > &f1, const RCPtr< FuzzySet > &f2)
	Connects two fuzzy sets via the maximum function and returns the resulting fuzzy set.
static RCPtr< FuzzySet >	min (const RCPtr< FuzzySet > &f1, const RCPtr< FuzzySet > &f2)
	Connects two fuzzy sets via the minimum function and returns the resulting fuzzy set.
static RCPtr< ComposedNDimFS >	supMinComp (const std::vector< double > &input, Implication *imp)
	Sup-min composition of an implication and a vector of singeltons.
static double	minimum (double a, double b)
	The minimum function.
static double	maximum (double a, double b)
	The maximum function.
static double	prod (double a, double b)
	The PROD function.
static double	probor (double a, double b)
	The PROBOR function.

Detailed Description

Operators and connective functions.

This class implements operators needed to do some calculations on fuzzy sets and the connective functions MINIMUM, MAXIMUM, PROD and PRODOR.

Definition at line 30 of file Operators.h.

Member Function Documentation

RCPtr< ComposedFS > Operators::max	(	const RCPtr< FuzzySet > &	f1,
		const RCPtr< FuzzySet > &	f2
	)			`[static]`

Connects two fuzzy sets via the maximum function and returns the resulting fuzzy set.

Parameters:

	f1	the first fuzzy set
	f2	the second fuzzy set

Returns:: the resulting composed fuzzy set

Definition at line 14 of file Operators.cpp.

References ComposedFS::MAX.

static double Operators::maximum	(	double	a,
		double	b
	)			`[inline, static]`

The maximum function.

Parameters:

	a	first input value
	b	second input value retrun the maximum of a and b

Definition at line 99 of file Operators.h.

Referenced by Rule::setConnective().

RCPtr< FuzzySet > Operators::min	(	const RCPtr< FuzzySet > &	f1,
		const RCPtr< FuzzySet > &	f2
	)			`[static]`

Connects two fuzzy sets via the minimum function and returns the resulting fuzzy set.

Parameters:

	f1	the first fuzzy set
	f2	the second fuzzy set

Returns:: the resulting composed fuzzy set

Definition at line 35 of file Operators.cpp.

References ComposedFS::MIN.

static double Operators::minimum	(	double	a,
		double	b
	)			`[inline, static]`

The minimum function.

Parameters:

	a	first input value
	b	second input value retrun the minimum of a and b

Definition at line 88 of file Operators.h.

Referenced by Rule::setConnective().

static double Operators::probor	(	double	a,
		double	b
	)			`[inline, static]`

The PROBOR function.

Parameters:

	a	first input value
	b	second input value retrun PROBOR(a,b)= a+b-a*b

Definition at line 122 of file Operators.h.

Referenced by Rule::setConnective().

static double Operators::prod	(	double	a,
		double	b
	)			`[inline, static]`

The PROD function.

Parameters:

	a	first input value
	b	second input value retrun the product of a and b (a*b)

Definition at line 110 of file Operators.h.

Referenced by Rule::setConnective().

RCPtr< ComposedNDimFS > Operators::supMinComp	(	const std::vector< double > &	input,
		Implication *	imp
	)			`[static]`

Sup-min composition of an implication and a vector of singeltons.

$\mu(y) = \sup_{x} min(\mu_1(x), \mu_2(x,y))$

where $\mu_2(x,y)$ is the implication function and $\mu_1(x)$ is the current input, in our case a vector of singletons, which simplifies this to

$\mu(y) =\mu_2(singeltonInput, y)$

Parameters:

	input	the input vector (vector of singeltons)
	imp	the implication

Returns:: the resulting composed n-dimensional fuzzy set

Definition at line 55 of file Operators.cpp.

References FuzzyRelation::Y.

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

Operators Class Reference

Static Public Member Functions

Detailed Description

Member Function Documentation