FIS - Fuzzy Inference System

Fuzzy Inference System (FIS) Engine. More...

Classes
class	qlibs::fis::ioBase
class	qlibs::fis::input
	A FIS Input object. More...
class	qlibs::fis::output
	A FIS Output object. More...
class	qlibs::fis::core
class	qlibs::fis::mf
	A FIS Membership Function. More...
class	qlibs::fis::instance
	A FIS(Fuzzy Inference System) object. More...
class	qlibs::fis::system< fType, numberOfInputs, numberOfOutputs, numberOfInputSets, numberOfOutputSets, numberOfRules >
	A wrapper for the FIS object. More...

Macros
#define	FIS_RULES_BEGIN
	Start a Fuzzy rule set. The FIS_RULES_BEGIN statement is used to declare the starting point of a FIS rule set. It should be placed at the start of the rules enumeration. FIS_RULES_END declare the end of the FIS rule set.
#define	FIS_RULES_END
	Ends a Fuzzy rule set. The FIS_RULES_END statement is used to finalize the declaration of a FIS rule set. It should be placed at the end of the rules enumeration. FIS_RULES_BEGIN declare the start point of the FIS rule set.
#define	IF
	Rule statement to begin a rule sentence.
#define	AND
	Rule statement to represent the AND connector.
#define	OR
	Rule statement to represent the OR connector.
#define	THEN
	Rule statement to represent the implication.
#define	IS
	Rule statement to represent a premise.
#define	IS_NOT
	Rule statement to represent a negated premise.
#define	END
	Rule statement to end a rule sentence.

Typedefs
using	qlibs::fis::rules
	Type definition to instantiate a set of fuzzy rules.
using	qlibs::fis::tag
	Used to define an enum of fis tags.
using	qlibs::fis::deFuzzFunction
using	qlibs::fis::fuzzyOperator

Enumerations
enum	qlibs::fis::shapeMF {   qlibs::fis::custommf , qlibs::fis::trimf , qlibs::fis::trapmf , qlibs::fis::gbellmf ,   qlibs::fis::gaussmf , qlibs::fis::gauss2mf , qlibs::fis::sigmf , qlibs::fis::dsigmf ,   qlibs::fis::psigmf , qlibs::fis::pimf , qlibs::fis::smf , qlibs::fis::zmf ,   qlibs::fis::singletonmf , qlibs::fis::concavemf , qlibs::fis::spikemf , qlibs::fis::linsmf ,   qlibs::fis::linzmf , qlibs::fis::rectmf , qlibs::fis::cosmf , qlibs::fis::constantmf ,   qlibs::fis::linearmf , qlibs::fis::tlinsmf , qlibs::fis::tlinzmf , qlibs::fis::tconcavemf ,   qlibs::fis::tsigmf , qlibs::fis::tsmf , qlibs::fis::tzmf , qlibs::fis::trampmf }
	An enum with all the possible values to specify a membership function. More...
enum	qlibs::fis::deFuzzMethod {   qlibs::fis::centroid , qlibs::fis::bisector , qlibs::fis::mom , qlibs::fis::lom ,   qlibs::fis::som , qlibs::fis::wtaver , qlibs::fis::wtsum }
	An enum with all the possible de-Fuzzyfication methods. More...
enum	qlibs::fis::paramValue {   qlibs::fis::FIS_MIN , qlibs::fis::FIS_PROD , qlibs::fis::FIS_MAX , qlibs::fis::FIS_PROBOR ,   qlibs::fis::FIS_SUM }
	An enum with the supported parameter values. More...
enum	qlibs::fis::parameter {   qlibs::fis::FIS_Implication , qlibs::fis::FIS_Aggregation , qlibs::fis::FIS_AND , qlibs::fis::FIS_OR ,   qlibs::fis::FIS_EvalPoints }
	An enum with the allowed parameters that can be set on a FIS instance. More...
enum	qlibs::fis::type { qlibs::fis::Mamdani , qlibs::fis::Sugeno , qlibs::fis::Tsukamoto }
	An enum with the inference system types supported by qlibs::fis. More...

Detailed Description

Fuzzy Inference System (FIS) Engine.

For a brief description of this module, please read Fuzzy Inference System Engine

Macro Definition Documentation

AND

#define AND

Rule statement to represent the AND connector.

END

#define END

Rule statement to end a rule sentence.

FIS_RULES_BEGIN

#define FIS_RULES_BEGIN

Start a Fuzzy rule set. The FIS_RULES_BEGIN statement is used to declare the starting point of a FIS rule set. It should be placed at the start of the rules enumeration. FIS_RULES_END declare the end of the FIS rule set.

See also

FIS_RULES_END

Warning

Only one segment is allowed inside a fuzzy rule set.

Note

It must always be used together with a matching FIS_RULES_END statement. Example:

static const fis::rules Rules[] = {
    FIS_RULES_BEGIN
 
    FIS_RULES_END
};

FIS_RULES_END

#define FIS_RULES_END

Ends a Fuzzy rule set. The FIS_RULES_END statement is used to finalize the declaration of a FIS rule set. It should be placed at the end of the rules enumeration. FIS_RULES_BEGIN declare the start point of the FIS rule set.

See also

FIS_RULES_BEGIN

Warning

Only one segment is allowed inside a fuzzy rule set.

Note

It must always be used together with a matching FIS_RULES_BEGIN statement. Example:

static const fis::rules Rules[] = {
    FIS_RULES_BEGIN
 
    FIS_RULES_END
};

IF

#define IF

Rule statement to begin a rule sentence.

IS

#define IS

Rule statement to represent a premise.

IS_NOT

#define IS_NOT

Rule statement to represent a negated premise.

OR

#define OR

Rule statement to represent the OR connector.

THEN

#define THEN

Rule statement to represent the implication.

Typedef Documentation

deFuzzFunction

using qlibs::fis::deFuzzFunction

fuzzyOperator

using qlibs::fis::fuzzyOperator

rules

using qlibs::fis::rules

Type definition to instantiate a set of fuzzy rules.

Rules are defined by combining I/O and membership function tags with the following statements:

FIS_RULES_BEGIN, IF, IS, IS_NOT, AND, OR, THEN, END and FIS_RULES_END

Example:

static const fis::rules Rules[] = {
    FIS_RULES_BEGIN
        IF service IS service_poor OR food IS food_rancid THEN tip IS tip_cheap END
        IF service IS service_good THEN tip IS tip_average END
        IF service IS service_excellent OR food IS food_delicious THEN tip IS tip_generous END
    FIS_RULES_END
};

tag

using qlibs::fis::tag

Used to define an enum of fis tags.

Tags for I/O and set/membership functions should be defined within enums of this type Example:

enum : fis::tag { tag1, tag2, tag3 };

Enumeration Type Documentation

deFuzzMethod

enum qlibs::fis::deFuzzMethod

An enum with all the possible de-Fuzzyfication methods.

Enumerator
centroid	Center of gravity of the fuzzy set along the x-axis [ Only for Mamdani FIS ]
bisector	Vertical line that divides the fuzzy set into two sub-regions of equal area [ Only for Mamdani FIS ]
mom	Middle of Maximum [ Only for Mamdani FIS ]
lom	Largest of Maximum [ Only for Mamdani FIS ]
som	Smallest of Maximum [ Only for Mamdani FIS ]
wtaver	Weighted average of all rule outputs [ Only for Sugeno and Tsukamoto FIS ]
wtsum	Weighted sum of all rule outputs [ Only for Sugeno FIS ]

parameter

enum qlibs::fis::parameter

An enum with the allowed parameters that can be set on a FIS instance.

Enumerator
FIS_Implication	Only FIS_MIN and FIS_PROD supported
FIS_Aggregation	Only FIS_MAX, FIS_PROBOR and FIS_SUM supported
FIS_AND	Only FIS_MIN and FIS_PROD supported
FIS_OR	Only FIS_MAX and FIS_PROBOR supported
FIS_EvalPoints	The number of points for de-fuzzification

paramValue

enum qlibs::fis::paramValue

An enum with the supported parameter values.

Enumerator
FIS_MIN	Minimal value
FIS_PROD	Product
FIS_MAX	Maximum value
FIS_PROBOR	Probabilistic OR
FIS_SUM	Sum

shapeMF

enum qlibs::fis::shapeMF

An enum with all the possible values to specify a membership function.

Enumerator
custommf	Custom user-defined Membership function
trimf	Triangular Membership function f(a,b,c)
trapmf	Trapezoidal Membership function f(a,b,c,d)
gbellmf	Generalized bell-shaped Membership function f(a,b,c)
gaussmf	Gaussian Membership function f(s,c)
gauss2mf	Gaussian combination Membership function f(s1,c1,s2,c2)
sigmf	Sigmoidal Membership function f(a,c)
dsigmf	Difference between two sigmoidal Membership functions f(a1,c1,a2,c2)
psigmf	Product of two sigmoidal membership functions f(a1,c1,a2,c2)
pimf	Pi-shaped membership function f(a,b,c,d)
smf	S-shaped membership function f(a,b)
zmf	Z-shaped membership function f(a,b)
singletonmf	Singleton Membership Function f(a)
concavemf	Concave Membership Function f(i,e)
spikemf	Spike Membership Function f(w,c)
linsmf	Linear s-shaped saturation membership function f(a,b)
linzmf	Linear z-shaped saturation membership function f(a,b)
rectmf	Rectangle Membership Function f(s,e)
cosmf	Cosine Membership Function f(c,w)
constantmf	Constant membership function f(a) [Only for Sugeno FIS ]
linearmf	Linear membership function f(...) [Only for Sugeno FIS ]
tlinsmf	Tsukamoto s-shaped saturation membership function f(a,b) [Only for Tsukamoto FIS ]
tlinzmf	Tsukamoto linzmf membership function f(a,b) [ Only for fis::Tsukamoto FIS ]
tconcavemf	Tsukamoto z-shaped saturation membership function f(i,e) [Only for Tsukamoto FIS ]
tsigmf	Tsukamoto Sigmoid membership function f(a,c) [ Only for Tsukamoto FIS ]
tsmf	Tsukamoto S-Shape membership function f(a,b) [ Only for Tsukamoto FIS ]
tzmf	Tsukamoto Z-Shape membership function f(a,b) [ Only for Tsukamoto FIS ]
trampmf	Tsukamoto ramp membership function f(a,b) [ Only for Tsukamoto FIS ]

type

enum qlibs::fis::type

An enum with the inference system types supported by qlibs::fis.

Enumerator
Mamdani	Mamdani inference system. The output of each rule its a fuzzy logic set.
Sugeno	Takagi-Sugeno inference system. The output of each rule its a function either linear or constant.
Tsukamoto	Mamdani inference system. The output of each rule its a fuzzy logic set represented with a monotonic membership function.