TFuzzySet Class

TGCollectionItem
FuzzyLogic.TFuzzySet
IFuzzyLogic.TIFuzzySet

Delphi

type
TFuzzySet = class(TGCollectionItem)
end;

	Name	Description
	Create(TCollection)	Initializes a new instance of the TFuzzySet class.
	Destroy	Represents the destructor of the TFuzzySet class.

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	Name	Description
	AsString	Returns a string representation of the fuzzy set. The string representation is parsable by the parser defined in the Parser property
	Collection	Returns the collection of fuzzy sets
	Comment	Contains a comment about the fuzzy set. Use this property for any descriptive text you want to define about the fuzzy set.
	CompatibilityIndex	Provides a measure of the validness of a fuzzy result (between 0 and 1).
	Defined	Used by the Fuzzy Logic engine, do not use
	DefuzzifyValue	Returns a single floating pointing value that best represents the fuzzy set, it uses the DefuzzificationMethod specified by the fuzzy Variable
	Expression	Contains an updated string of the operations used to create the fuzzy set. For example, if you create a warm fuzzy set and then apply the VERY hedge, the Expression property would contain 'very warm'
	InflectionPoint	Holds the X value inflection point of the fuzzy set.
	Name	Holds the name of the fuzzy set, e.g., warm. It is the term that describes this particular fuzzy set.
	SetType	Provides a fast method for defining common "shapes" (the truth value shape) of the fuzzy set. Change the SetType property to quickly create growth and decline curves, bell shapes, etc.
	Tag	Represents property Tag.
	Values	Returns the XY value pairs that define the shape of the fuzzy set. The Y Values determine the degree of membership value of any X value in the fuzzy set. Changing the X value can change the order of the XY value pairs, e.g., if you have three points ((0.3 0.3) (0.5 1) (1 0)), changing XValues[1] from 0.5 to 0 will cause the list to look like this: ((0 1) (0.3 0.3) (1 0)).
	ValuesToString	Returns a string representation of the XY value pairs that determine the shape of the fuzzy set
	Variable	Tracks the "parent" of the fuzzy set, its fuzzy variable, just as the fuzzy variable tracks its children.
	XMaximum	Defines the maximum X value in the fuzzy set's universe of discourse.
	XMinimum	Defines the minimum X value in the fuzzy set's universe of discourse.

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	Name	Description
	AlphaCutoff(TFzyFloat,Boolean)	Returns a new fuzzy set where the curve values below (weak alpha cutoff) or below-and-equals (strong alpha cutoff) the cutoff value are set to zero. The Cutoff value is a Y Value between 0 and 1.
	Assign(TPersistent)	Represents method Assign(TPersistent).
	CenterOfGravity	Returns a floating point value representing the fuzzy set.
	Clone	Creates a copy of the fuzzy set
	Correlate(TFzyFloat)	Overloaded. Modifies the fuzzy set by the CorrelationStrength parameter according to the correlation method.
	Correlate(TFzyFloat,TFuzzyCorrelationMethod)	Overloaded. Modifies the fuzzy set by the CorrelationStrength parameter according to the correlation method.
	CreateBetaCurveFunctionValues(Integer,TFzyFloat,TFzyFloat,TFzyFloat)	Overloaded. Creates a beta curve to define the fuzzy set shape (bell shaped). The Num parameter indicates the number of points to use to define the curve. Center and range define the bell curve. InflectionPoint defines the point for the change in slope for the bell curve
	CreateBetaCurveFunctionValues(Integer,TFzyFloat,TFzyFloat,TFzyFloat,TFzyFloat)	Overloaded. Creates a beta curve to define the fuzzy set shape (bell shaped). The Num parameter indicates the number of points to use to define the curve. Center and range define the bell curve. InflectionPoint defines the point for the change in slope for the bell curve. Finally, Weight controls the strength of the bell shape.
	CreateCrispValue(TFzyFloat)	Creates a crisp (non-fuzzy like) value shape
	CreateCurveValues(Integer,TFzyFloat,TFzyFloat,TFzyFloat,Boolean)	Creates a growth or decline slope to define the fuzzy set shape. The Num parameter indicates the number of points to use to define the shape. Left defines when the slope starts to increase or decrease, and Right defines when the slope ends. InflectionPoint defines the point for the change in slope. Finally, the Growth parameter controls whether a growth or decline slope is created.
	CreatePIFunctionValues(Integer,TFzyFloat,TFzyFloat)	Overloaded. Creates a PI curve to define the fuzzy set shape (bell shape). The Num parameter indicates the number of points to use to define the curve. Center defines the center (top point) of the bell curve. Range defines the ends of the bell curve.
	CreatePIFunctionValues(Integer,TFzyFloat,TFzyFloat,TFzyFloat)	Overloaded. Creates a PI curve to define the fuzzy set shape (bell shape). The Num parameter indicates the number of points to use to define the curve. Center defines the center (top point) of the bell curve. Left and Right define the ends of the bell curve.
	CreateTriangleFunctionValues(TFzyFloat,TFzyFloat,TFzyFloat)	Creates a sawtooth fuzzy shape. Left, Middle, and Right define the X points for the sawtooth or triangle.
	CreateValues	Represents method CreateValues.
	Cutoff(TFzyFloat,Boolean)	Returns a new fuzzy set where shape either above (intersection) or below (union) the Cutoff value is truncated.
	Defuzzify	Returns a single floating pointing value that best represents the fuzzy set, it uses the DefuzzificationMethod specified by the fuzzy Variable
	DegreeOfMembership(TFzyFloat)	Returns the degree of membership of the value in the fuzzy set. The value returns is between 0 (no membership) and 1 (full membership).
	Equals(TFuzzySet)	Returns TRUE if the two fuzzy sets equal.
	FuzzyApproximation(Integer,TFzyFloat)	Represents method FuzzyApproximation(Integer,TFzyFloat).
	FuzzyContrast(Integer,TFzyFloat)	Represents method FuzzyContrast(Integer,TFzyFloat).
	FuzzyEquals(TFuzzySet)	Determines how much the given value (usually another IFuzzySet) equals the fuzzy set.
	FuzzyOperatorIntersectionBoundedSum(TFuzzySetValues,TFzyFloat,TFzyFloat,TFzyFloat,TFzyFloat)	Represents method FuzzyOperatorIntersectionBoundedSum(TFuzzySetValues,TFzyFloat,TFzyFloat,TFzyFloat,TFzyFloat).
	FuzzyOperatorIntersectionProduct(TFuzzySetValues,TFzyFloat,TFzyFloat,TFzyFloat,TFzyFloat)	Represents method FuzzyOperatorIntersectionProduct(TFuzzySetValues,TFzyFloat,TFzyFloat,TFzyFloat,TFzyFloat).
	FuzzyOperatorMax(TFuzzySetValues,TFzyFloat,TFzyFloat,TFzyFloat,TFzyFloat)	Represents method FuzzyOperatorMax(TFuzzySetValues,TFzyFloat,TFzyFloat,TFzyFloat,TFzyFloat).
	FuzzyOperatorMaxOfMin(TFzyFloat,TFzyFloat,TFzyFloat,TFzyFloat)	Represents method FuzzyOperatorMaxOfMin(TFzyFloat,TFzyFloat,TFzyFloat,TFzyFloat).
	FuzzyOperatorMean(TFuzzySetValues,TFzyFloat,TFzyFloat,TFzyFloat,TFzyFloat)	Represents method FuzzyOperatorMean(TFuzzySetValues,TFzyFloat,TFzyFloat,TFzyFloat,TFzyFloat).
	FuzzyOperatorMeanSqr(TFuzzySetValues,TFzyFloat,TFzyFloat,TFzyFloat,TFzyFloat)	Represents method FuzzyOperatorMeanSqr(TFuzzySetValues,TFzyFloat,TFzyFloat,TFzyFloat,TFzyFloat).
	FuzzyOperatorMeanSqrt(TFuzzySetValues,TFzyFloat,TFzyFloat,TFzyFloat,TFzyFloat)	Represents method FuzzyOperatorMeanSqrt(TFuzzySetValues,TFzyFloat,TFzyFloat,TFzyFloat,TFzyFloat).
	FuzzyOperatorMin(TFuzzySetValues,TFzyFloat,TFzyFloat,TFzyFloat,TFzyFloat)	Represents method FuzzyOperatorMin(TFuzzySetValues,TFzyFloat,TFzyFloat,TFzyFloat,TFzyFloat).
	FuzzyOperatorMinThreshold(TFzyFloat,TFzyFloat,TFzyFloat,TFzyFloat)	Represents method FuzzyOperatorMinThreshold(TFzyFloat,TFzyFloat,TFzyFloat,TFzyFloat).
	FuzzyOperatorUnionBoundedSum(TFuzzySetValues,TFzyFloat,TFzyFloat,TFzyFloat,TFzyFloat)	Represents method FuzzyOperatorUnionBoundedSum(TFuzzySetValues,TFzyFloat,TFzyFloat,TFzyFloat,TFzyFloat).
	FuzzyOperatorUnionMean(TFuzzySetValues,TFzyFloat,TFzyFloat,TFzyFloat,TFzyFloat)	Represents method FuzzyOperatorUnionMean(TFuzzySetValues,TFzyFloat,TFzyFloat,TFzyFloat,TFzyFloat).
	FuzzyOperatorUnionProduct(TFuzzySetValues,TFzyFloat,TFzyFloat,TFzyFloat,TFzyFloat)	Represents method FuzzyOperatorUnionProduct(TFuzzySetValues,TFzyFloat,TFzyFloat,TFzyFloat,TFzyFloat).
	FuzzyOperatorUnionSum(TFuzzySetValues,TFzyFloat,TFzyFloat,TFzyFloat,TFzyFloat)	Represents method FuzzyOperatorUnionSum(TFuzzySetValues,TFzyFloat,TFzyFloat,TFzyFloat,TFzyFloat).
	GetCompatibilityIndex	Represents method GetCompatibilityIndex.
	GetCorrelationStrength(TFuzzySet)	Overloaded. Returns the strength of the match between the fuzzy set and the Match fuzzy set. It is calculated based on the maximum value in the intersection of the two fuzzy sets
	GetDisplayName	Represents method GetDisplayName.
	GetMaxYValueOfX(Integer,Integer)	Represents method GetMaxYValueOfX(Integer,Integer).
	GetMinYValueOfX(Integer,Integer)	Represents method GetMinYValueOfX(Integer,Integer).
	GetSlope(TFuzzySetValue,TFuzzySetValue)	Represents method GetSlope(TFuzzySetValue,TFuzzySetValue).
	GetValuesToString	Represents method GetValuesToString.
	GetXRange(Integer)	Represents method GetXRange(Integer).
	Hedge(TBaseFuzzyHedge,TFzyFloat,Boolean)	Overloaded. Modifies the fuzzy set using the specified hedge type. The current fuzzy set is returned, not a new fuzzy set. This method applies the basic hedge modifications, such as minus, plus, product, etc
	Hedge(TFuzzyHedge)	Overloaded. Modifies the fuzzy set using the specified hedge type. The current fuzzy set is returned, not a new fuzzy set.
	Infer(TFuzzySet,Boolean)	Overloaded. Returns a fuzzy set which represents the consequent of a correlation rule (see AssertRule), where the current fuzzy set is modified by the NewEvidence fuzzy set.
	Infer(TFuzzySet,TFuzzyInferenceMethod,Boolean)	Overloaded. Returns a fuzzy set which represents the consequent of a correlation rule (see AssertRule), where the current fuzzy set is modified by the NewEvidence fuzzy set.
	Intensify(Integer,TFzyFloat)	Represents method Intensify(Integer,TFzyFloat).
	InterpolateX(TFzyFloat,TFzyFloat,TFzyFloat,TFzyFloat,TFzyFloat)	Returns the X Value corresponding to the Y Value on the line represented by X1, Y1 to X2, Y2.
	InterpolateY(TFzyFloat,TFzyFloat,TFzyFloat,TFzyFloat,TFzyFloat)	Returns the Y Value corresponding to the X Value on the line represented by X1, Y1 to X2, Y2.
	Intersection(TFuzzySet)	Overloaded. Returns a new fuzzy set representing the intersection (AND) of the current fuzzy set with the FuzzySet parameter, e.g, hot AND cold.
	Intersection(TFuzzySet,TFuzzyOperation)	Overloaded. Returns a new fuzzy set representing the intersection (AND) of the current fuzzy set with the FuzzySet parameter, e.g, hot AND cold. It uses the specified operation for calculating the intersection.
	Intersects(TFuzzySet)	Returns TRUE if the current fuzzy set intersects the passed in fuzzy set. Two fuzzy sets intersect if at any point in the universe of discourse (between XMinimum and XMaximum), both fuzzy sets have non-zero memberships
	IsUndecidable	Measures the validness of a fuzzy result (between 0 and 1).
	Iterate(TFuzzySet,TFuzzyComparison)	Iterates through all the points in Self and the FuzzySet parameter, and calls the fuzzy operator at each point. No FuzzySet is returned. If the Fuzzy Operator function returns True it means that this method should abort and this method returns True.
	LineSegmentIntersects(TFuzzySetValue,TFuzzySetValue,TFuzzySetValue,TFuzzySetValue)	Overloaded. Represents method LineSegmentIntersects(TFuzzySetValue,TFuzzySetValue,TFuzzySetValue,TFuzzySetValue).
	LineSegmentIntersects(TFzyFloat,TFzyFloat,TFzyFloat,TFzyFloat,TFzyFloat,TFzyFloat,TFzyFloat,TFzyFloat,TFzyFloat,TFzyFloat)	Overloaded. Represents method LineSegmentIntersects(TFzyFloat,TFzyFloat,TFzyFloat,TFzyFloat,TFzyFloat,TFzyFloat,TFzyFloat,TFzyFloat,TFzyFloat,TFzyFloat).
	MeanOfMaxima	Returns a floating point value representing the fuzzy set.
	Normalize	Normalizes the current fuzzy set and returns itself. Normalization acts to "stretch" the fuzzy set vertically. It finds the maximum Y value in the fuzzy set, scales that value up to 1 and then scales the rest of the fuzzy set by that amount.
	Operator(TFuzzySet,String,TFuzzyOperator)	Iterates through all the points in Self and FuzzySet and calls operator on the points. However, unlike Iterate, it creates a new fuzzy set created by the FuzzyOperator (it is the responsibility of the FuzzyOperator to add points to the result fuzzy set). If the Fuzzy Operator function returns True it means that this method should abort.
	SetComment(String)	Represents method SetComment(String).
	SetName(String)	Specifies the Name of the fuzzy set
	SetSetType(TFuzzySetType)	Represents method SetSetType(TFuzzySetType).
	ToString	Returns a string representation of the fuzzy set. The string representation is parsable by the parser defined in the Parser property
	Union(TFuzzySet)	Overloaded. Returns a new fuzzy set representing the union (OR) of the current fuzzy set with the FuzzySet parameter, e.g, hot OR cold.
	Union(TFuzzySet,TFuzzyOperation)	Overloaded. Returns a new fuzzy set representing the union (OR) of the current fuzzy set with the FuzzySet parameter, e.g, hot OR cold. It uses the specified operation for calculating the intersection.
	UpdateFuzzySetValue(TFuzzySetValue)	Represents method UpdateFuzzySetValue(TFuzzySetValue).
	UpdateFuzzySetValues	Represents method UpdateFuzzySetValues.

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	Name	Description
	FMax	Represents field FMax.

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Each fuzzy set defines the meaning of one term (or value) in the fuzzy variable. For example, the fuzzy variable "temperature" could have sets for the terms: cold, warm, and hot. Fuzzy sets describe a fuzzy value, meaning that it has imprecise or fuzzy boundaries describing the value. Classical logic defines terms with crisp boundaries: Cold is TRUE when the value is between 0 and 32, FALSE otherwise. The fuzzy set cold could have values stating that it is definitely cold (100%) when the temperature is less than 20, As the temperature increases between 21 and 32 degrees, the chance of being considered cold drops down to 50%, 50-40% chance from 33 - 50 degrees, etc.

Fuzzy Set truth values are determined by the XY value pairs that make up their "shape". The XY value pairs define a 2D plot. The X range varies over the universe of discourse. The Y Range varies from 0 (completely not a member) to 1 (completely a member). For example, the fuzzy set cold above would have the following XY value pairs: ((20 1) (32 0.5) (50 0.4) (60 0)).

Reference

•FuzzyLogic.TFuzzySetValue

•FuzzyLogic.TFuzzySetValues

•FuzzyLogic

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