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TrapezoidalFunction Class |
Membership function in the shape of a trapezoid. Can be a half trapzoid if the left or the right side is missing.
Inheritance HierarchyNamespace: Accord.Fuzzy
Assembly: Accord.Fuzzy (in Accord.Fuzzy.dll) Version: 3.8.0
SyntaxThe TrapezoidalFunction type exposes the following members.
Constructors| Name | Description | |
|---|---|---|
 | TrapezoidalFunction(Single, Single, TrapezoidalFunctionEdgeType) |
Initializes a new instance of the TrapezoidalFunction class.
With three points and an edge this shape can be a left fuzzy number (/--) or a right fuzzy number (--\).
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| TrapezoidalFunction(Single, Single, Single) |
Initializes a new instance of the TrapezoidalFunction class.
With three points the shape is known as triangular fuzzy number or just fuzzy number (/\).
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| TrapezoidalFunction(Single, Single, Single, Single) |
Initializes a new instance of the TrapezoidalFunction class.
With four points the shape is known as flat fuzzy number or fuzzy interval (/--\).
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| TrapezoidalFunction(Single, Single, Single, Single, TrapezoidalFunctionEdgeType) |
Initializes a new instance of the TrapezoidalFunction class.
With two points and an edge this shape can be a left fuzzy number (/) or a right fuzzy number (\).
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| TrapezoidalFunction(Single, Single, Single, Single, Single) |
Initializes a new instance of the TrapezoidalFunction class.
With three points the shape is known as triangular fuzzy number or just fuzzy number (/\).
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| TrapezoidalFunction(Single, Single, Single, Single, Single, Single) |
Initializes a new instance of the TrapezoidalFunction class.
With four points the shape is known as flat fuzzy number or fuzzy interval (/--\).
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Properties| Name | Description | |
|---|---|---|
 | LeftLimit |
The leftmost x value of the membership function, given by the first (X,Y) coordinate.
(Inherited from PiecewiseLinearFunction.) |
| RightLimit |
The rightmost x value of the membership function, given by the last (X,Y) coordinate.
(Inherited from PiecewiseLinearFunction.) |
Methods| Name | Description | |
|---|---|---|
| Equals | Determines whether the specified object is equal to the current object. (Inherited from Object.) |
 | Finalize | Allows an object to try to free resources and perform other cleanup operations before it is reclaimed by garbage collection. (Inherited from Object.) |
| GetHashCode | Serves as the default hash function. (Inherited from Object.) |
| GetMembership |
Calculate membership of a given value to the piecewise function.
(Inherited from PiecewiseLinearFunction.) |
| GetType | Gets the Type of the current instance. (Inherited from Object.) |
| MemberwiseClone | Creates a shallow copy of the current Object. (Inherited from Object.) |
| ToString | Returns a string that represents the current object. (Inherited from Object.) |
Fields| Name | Description | |
|---|---|---|
 | points |
Vector of (X,Y) coordinates for end/start of each line.
(Inherited from PiecewiseLinearFunction.) |
Extension Methods| Name | Description | |
|---|---|---|
 | HasMethod |
Checks whether an object implements a method with the given name.
(Defined by ExtensionMethods.) |
| IsEqual |
Compares two objects for equality, performing an elementwise
comparison if the elements are vectors or matrices.
(Defined by Matrix.) |
| To(Type) | Overloaded.
Converts an object into another type, irrespective of whether
the conversion can be done at compile time or not. This can be
used to convert generic types to numeric types during runtime.
(Defined by ExtensionMethods.) |
| ToT | Overloaded.
Converts an object into another type, irrespective of whether
the conversion can be done at compile time or not. This can be
used to convert generic types to numeric types during runtime.
(Defined by ExtensionMethods.) |
RemarksSince the PiecewiseLinearFunction can represent any piece wise linear function, it can represent trapezoids too. But as trapezoids are largely used in the creation of Linguistic Variables, this class simplifies the creation of them.
Sample usage:
// creating a typical triangular fuzzy set /\ TrapezoidalFunction function1 = new TrapezoidalFunction( 10, 20, 30 ); // creating a right fuzzy set, the rigth side of the set is fuzzy but the left is opened TrapezoidalFunction function2 = new TrapezoidalFunction( 10, 20, 30, TrapezoidalFunction.EdgeType.Right );
See Also