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PiecewiseLinearFunction Class |
Membership function composed by several connected linear functions.
Inheritance HierarchyNamespace: Accord.Fuzzy
Assembly: Accord.Fuzzy (in Accord.Fuzzy.dll) Version: 3.8.0
SyntaxThe PiecewiseLinearFunction type exposes the following members.
Constructors| Name | Description | |
|---|---|---|
 | PiecewiseLinearFunction |
Initializes a new instance of the PiecewiseLinearFunction class.
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 | PiecewiseLinearFunction(Point) |
Initializes a new instance of the PiecewiseLinearFunction class.
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Properties| Name | Description | |
|---|---|---|
 | LeftLimit |
The leftmost x value of the membership function, given by the first (X,Y) coordinate.
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| RightLimit |
The rightmost x value of the membership function, given by the last (X,Y) coordinate.
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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.
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| 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
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.) |
RemarksThe piecewise linear is a generic function used by many specific fuzzy membership functions, like the trappezoidal function. This class must be instantiated with a sequence of points representing the edges of each one of the lines composing the piecewise function.
 Note |
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| The x-axis points must be ordered (crescent), so the GetMembership(Single) function will use each X value as an ending point for one line and starting point of the next. |
While trapezoidal and half trapezoidal are classic functions used in fuzzy functions, this class supports any function or approximation that can be represented as a sequence of lines.
Sample usage:
// creating an array of points representing a typical trapezoidal function /-\ Point [] points = new Point[4]; // point where membership starts to rise points[0] = new Point( 10, 0 ); // maximum membership (1) reached at the second point points[1] = new Point( 20, 1 ); // membership starts to fall at the third point points[2] = new Point( 30, 1 ); // membership gets to zero at the last point points[3] = new Point( 40, 0 ); // creating the instance PiecewiseLinearFunction membershipFunction = new PiecewiseLinearFunction( points ); // getting membership for several points for ( int i = 5; i < 45; i++ ) Console.WriteLine( membershipFunction.GetMembership( i ) );
See Also