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CentroidDefuzzifier Class |
Inheritance HierarchyAccord.FuzzyCentroidDefuzzifier
Namespace: Accord.Fuzzy
Assembly: Accord.Fuzzy (in Accord.Fuzzy.dll) Version: 3.8.0
SyntaxThe CentroidDefuzzifier type exposes the following members.
Constructors| Name | Description | |
|---|---|---|
 | CentroidDefuzzifier |
Initializes a new instance of the CentroidDefuzzifier class.
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Methods| Name | Description | |
|---|---|---|
| Defuzzify |
Centroid method to obtain the numerical representation of a fuzzy output. The numerical
value will be the center of the shape formed by the several fuzzy labels with their
constraints.
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| 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.) |
| 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.) |
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.) |
RemarksIn many applications, a Fuzzy Inference System is used to perform linguistic computation, but at the end of the inference process, a numerical value is needed. It does not mean that the system needs precision, but simply that a numerical value is required, most of the times because it will be used to control another system that needs the number. To obtain this numer, a defuzzification method is performed.
This class implements the centroid defuzzification method. The output of a Fuzzy Inference System is a set of rules (see Rule) with firing strength greater than zero. Those firing strength apply a constraint to the consequent fuzzy sets (see FuzzySet) of the rules. Putting all those fuzzy sets togheter results in a a shape that is the linguistic output meaning.
The centroid method calculates the center of the area of this shape to obtain the numerical representation of the output. It uses a numerical approximation, so a number of intervals must be choosen. As the number of intervals grow, the precision of the numerical ouput grows.
For a sample usage of the CentroidDefuzzifier see InferenceSystem class.
See Also