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MinimumNorm Class
Minimum Norm, used to calculate the linguistic value of a AND operation.
Inheritance Hierarchy
SystemObject
  Accord.FuzzyMinimumNorm

Namespace:  Accord.Fuzzy
Assembly:  Accord.Fuzzy (in Accord.Fuzzy.dll) Version: 3.8.0
Syntax
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public class MinimumNorm : INorm
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The MinimumNorm type exposes the following members.

Constructors
  NameDescription
Public methodMinimumNorm
Initializes a new instance of the MinimumNorm class
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Methods
  NameDescription
Public methodEquals
Determines whether the specified object is equal to the current object.
(Inherited from Object.)
Public methodEvaluate
Calculates the numerical result of the AND operation applied to two fuzzy membership values using the minimum rule.
Protected methodFinalize
Allows an object to try to free resources and perform other cleanup operations before it is reclaimed by garbage collection.
(Inherited from Object.)
Public methodGetHashCode
Serves as the default hash function.
(Inherited from Object.)
Public methodGetType
Gets the Type of the current instance.
(Inherited from Object.)
Protected methodMemberwiseClone
Creates a shallow copy of the current Object.
(Inherited from Object.)
Public methodToString
Returns a string that represents the current object.
(Inherited from Object.)
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Extension Methods
  NameDescription
Public Extension MethodHasMethod
Checks whether an object implements a method with the given name.
(Defined by ExtensionMethods.)
Public Extension MethodIsEqual
Compares two objects for equality, performing an elementwise comparison if the elements are vectors or matrices.
(Defined by Matrix.)
Public Extension MethodTo(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.)
Public Extension MethodToTOverloaded.
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.)
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Remarks

The minimum Norm uses a minimum operator to compute the AND among two fuzzy memberships.

Sample usage:

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// creating 2 fuzzy sets to represent Cool (Temperature) and Near (Distance)
TrapezoidalFunction function1 = new TrapezoidalFunction( 13, 18, 23, 28 );
FuzzySet fsCool = new FuzzySet( "Cool", function1 );
TrapezoidalFunction function2 = new TrapezoidalFunction( 23, 28, 33, 38 );
FuzzySet fsNear = new FuzzySet( "Near", function2 );

// getting memberships
float m1 = fsCool.GetMembership( 15 );
float m2 = fsNear.GetMembership( 35 );

// computing the membership of "Cool AND Near"
MinimumNorm AND = new MinimumNorm( );
float result = AND.Evaluate( m1, m2 );

// show result
Console.WriteLine( result );
See Also