Catalano.Fuzzy

Class TrapezoidalFunction

java.lang.Object

Catalano.Fuzzy.PiecewiseLinearFunction

Catalano.Fuzzy.TrapezoidalFunction

All Implemented Interfaces:

IMembershipFunction

public class TrapezoidalFunction
extends PiecewiseLinearFunction

Membership function in the shape of a trapezoid. Can be a half trapzoid if the left or the right side is missing.

Nested Class Summary

Nested Classes

Modifier and Type	Class and Description
static class	TrapezoidalFunction.EdgeType Enumeration used to create trapezoidal membership functions with half trapezoids.

Constructor Summary

Constructors

Constructor and Description
TrapezoidalFunction(float m1, float m2, float m3) Initializes a new instance of the TrapezoidalFunction class.
TrapezoidalFunction(float m1, float m2, float m3, float m4) Initializes a new instance of the TrapezoidalFunction class.
TrapezoidalFunction(float m1, float m2, float m3, float max, float min) Initializes a new instance of the TrapezoidalFunction class.
TrapezoidalFunction(float m1, float m2, float m3, float m4, float max, float min) Initializes a new instance of the TrapezoidalFunction class.
TrapezoidalFunction(float m1, float m2, float max, float min, TrapezoidalFunction.EdgeType edge) Initializes a new instance of the TrapezoidalFunction class.
TrapezoidalFunction(float m1, float m2, TrapezoidalFunction.EdgeType edge) Initializes a new instance of the TrapezoidalFunction class.

Method Summary

Methods inherited from class Catalano.Fuzzy.PiecewiseLinearFunction

GetMembership, LeftLimit, RightLimit

Methods inherited from class java.lang.Object

equals, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait

Constructor Detail

TrapezoidalFunction

public TrapezoidalFunction(float m1,
                           float m2,
                           float m3,
                           float m4,
                           float max,
                           float min)

Initializes a new instance of the TrapezoidalFunction class.

Parameters:

m1 - X value where the degree of membership starts to raise.

m2 - X value where the degree of membership reaches the maximum value.

m3 - X value where the degree of membership starts to fall.

m4 - X value where the degree of membership reaches the minimum value.

max - The maximum value that the membership will reach, [0, 1].

min - The minimum value that the membership will reach, [0, 1].

TrapezoidalFunction

public TrapezoidalFunction(float m1,
                           float m2,
                           float m3,
                           float m4)

Initializes a new instance of the TrapezoidalFunction class.

Parameters:

m1 - X value where the degree of membership starts to raise.

m2 - X value where the degree of membership reaches the maximum value.

m3 - X value where the degree of membership starts to fall.

m4 - X value where the degree of membership reaches the minimum value.

TrapezoidalFunction

public TrapezoidalFunction(float m1,
                           float m2,
                           float m3,
                           float max,
                           float min)

Initializes a new instance of the TrapezoidalFunction class.
With three points the shape is known as triangular fuzzy number or just fuzzy number (/\).

Parameters:

m1 - X value where the degree of membership starts to raise.

m2 - X value where the degree of membership reaches the maximum value and starts to fall.

m3 - X value where the degree of membership reaches the minimum value.

max - The maximum value that the membership will reach, [0, 1].

min - The minimum value that the membership will reach, [0, 1].

TrapezoidalFunction

public TrapezoidalFunction(float m1,
                           float m2,
                           float m3)

Initializes a new instance of the TrapezoidalFunction class.
With three points the shape is known as triangular fuzzy number or just fuzzy number (/\).

Parameters:

m1 - X value where the degree of membership starts to raise.

m2 - X value where the degree of membership reaches the maximum value and starts to fall.

m3 - X value where the degree of membership reaches the minimum value. Maximum membership value is set to 1.0 and the minimum is set to 0.0.

TrapezoidalFunction

public TrapezoidalFunction(float m1,
                           float m2,
                           float max,
                           float min,
                           TrapezoidalFunction.EdgeType edge)

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 (\).

Parameters:

m1 - Edge = Left: X value where the degree of membership starts to raise.
Edge = Right: X value where the function starts, with maximum degree of membership.

m2 - Edge = Left: X value where the degree of membership reaches the maximum.
Edge = Right: X value where the degree of membership reaches minimum value.

max - The maximum value that the membership will reach, [0, 1].

min - The minimum value that the membership will reach, [0, 1].

edge - Trapezoid's EdgeType.

TrapezoidalFunction

public TrapezoidalFunction(float m1,
                           float m2,
                           TrapezoidalFunction.EdgeType edge)

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 (--\).

Parameters:

m1 - Edge = Left: X value where the degree of membership starts to raise.
Edge = Right: X value where the function starts, with maximum degree of membership.

m2 - Edge = Left: X value where the degree of membership reaches the maximum.
Edge = Right: X value where the degree of membership reaches minimum value.

edge - Trapezoid's EdgeType.