org.knime.base.node.mine.bfn.fuzzy.norm
Class LukaNorm

java.lang.Object
  org.knime.base.node.mine.bfn.fuzzy.norm.LukaNorm

All Implemented Interfaces:

Norm

public final class LukaNorm
extends Object
implements Norm

LUKASIEWICZ norm. Special case of the Yager Norm Yager(p=1).

Author:

Thomas Gabriel, University of Konstanz

Field Summary

Fields inherited from interface org.knime.base.node.mine.bfn.fuzzy.norm.Norm

NORM_KEY, NORMS

Method Summary

double	computeTCoNorm(double a, double b) Computes the TCo-Norm as min(a+b,1).
double	computeTNorm(double a, double b) Computes the T-Norm as max(0,a+b-1).
static Norm	getInstance() Returns an static instance of this norm.
String	toString() Returns the string representation Lukasiewicz Norm of this norm.

Methods inherited from class java.lang.Object

clone, equals, finalize, getClass, hashCode, notify, notifyAll, wait, wait, wait

Method Detail

getInstance

public static final Norm getInstance()

Returns an static instance of this norm.

Returns:

an instance of this class

computeTNorm

public final double computeTNorm(double a,
                                 double b)

Computes the T-Norm as max(0,a+b-1).

Specified by:

computeTNorm in interface Norm

Parameters:

a - the membership degree of fuzzy membership function A

b - the membership degree of fuzzy membership function B

Returns:

the calculated fuzzy t-norm

computeTCoNorm

public final double computeTCoNorm(double a,
                                   double b)

Computes the TCo-Norm as min(a+b,1).

Specified by:

computeTCoNorm in interface Norm

Parameters:

a - the membership degree of fuzzy membership function A

b - the membership degree of fuzzy membership function B

Returns:

the calculated fuzzy tco-norm

toString

public final String toString()

Returns the string representation Lukasiewicz Norm of this norm.

Overrides:

toString in class Object

Returns:

an identifier for this norm