Package org.moeaframework.core.indicator

Class R1Indicator

java.lang.Object

org.moeaframework.core.indicator.NormalizedIndicator

org.moeaframework.core.indicator.RIndicator

org.moeaframework.core.indicator.R1Indicator

All Implemented Interfaces:

Indicator

public class R1Indicator
extends RIndicator

Computes the R1 indicator. The R1 indicator measures the fraction of utility functions where the population is better than the reference set. Values range from [0, 1] with 1 preferred. Note that to achieve a value of 1, the population must be better than the reference set with respect to all utility functions.

References:

1. Hansen, M. P. and A. Jaszkiewicz (1998). Evaluating the Quality of Approximations to the Non-dominated Set. IMM Technical Report IMM-REP-1998-7.

Nested Class Summary

Nested classes/interfaces inherited from class org.moeaframework.core.indicator.RIndicator

RIndicator.ChebyshevUtility, RIndicator.LinearWeightedSumUtility, RIndicator.UtilityFunction

Field Summary

Fields

Modifier and Type	Field	Description
static final double	DEFAULT_EPSILON	The default value for epsilon.

Fields inherited from class org.moeaframework.core.indicator.RIndicator

utilityFunction, weights

Fields inherited from class org.moeaframework.core.indicator.NormalizedIndicator

problem

Constructor Summary

Constructors

Constructor	Description
R1Indicator(Problem problem, int subdivisions, NondominatedPopulation referenceSet)	Constructs a new R1 indicator using the Chebyshev utility function.
R1Indicator(Problem problem, int subdivisions, NondominatedPopulation referenceSet, Normalizer normalizer, RIndicator.UtilityFunction utilityFunction, double epsilon)	Constructs a new R1 indicator using the specified utility function.

Method Summary

Modifier and Type	Method	Description
double	evaluate(NondominatedPopulation population)	Returns the value of this unary quality indicator given the specified non-dominated population.

Methods inherited from class org.moeaframework.core.indicator.RIndicator

expectedUtility, getDefaultSubdivisions

Methods inherited from class org.moeaframework.core.indicator.NormalizedIndicator

getNormalizedReferenceSet, normalize

Methods inherited from class java.lang.Object

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

Field Details

DEFAULT_EPSILON

public static final double DEFAULT_EPSILON

The default value for epsilon.

See Also:

• Constant Field Values

Constructor Details

R1Indicator

public R1Indicator(Problem problem,
 int subdivisions,
 NondominatedPopulation referenceSet)

Constructs a new R1 indicator using the Chebyshev utility function. The default normalization procedure, as specified by DefaultNormalizer, is used.

Parameters:

problem - the problem

subdivisions - the number of subdivisions along each objective

referenceSet - the reference set

R1Indicator

public R1Indicator(Problem problem,
 int subdivisions,
 NondominatedPopulation referenceSet,
 Normalizer normalizer,
 RIndicator.UtilityFunction utilityFunction,
 double epsilon)

Constructs a new R1 indicator using the specified utility function.

Parameters:

problem - the problem

subdivisions - the number of subdivisions along each objective

referenceSet - the reference set

normalizer - the user-provided normalizer, or null if the default is used

utilityFunction - the utility function

epsilon - resolution when comparing two utility function values for equality

Method Details

evaluate

public double evaluate(NondominatedPopulation population)

Description copied from interface: Indicator

Returns the value of this unary quality indicator given the specified non-dominated population.

Parameters:

population - the non-dominated population to be evaluated

Returns:

the value of this quality indicator given the specified non-dominated population