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.ChebychevUtility, RIndicator.LinearWeightedSumUtility, RIndicator.UtilityFunction

Field Summary

static double

DEFAULT_EPSILON The default value for espilon.

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

utilityFunction, weights

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

problem

Constructor Summary

R1Indicator(Problem problem, int subdivisions, NondominatedPopulation referenceSet)
Constructs a new R1 indicator using the Chebychev utility function.

R1Indicator(Problem problem, int subdivisions, NondominatedPopulation referenceSet, RIndicator.UtilityFunction utilityFunction)
Constructs a new R1 indicator using the specified utility function.

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

Method Summary

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 Detail

DEFAULT_EPSILON

public static final double DEFAULT_EPSILON

The default value for espilon.

See Also:

Constant Field Values

Constructor Detail

R1Indicator

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

Constructs a new R1 indicator using the Chebychev utility function.

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,
                   RIndicator.UtilityFunction utilityFunction)

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

utilityFunction - the utility function

R1Indicator

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

utilityFunction - the utility function

Method Detail

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