moeoHypervolumeBinaryMetric(3)

NAME
moeoHypervolumeBinaryMetric - Hypervolume binary metric allowing to compare two objective vectors as proposed in Zitzler E., Künzli S.

SYNOPSIS

#include <moeoHypervolumeBinaryMetric.h>

Inherits moeoNormalizedSolutionVsSolutionBinaryMetric< ObjectiveVector, double >.

  Public Member Functions
moeoHypervolumeBinaryMetric (double _rho=1.1)
Ctor.
double operator() (const ObjectiveVector &_o1, const ObjectiveVector &_o2)
Returns the volume of the space that is dominated by _o2 but not by _o1 with respect to a reference point computed using rho.

  Private Member Functions
double hypervolume (const ObjectiveVector &_o1, const ObjectiveVector &_o2, const unsigned int _obj, const bool _flag=false)
Returns the volume of the space that is dominated by _o2 but not by _o1 with respect to a reference point computed using rho for the objective _obj.

  Private Attributes
double rho
value used to compute the reference point from the worst values for each objective
moeoParetoObjectiveVectorComparator< ObjectiveVector > paretoComparator
Functor to compare two objective vectors according to Pareto dominance relation.

Detailed Description

  template<class ObjectiveVector> class moeoHypervolumeBinaryMetric< ObjectiveVector >
Hypervolume binary metric allowing to compare two objective vectors as proposed in Zitzler E., Künzli S. : Indicator-Based Selection in Multiobjective Search. In Parallel Problem Solving from Nature (PPSN VIII). Lecture Notes in Computer Science 3242, Springer, Birmingham, UK pp.832–842 (2004). This indicator is based on the hypervolume concept introduced in Zitzler, E., Thiele, L.: Multiobjective Optimization Using Evolutionary Algorithms - A Comparative Case Study. Parallel Problem Solving from Nature (PPSN-V), pp.292-301 (1998).

Definition at line 29 of file moeoHypervolumeBinaryMetric.h.

Constructor & Destructor Documentation

  template<class ObjectiveVector> moeoHypervolumeBinaryMetric< ObjectiveVector >::moeoHypervolumeBinaryMetric (double _rho = 1.1) [inline]

Ctor.

Parameters:
    _rho value used to compute the reference point from the worst values for each objective (default : 1.1)

Definition at line 37 of file moeoHypervolumeBinaryMetric.h.

References moeoHypervolumeBinaryMetric< ObjectiveVector >::rho.

Member Function Documentation

  template<class ObjectiveVector> double moeoHypervolumeBinaryMetric< ObjectiveVector >::operator() (const ObjectiveVector & _o1, const ObjectiveVector & _o2) [inline]

Returns the volume of the space that is dominated by _o2 but not by _o1 with respect to a reference point computed using rho.

Warning:
    don't forget to set the bounds for every objective before the call of this function

Parameters:
    _o1 the first objective vector
    _o2 the second objective vector

Definition at line 63 of file moeoHypervolumeBinaryMetric.h.

References moeoHypervolumeBinaryMetric< ObjectiveVector >::hypervolume(), and moeoHypervolumeBinaryMetric< ObjectiveVector >::paretoComparator.

  template<class ObjectiveVector> double moeoHypervolumeBinaryMetric< ObjectiveVector >::hypervolume (const ObjectiveVector & _o1, const ObjectiveVector & _o2, const unsigned int _obj, const bool _flag = false) [inline, private]

Returns the volume of the space that is dominated by _o2 but not by _o1 with respect to a reference point computed using rho for the objective _obj.

Parameters:
    _o1 the first objective vector
    _o2 the second objective vector
    _obj the objective index
    _flag used for iteration, if _flag=true _o2 is not talen into account (default : false)

Definition at line 96 of file moeoHypervolumeBinaryMetric.h.

References moeoNormalizedSolutionVsSolutionBinaryMetric< ObjectiveVector, double >::bounds, and moeoHypervolumeBinaryMetric< ObjectiveVector >::rho.

Referenced by moeoHypervolumeBinaryMetric< ObjectiveVector >::operator()().

Author

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