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# moeoEntropyMetric< ObjectiveVector > Class Template Reference

The entropy gives an idea of the diversity of a Pareto set relatively to another (Basseur, Seynhaeve, Talbi: 'Design of Multi-objective Evolutionary Algorithms: Application to the Flow-shop Scheduling Problem', in Proc. More...

`#include <moeoEntropyMetric.h>`

Inheritance diagram for moeoEntropyMetric< ObjectiveVector >:

List of all members.

## Public Member Functions
double | operator() (const std::vector< ObjectiveVector > &_set1, const std::vector< ObjectiveVector > &_set2)
| Returns the entropy of the Pareto set '_set1' relatively to the Pareto set '_set2'.
## Private Member Functions
void | removeDominated (std::vector< ObjectiveVector > &_f)
| Removes the dominated individuals contained in _f.
void | prenormalize (const std::vector< ObjectiveVector > &_f)
| Prenormalization.
void | normalize (std::vector< ObjectiveVector > &_f)
| Normalization.
void | computeUnion (const std::vector< ObjectiveVector > &_f1, const std::vector< ObjectiveVector > &_f2, std::vector< ObjectiveVector > &_f)
| Computation of the union of _f1 and _f2 in _f.
unsigned int | howManyInNicheOf (const std::vector< ObjectiveVector > &_f, const ObjectiveVector &_s, unsigned int _size)
| How many in niche.
double | euclidianDistance (const ObjectiveVector &_set1, const ObjectiveVector &_to, unsigned int _deg=2)
| Euclidian distance.
## Private Attributes
std::vector< double > | vect_min_val
| vector of min values
std::vector< double > | vect_max_val
| vector of max values
moeoParetoObjectiveVectorComparator< ObjectiveVector > | paretoComparator
| Functor to compare two objective vectors according to Pareto dominance relation.

## Detailed Description

### template<class ObjectiveVector>
class moeoEntropyMetric< ObjectiveVector >

The entropy gives an idea of the diversity of a Pareto set relatively to another (Basseur, Seynhaeve, Talbi: 'Design of Multi-objective Evolutionary Algorithms: Application to the Flow-shop Scheduling Problem', in Proc.

of the 2002 Congress on Evolutionary Computation, IEEE Press, pp. 1155-1156)

Definition at line 25 of file moeoEntropyMetric.h.

## Member Function Documentation

template<class ObjectiveVector>

double moeoEntropyMetric< ObjectiveVector >::operator() | ( | const std::vector< ObjectiveVector > & | _set1,
|  | const std::vector< ObjectiveVector > & | _set2 |
| ) |  |  | `[inline]`

Returns the entropy of the Pareto set '_set1' relatively to the Pareto set '_set2'.

Parameters:

  | _set1 | the first Pareto set
  | _set2 | the second Pareto set

Definition at line 34 of file moeoEntropyMetric.h.

References moeoEntropyMetric< ObjectiveVector >::computeUnion(), moeoEntropyMetric< ObjectiveVector >::howManyInNicheOf(), moeoEntropyMetric< ObjectiveVector >::normalize(), moeoEntropyMetric< ObjectiveVector >::prenormalize(), and moeoEntropyMetric< ObjectiveVector >::removeDominated().

template<class ObjectiveVector>

void moeoEntropyMetric< ObjectiveVector >::removeDominated | ( | std::vector< ObjectiveVector > & | _f | ) | `[inline, private]`

Removes the dominated individuals contained in _f.

Parameters:

  | _f | a Pareto set

Definition at line 85 of file moeoEntropyMetric.h.

References moeoEntropyMetric< ObjectiveVector >::paretoComparator.

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

template<class ObjectiveVector>

void moeoEntropyMetric< ObjectiveVector >::prenormalize | ( | const std::vector< ObjectiveVector > & | _f | ) | `[inline, private]`

Prenormalization.

Parameters:

  | _f | a Pareto set

Definition at line 107 of file moeoEntropyMetric.h.

References moeoEntropyMetric< ObjectiveVector >::vect_max_val, and moeoEntropyMetric< ObjectiveVector >::vect_min_val.

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

template<class ObjectiveVector>

void moeoEntropyMetric< ObjectiveVector >::normalize | ( | std::vector< ObjectiveVector > & | _f | ) | `[inline, private]`

Normalization.

Parameters:

  | _f | a Pareto set

Definition at line 129 of file moeoEntropyMetric.h.

References moeoEntropyMetric< ObjectiveVector >::vect_max_val, and moeoEntropyMetric< ObjectiveVector >::vect_min_val.

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

template<class ObjectiveVector>

void moeoEntropyMetric< ObjectiveVector >::computeUnion | ( | const std::vector< ObjectiveVector > & | _f1,
|  | const std::vector< ObjectiveVector > & | _f2,
|  | std::vector< ObjectiveVector > & | _f |
| ) |  |  | `[inline, private]`

Computation of the union of _f1 and _f2 in _f.

Parameters:

  | _f1 | the first Pareto set
  | _f2 | the second Pareto set
  | _f | the final Pareto set

Definition at line 142 of file moeoEntropyMetric.h.

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

The documentation for this class was generated from the following file:

- moeoEntropyMetric.h