ZZJ07_F10 Class Reference
multi-objective problem ZZJ07_F10 More...
#include <MultiObjectiveFunctions.h>
Public Member Functions | |
| ZZJ07_F10 (unsigned d=10) | |
| Constructor. | |
| ~ZZJ07_F10 () | |
| Destructor. | |
| unsigned int | objectives () const |
| return the number of objectives to optimize | |
| void | result (double *const &point, std::vector< double > &value) |
| bool | ProposeStartingPoint (double *&point) const |
| bool | utopianFitness (std::vector< double > &value) const |
| If possible, this method returns (a bound on) the best possible fitness. | |
| bool | nadirFitness (std::vector< double > &value) const |
| If possible, this method returns (a bound on) the worst possible fitness. | |
Detailed Description
multi-objective problem ZZJ07_F10Multi objective problem with quadratic Pareto Set shape. The ZZJ07_F10 problem is given by:
![\[ f_1(x) = x_1 \]](form_65.png)
![\[ f_{2}(x)=g(x)(1- \sqrt{\frac{x_1}{g(x)}}) \]](form_62.png)
where
![\[ g(x)=1+10(n-1) + \sum_{i=2}^{n} ((x_i^2 - x_1)^2- 10\cos(2\pi (x_i^2 - x_1))) \]](form_66.png)
![\[ x\in [0,1]\times [0,10]^{n-1} \]](form_64.png)
and usually 
Definition at line 1049 of file MultiObjectiveFunctions.h.
Constructor & Destructor Documentation
| ZZJ07_F10::ZZJ07_F10 | ( | unsigned | d = 10 |
) |
Constructor.
Definition at line 1703 of file MultiObjectiveFunctions.cpp.
References ObjectiveFunction::m_name.
| ZZJ07_F10::~ZZJ07_F10 | ( | ) |
Destructor.
Definition at line 1708 of file MultiObjectiveFunctions.cpp.
References ObjectiveFunctionT< T * >::constrainthandler.
Member Function Documentation
| bool ZZJ07_F10::nadirFitness | ( | std::vector< double > & | value | ) | const [virtual] |
If possible, this method returns (a bound on) the worst possible fitness.
For single objective optimization this information is rarely of any use, while for multi objective optimization a so-called nadir point is important for the computation of standard quality indicators like the hypervolume.
- Parameters:
-
fitness component wise worst fitness
- Returns:
- true if a nadir point is known, false otherwise
Reimplemented from ObjectiveFunctionVS< double >.
Definition at line 1754 of file MultiObjectiveFunctions.cpp.
References ObjectiveFunctionVS< double >::m_dimension.
| unsigned int ZZJ07_F10::objectives | ( | ) | const [virtual] |
return the number of objectives to optimize
Implements ObjectiveFunction.
Definition at line 1715 of file MultiObjectiveFunctions.cpp.
| bool ZZJ07_F10::ProposeStartingPoint | ( | double *& | point | ) | const |
Definition at line 1739 of file MultiObjectiveFunctions.cpp.
References ObjectiveFunctionVS< double >::m_dimension.
| void ZZJ07_F10::result | ( | double *const & | point, | |
| std::vector< double > & | value | |||
| ) |
Definition at line 1720 of file MultiObjectiveFunctions.cpp.
References ObjectiveFunctionVS< double >::m_dimension, and ObjectiveFunction::m_timesCalled.
| bool ZZJ07_F10::utopianFitness | ( | std::vector< double > & | value | ) | const [virtual] |
If possible, this method returns (a bound on) the best possible fitness.
For the single objective case the function should return the fitness in the global optimum. For the multi objective case this function should return a utopian point.
- Parameters:
-
fitness component wise utopian fitness
- Returns:
- true if an utopian point is known, false otherwise
Reimplemented from ObjectiveFunctionVS< double >.
Definition at line 1749 of file MultiObjectiveFunctions.cpp.
The documentation for this class was generated from the following files: