\hypertarget{classmoeo_hypervolume_binary_metric}{}\doxysection{moeo\+Hypervolume\+Binary\+Metric$<$ Objective\+Vector $>$ Class Template Reference}
\label{classmoeo_hypervolume_binary_metric}\index{moeoHypervolumeBinaryMetric$<$ ObjectiveVector $>$@{moeoHypervolumeBinaryMetric$<$ ObjectiveVector $>$}}


{\ttfamily \#include $<$moeo\+Hypervolume\+Binary\+Metric.\+h$>$}



Inheritance diagram for moeo\+Hypervolume\+Binary\+Metric$<$ Objective\+Vector $>$\+:
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Collaboration diagram for moeo\+Hypervolume\+Binary\+Metric$<$ Objective\+Vector $>$\+:
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\begin{center}
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\doxysubsection*{Public Member Functions}
\begin{DoxyCompactItemize}
\item 
\mbox{\hyperlink{classmoeo_hypervolume_binary_metric_a01a07711a7c9f38cdc2c76e40a3c5958}{moeo\+Hypervolume\+Binary\+Metric}} (double \+\_\+rho=1.\+1)
\item 
double \mbox{\hyperlink{classmoeo_hypervolume_binary_metric_ac147309a5ba6b365be926e6083c5b9f2}{operator()}} (const \mbox{\hyperlink{classmoeo_real_objective_vector}{Objective\+Vector}} \&\+\_\+o1, const \mbox{\hyperlink{classmoeo_real_objective_vector}{Objective\+Vector}} \&\+\_\+o2)
\end{DoxyCompactItemize}
\doxysubsection*{Additional Inherited Members}


\doxysubsection{Detailed Description}
\subsubsection*{template$<$class Objective\+Vector$>$\newline
class moeo\+Hypervolume\+Binary\+Metric$<$ Objective\+Vector $>$}

Hypervolume binary metric allowing to compare two objective vectors as proposed in Zitzler E., Künzli S.\+: Indicator-\/\+Based Selection in Multiobjective Search. In Parallel \mbox{\hyperlink{class_problem}{Problem}} Solving from Nature (P\+P\+SN V\+I\+II). 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 \mbox{\hyperlink{class_problem}{Problem}} Solving from Nature (P\+P\+S\+N-\/V), pp.\+292-\/301 (1998).

This code is adapted from the P\+I\+SA implementation of I\+B\+EA (\href{http://www.tik.ee.ethz.ch/sop/pisa/}{\texttt{ http\+://www.\+tik.\+ee.\+ethz.\+ch/sop/pisa/}}) 

\doxysubsection{Constructor \& Destructor Documentation}
\mbox{\Hypertarget{classmoeo_hypervolume_binary_metric_a01a07711a7c9f38cdc2c76e40a3c5958}\label{classmoeo_hypervolume_binary_metric_a01a07711a7c9f38cdc2c76e40a3c5958}} 
\index{moeoHypervolumeBinaryMetric$<$ ObjectiveVector $>$@{moeoHypervolumeBinaryMetric$<$ ObjectiveVector $>$}!moeoHypervolumeBinaryMetric@{moeoHypervolumeBinaryMetric}}
\index{moeoHypervolumeBinaryMetric@{moeoHypervolumeBinaryMetric}!moeoHypervolumeBinaryMetric$<$ ObjectiveVector $>$@{moeoHypervolumeBinaryMetric$<$ ObjectiveVector $>$}}
\doxysubsubsection{\texorpdfstring{moeoHypervolumeBinaryMetric()}{moeoHypervolumeBinaryMetric()}}
{\footnotesize\ttfamily template$<$class Objective\+Vector $>$ \\
\mbox{\hyperlink{classmoeo_hypervolume_binary_metric}{moeo\+Hypervolume\+Binary\+Metric}}$<$ \mbox{\hyperlink{classmoeo_real_objective_vector}{Objective\+Vector}} $>$\+::\mbox{\hyperlink{classmoeo_hypervolume_binary_metric}{moeo\+Hypervolume\+Binary\+Metric}} (\begin{DoxyParamCaption}\item[{double}]{\+\_\+rho = {\ttfamily 1.1} }\end{DoxyParamCaption})\hspace{0.3cm}{\ttfamily [inline]}}

Ctor 
\begin{DoxyParams}{Parameters}
{\em \+\_\+rho} & value used to compute the reference point from the worst values for each objective (default \+: 1.\+1) \\
\hline
\end{DoxyParams}


\doxysubsection{Member Function Documentation}
\mbox{\Hypertarget{classmoeo_hypervolume_binary_metric_ac147309a5ba6b365be926e6083c5b9f2}\label{classmoeo_hypervolume_binary_metric_ac147309a5ba6b365be926e6083c5b9f2}} 
\index{moeoHypervolumeBinaryMetric$<$ ObjectiveVector $>$@{moeoHypervolumeBinaryMetric$<$ ObjectiveVector $>$}!operator()@{operator()}}
\index{operator()@{operator()}!moeoHypervolumeBinaryMetric$<$ ObjectiveVector $>$@{moeoHypervolumeBinaryMetric$<$ ObjectiveVector $>$}}
\doxysubsubsection{\texorpdfstring{operator()()}{operator()()}}
{\footnotesize\ttfamily template$<$class Objective\+Vector $>$ \\
double \mbox{\hyperlink{classmoeo_hypervolume_binary_metric}{moeo\+Hypervolume\+Binary\+Metric}}$<$ \mbox{\hyperlink{classmoeo_real_objective_vector}{Objective\+Vector}} $>$\+::operator() (\begin{DoxyParamCaption}\item[{const \mbox{\hyperlink{classmoeo_real_objective_vector}{Objective\+Vector}} \&}]{\+\_\+o1,  }\item[{const \mbox{\hyperlink{classmoeo_real_objective_vector}{Objective\+Vector}} \&}]{\+\_\+o2 }\end{DoxyParamCaption})\hspace{0.3cm}{\ttfamily [inline]}, {\ttfamily [virtual]}}

Returns the volume of the space that is dominated by \+\_\+o2 but not by \+\_\+o1 with respect to a reference point computed using rho. \begin{DoxyWarning}{Warning}
don\textquotesingle{}t forget to set the bounds for every objective before the call of this function 
\end{DoxyWarning}

\begin{DoxyParams}{Parameters}
{\em \+\_\+o1} & the first objective vector \\
\hline
{\em \+\_\+o2} & the second objective vector \\
\hline
\end{DoxyParams}


Implements \mbox{\hyperlink{classeo_b_f_aa03c40b95210569b826df79a2237a0d0}{eo\+B\+F$<$ const Objective\+Vector \&, const Objective\+Vector \&, double $>$}}.



The documentation for this class was generated from the following file\+:\begin{DoxyCompactItemize}
\item 
moeo/src/metric/moeo\+Hypervolume\+Binary\+Metric.\+h\end{DoxyCompactItemize}
