f58813fd6e
git-svn-id: svn://scm.gforge.inria.fr/svnroot/paradiseo@558 331e1502-861f-0410-8da2-ba01fb791d7f
108 lines
6.7 KiB
TeX
108 lines
6.7 KiB
TeX
\section{moeo\-Hypervolume\-Binary\-Metric$<$ Objective\-Vector $>$ Class Template Reference}
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\label{classmoeoHypervolumeBinaryMetric}\index{moeoHypervolumeBinaryMetric@{moeoHypervolumeBinaryMetric}}
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Hypervolume binary metric allowing to compare two objective vectors as proposed in Zitzler E., K\~{A}¼nzli S.
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{\tt \#include $<$moeo\-Hypervolume\-Binary\-Metric.h$>$}
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Inheritance diagram for moeo\-Hypervolume\-Binary\-Metric$<$ Objective\-Vector $>$::\begin{figure}[H]
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\begin{center}
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\leavevmode
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\includegraphics[height=3.70044cm]{classmoeoHypervolumeBinaryMetric}
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\end{center}
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\end{figure}
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\subsection*{Public Member Functions}
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\begin{CompactItemize}
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\item
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\bf{moeo\-Hypervolume\-Binary\-Metric} (double \_\-rho=1.1)
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\begin{CompactList}\small\item\em Ctor. \item\end{CompactList}\item
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double \bf{operator()} (const Objective\-Vector \&\_\-o1, const Objective\-Vector \&\_\-o2)
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\begin{CompactList}\small\item\em Returns the volume of the space that is dominated by \_\-o2 but not by \_\-o1 with respect to a reference point computed using rho. \item\end{CompactList}\end{CompactItemize}
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\subsection*{Private Member Functions}
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\begin{CompactItemize}
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\item
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double \bf{hypervolume} (const Objective\-Vector \&\_\-o1, const Objective\-Vector \&\_\-o2, const unsigned int \_\-obj, const bool \_\-flag=false)
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\begin{CompactList}\small\item\em 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. \item\end{CompactList}\end{CompactItemize}
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\subsection*{Private Attributes}
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\begin{CompactItemize}
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\item
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double \bf{rho}\label{classmoeoHypervolumeBinaryMetric_2498b6010719249121e3a371978d927b}
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\begin{CompactList}\small\item\em value used to compute the reference point from the worst values for each objective \item\end{CompactList}\item
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\bf{moeo\-Pareto\-Objective\-Vector\-Comparator}$<$ Objective\-Vector $>$ \bf{pareto\-Comparator}\label{classmoeoHypervolumeBinaryMetric_2bbeb34a5bfde25b9eadc7eca899906e}
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\begin{CompactList}\small\item\em Functor to compare two objective vectors according to Pareto dominance relation. \item\end{CompactList}\end{CompactItemize}
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\subsection{Detailed Description}
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\subsubsection*{template$<$class Objective\-Vector$>$ class moeo\-Hypervolume\-Binary\-Metric$<$ Objective\-Vector $>$}
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Hypervolume binary metric allowing to compare two objective vectors as proposed in Zitzler E., K\~{A}¼nzli S.
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: 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\^{a}€“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).
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Definition at line 29 of file moeo\-Hypervolume\-Binary\-Metric.h.
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\subsection{Constructor \& Destructor Documentation}
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\index{moeoHypervolumeBinaryMetric@{moeo\-Hypervolume\-Binary\-Metric}!moeoHypervolumeBinaryMetric@{moeoHypervolumeBinaryMetric}}
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\index{moeoHypervolumeBinaryMetric@{moeoHypervolumeBinaryMetric}!moeoHypervolumeBinaryMetric@{moeo\-Hypervolume\-Binary\-Metric}}
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\subsubsection{\setlength{\rightskip}{0pt plus 5cm}template$<$class Objective\-Vector$>$ \bf{moeo\-Hypervolume\-Binary\-Metric}$<$ Objective\-Vector $>$::\bf{moeo\-Hypervolume\-Binary\-Metric} (double {\em \_\-rho} = {\tt 1.1})\hspace{0.3cm}{\tt [inline]}}\label{classmoeoHypervolumeBinaryMetric_01a07711a7c9f38cdc2c76e40a3c5958}
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Ctor.
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\begin{Desc}
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\item[Parameters:]
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\begin{description}
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\item[{\em \_\-rho}]value used to compute the reference point from the worst values for each objective (default : 1.1) \end{description}
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\end{Desc}
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Definition at line 37 of file moeo\-Hypervolume\-Binary\-Metric.h.
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References moeo\-Hypervolume\-Binary\-Metric$<$ Objective\-Vector $>$::rho.
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\subsection{Member Function Documentation}
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\index{moeoHypervolumeBinaryMetric@{moeo\-Hypervolume\-Binary\-Metric}!operator()@{operator()}}
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\index{operator()@{operator()}!moeoHypervolumeBinaryMetric@{moeo\-Hypervolume\-Binary\-Metric}}
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\subsubsection{\setlength{\rightskip}{0pt plus 5cm}template$<$class Objective\-Vector$>$ double \bf{moeo\-Hypervolume\-Binary\-Metric}$<$ Objective\-Vector $>$::operator() (const Objective\-Vector \& {\em \_\-o1}, const Objective\-Vector \& {\em \_\-o2})\hspace{0.3cm}{\tt [inline]}}\label{classmoeoHypervolumeBinaryMetric_c147309a5ba6b365be926e6083c5b9f2}
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Returns the volume of the space that is dominated by \_\-o2 but not by \_\-o1 with respect to a reference point computed using rho.
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\begin{Desc}
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\item[Warning:]don't forget to set the bounds for every objective before the call of this function \end{Desc}
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\begin{Desc}
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\item[Parameters:]
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\begin{description}
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\item[{\em \_\-o1}]the first objective vector \item[{\em \_\-o2}]the second objective vector \end{description}
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\end{Desc}
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Definition at line 63 of file moeo\-Hypervolume\-Binary\-Metric.h.
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References moeo\-Hypervolume\-Binary\-Metric$<$ Objective\-Vector $>$::hypervolume(), and moeo\-Hypervolume\-Binary\-Metric$<$ Objective\-Vector $>$::pareto\-Comparator.\index{moeoHypervolumeBinaryMetric@{moeo\-Hypervolume\-Binary\-Metric}!hypervolume@{hypervolume}}
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\index{hypervolume@{hypervolume}!moeoHypervolumeBinaryMetric@{moeo\-Hypervolume\-Binary\-Metric}}
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\subsubsection{\setlength{\rightskip}{0pt plus 5cm}template$<$class Objective\-Vector$>$ double \bf{moeo\-Hypervolume\-Binary\-Metric}$<$ Objective\-Vector $>$::hypervolume (const Objective\-Vector \& {\em \_\-o1}, const Objective\-Vector \& {\em \_\-o2}, const unsigned int {\em \_\-obj}, const bool {\em \_\-flag} = {\tt false})\hspace{0.3cm}{\tt [inline, private]}}\label{classmoeoHypervolumeBinaryMetric_e841d13001c63b043981a41fcb49218a}
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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.
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\begin{Desc}
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\item[Parameters:]
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\begin{description}
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\item[{\em \_\-o1}]the first objective vector \item[{\em \_\-o2}]the second objective vector \item[{\em \_\-obj}]the objective index \item[{\em \_\-flag}]used for iteration, if \_\-flag=true \_\-o2 is not talen into account (default : false) \end{description}
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\end{Desc}
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Definition at line 96 of file moeo\-Hypervolume\-Binary\-Metric.h.
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References moeo\-Normalized\-Solution\-Vs\-Solution\-Binary\-Metric$<$ Objective\-Vector, double $>$::bounds, and moeo\-Hypervolume\-Binary\-Metric$<$ Objective\-Vector $>$::rho.
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Referenced by moeo\-Hypervolume\-Binary\-Metric$<$ Objective\-Vector $>$::operator()().
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The documentation for this class was generated from the following file:\begin{CompactItemize}
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\item
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moeo\-Hypervolume\-Binary\-Metric.h\end{CompactItemize}
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