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<title>ParadisEO-MOEO: moeoFastNonDominatedSortingFitnessAssignment< MOEOT > Class Template Reference</title>
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<h1>moeoFastNonDominatedSortingFitnessAssignment< MOEOT > Class Template Reference</h1><!-- doxytag: class="moeoFastNonDominatedSortingFitnessAssignment" --><!-- doxytag: inherits="moeoParetoBasedFitnessAssignment" -->Fitness assignment sheme based on Pareto-dominance count proposed in: N.
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<a href="#_details">More...</a>
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<p>
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<code>#include <<a class="el" href="moeoFastNonDominatedSortingFitnessAssignment_8h-source.html">moeoFastNonDominatedSortingFitnessAssignment.h</a>></code>
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<p>
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<p>Inheritance diagram for moeoFastNonDominatedSortingFitnessAssignment< MOEOT >:
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<p><center><img src="classmoeoFastNonDominatedSortingFitnessAssignment.png" usemap="#moeoFastNonDominatedSortingFitnessAssignment< MOEOT >_map" border="0" alt=""></center>
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<map name="moeoFastNonDominatedSortingFitnessAssignment< MOEOT >_map">
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<area href="classmoeoParetoBasedFitnessAssignment.html" alt="moeoParetoBasedFitnessAssignment< MOEOT >" shape="rect" coords="0,168,362,192">
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<area href="classmoeoFitnessAssignment.html" alt="moeoFitnessAssignment< MOEOT >" shape="rect" coords="0,112,362,136">
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<area doxygen="eo.doxytag:../../../paradiseo-eo/doc/html/" href="../../../paradiseo-eo/doc/html/classeo_u_f.html" alt="eoUF< eoPop< MOEOT > &, void >" shape="rect" coords="0,56,362,80">
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<area doxygen="eo.doxytag:../../../paradiseo-eo/doc/html/" href="../../../paradiseo-eo/doc/html/classeo_functor_base.html" alt="eoFunctorBase" shape="rect" coords="0,0,362,24">
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</map>
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<a href="classmoeoFastNonDominatedSortingFitnessAssignment-members.html">List of all members.</a><table border="0" cellpadding="0" cellspacing="0">
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<tr><td></td></tr>
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<tr><td colspan="2"><br><h2>Public Types</h2></td></tr>
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<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="7bca09c8cf084700172a6e0dfcf6c381"></a><!-- doxytag: member="moeoFastNonDominatedSortingFitnessAssignment::ObjectiveVector" ref="7bca09c8cf084700172a6e0dfcf6c381" args="" -->
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typedef MOEOT::ObjectiveVector </td><td class="memItemRight" valign="bottom"><a class="el" href="classmoeoFastNonDominatedSortingFitnessAssignment.html#7bca09c8cf084700172a6e0dfcf6c381">ObjectiveVector</a></td></tr>
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<tr><td class="mdescLeft"> </td><td class="mdescRight">the objective vector type of the solutions <br></td></tr>
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<tr><td colspan="2"><br><h2>Public Member Functions</h2></td></tr>
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<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="d02bd6ca60399f6171c08fa42f131644"></a><!-- doxytag: member="moeoFastNonDominatedSortingFitnessAssignment::moeoFastNonDominatedSortingFitnessAssignment" ref="d02bd6ca60399f6171c08fa42f131644" args="()" -->
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</td><td class="memItemRight" valign="bottom"><a class="el" href="classmoeoFastNonDominatedSortingFitnessAssignment.html#d02bd6ca60399f6171c08fa42f131644">moeoFastNonDominatedSortingFitnessAssignment</a> ()</td></tr>
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<tr><td class="mdescLeft"> </td><td class="mdescRight">Default ctor. <br></td></tr>
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<tr><td class="memItemLeft" nowrap align="right" valign="top"> </td><td class="memItemRight" valign="bottom"><a class="el" href="classmoeoFastNonDominatedSortingFitnessAssignment.html#6843abccb77386a06016063f42c63f75">moeoFastNonDominatedSortingFitnessAssignment</a> (<a class="el" href="classmoeoObjectiveVectorComparator.html">moeoObjectiveVectorComparator</a>< <a class="el" href="classmoeoFastNonDominatedSortingFitnessAssignment.html#7bca09c8cf084700172a6e0dfcf6c381">ObjectiveVector</a> > &_comparator)</td></tr>
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<tr><td class="mdescLeft"> </td><td class="mdescRight">Ctor where you can choose your own way to compare objective vectors. <a href="#6843abccb77386a06016063f42c63f75"></a><br></td></tr>
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<tr><td class="memItemLeft" nowrap align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="classmoeoFastNonDominatedSortingFitnessAssignment.html#4d75a10be83e50e4d3827c32b74f9d7d">operator()</a> (<a class="elRef" doxygen="eo.doxytag:../../../paradiseo-eo/doc/html/" href="../../../paradiseo-eo/doc/html/classeo_pop.html">eoPop</a>< MOEOT > &_pop)</td></tr>
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<tr><td class="mdescLeft"> </td><td class="mdescRight">Sets the fitness values for every solution contained in the population _pop. <a href="#4d75a10be83e50e4d3827c32b74f9d7d"></a><br></td></tr>
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<tr><td class="memItemLeft" nowrap align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="classmoeoFastNonDominatedSortingFitnessAssignment.html#8d16de444f6c7a73c28c9087b652656e">updateByDeleting</a> (<a class="elRef" doxygen="eo.doxytag:../../../paradiseo-eo/doc/html/" href="../../../paradiseo-eo/doc/html/classeo_pop.html">eoPop</a>< MOEOT > &_pop, <a class="el" href="classmoeoFastNonDominatedSortingFitnessAssignment.html#7bca09c8cf084700172a6e0dfcf6c381">ObjectiveVector</a> &_objVec)</td></tr>
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<tr><td class="mdescLeft"> </td><td class="mdescRight"><dl class="warning" compact><dt><b>Warning:</b></dt><dd>NOT IMPLEMENTED, DO NOTHING ! Updates the fitness values of the whole population _pop by taking the deletion of the objective vector _objVec into account. </dd></dl>
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<a href="#8d16de444f6c7a73c28c9087b652656e"></a><br></td></tr>
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<tr><td colspan="2"><br><h2>Private Member Functions</h2></td></tr>
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<tr><td class="memItemLeft" nowrap align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="classmoeoFastNonDominatedSortingFitnessAssignment.html#f69d3a918dbbe8d7e9ef5abc50fbf17b">oneObjective</a> (<a class="elRef" doxygen="eo.doxytag:../../../paradiseo-eo/doc/html/" href="../../../paradiseo-eo/doc/html/classeo_pop.html">eoPop</a>< MOEOT > &_pop)</td></tr>
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<tr><td class="mdescLeft"> </td><td class="mdescRight">Sets the fitness values for mono-objective problems. <a href="#f69d3a918dbbe8d7e9ef5abc50fbf17b"></a><br></td></tr>
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<tr><td class="memItemLeft" nowrap align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="classmoeoFastNonDominatedSortingFitnessAssignment.html#ac0337fe41c4d565c5a81de38398a9e9">twoObjectives</a> (<a class="elRef" doxygen="eo.doxytag:../../../paradiseo-eo/doc/html/" href="../../../paradiseo-eo/doc/html/classeo_pop.html">eoPop</a>< MOEOT > &_pop)</td></tr>
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<tr><td class="mdescLeft"> </td><td class="mdescRight">Sets the fitness values for bi-objective problems with a complexity of O(n log n), where n stands for the population size. <a href="#ac0337fe41c4d565c5a81de38398a9e9"></a><br></td></tr>
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<tr><td class="memItemLeft" nowrap align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="classmoeoFastNonDominatedSortingFitnessAssignment.html#f28ad92fe565e13b8d38a3beb30e1e29">mObjectives</a> (<a class="elRef" doxygen="eo.doxytag:../../../paradiseo-eo/doc/html/" href="../../../paradiseo-eo/doc/html/classeo_pop.html">eoPop</a>< MOEOT > &_pop)</td></tr>
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<tr><td class="mdescLeft"> </td><td class="mdescRight">Sets the fitness values for problems with more than two objectives with a complexity of O(n² log n), where n stands for the population size. <a href="#f28ad92fe565e13b8d38a3beb30e1e29"></a><br></td></tr>
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<tr><td colspan="2"><br><h2>Private Attributes</h2></td></tr>
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<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="cc2269f00944e308e53004cc3a68855b"></a><!-- doxytag: member="moeoFastNonDominatedSortingFitnessAssignment::comparator" ref="cc2269f00944e308e53004cc3a68855b" args="" -->
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<a class="el" href="classmoeoObjectiveVectorComparator.html">moeoObjectiveVectorComparator</a><<br>
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<a class="el" href="classmoeoFastNonDominatedSortingFitnessAssignment.html#7bca09c8cf084700172a6e0dfcf6c381">ObjectiveVector</a> > & </td><td class="memItemRight" valign="bottom"><a class="el" href="classmoeoFastNonDominatedSortingFitnessAssignment.html#cc2269f00944e308e53004cc3a68855b">comparator</a></td></tr>
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<tr><td class="mdescLeft"> </td><td class="mdescRight">Functor to compare two objective vectors. <br></td></tr>
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<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="c91bade0a1aa1200d0245f7c13fb74fc"></a><!-- doxytag: member="moeoFastNonDominatedSortingFitnessAssignment::paretoComparator" ref="c91bade0a1aa1200d0245f7c13fb74fc" args="" -->
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<a class="el" href="classmoeoParetoObjectiveVectorComparator.html">moeoParetoObjectiveVectorComparator</a><<br>
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<a class="el" href="classmoeoFastNonDominatedSortingFitnessAssignment.html#7bca09c8cf084700172a6e0dfcf6c381">ObjectiveVector</a> > </td><td class="memItemRight" valign="bottom"><a class="el" href="classmoeoFastNonDominatedSortingFitnessAssignment.html#c91bade0a1aa1200d0245f7c13fb74fc">paretoComparator</a></td></tr>
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<tr><td class="mdescLeft"> </td><td class="mdescRight">Functor to compare two objective vectors according to Pareto dominance relation. <br></td></tr>
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</table>
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<hr><a name="_details"></a><h2>Detailed Description</h2>
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<h3>template<class MOEOT><br>
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class moeoFastNonDominatedSortingFitnessAssignment< MOEOT ></h3>
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Fitness assignment sheme based on Pareto-dominance count proposed in: N.
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<p>
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Srinivas, K. Deb, "Multiobjective Optimization Using Nondominated Sorting in Genetic Algorithms", Evolutionary Computation vol. 2, no. 3, pp. 221-248 (1994) and in: K. Deb, A. Pratap, S. Agarwal, T. Meyarivan, "A Fast and Elitist Multi-Objective Genetic Algorithm: NSGA-II", IEEE Transactions on Evolutionary Computation, vol. 6, no. 2 (2002). This strategy is, for instance, used in NSGA and NSGA-II.
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<p>
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<p>
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Definition at line <a class="el" href="moeoFastNonDominatedSortingFitnessAssignment_8h-source.html#l00029">29</a> of file <a class="el" href="moeoFastNonDominatedSortingFitnessAssignment_8h-source.html">moeoFastNonDominatedSortingFitnessAssignment.h</a>.<hr><h2>Constructor & Destructor Documentation</h2>
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<a class="anchor" name="6843abccb77386a06016063f42c63f75"></a><!-- doxytag: member="moeoFastNonDominatedSortingFitnessAssignment::moeoFastNonDominatedSortingFitnessAssignment" ref="6843abccb77386a06016063f42c63f75" args="(moeoObjectiveVectorComparator< ObjectiveVector > &_comparator)" -->
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<div class="memproto">
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<div class="memtemplate">
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template<class MOEOT> </div>
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<tr>
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<td class="memname"><a class="el" href="classmoeoFastNonDominatedSortingFitnessAssignment.html">moeoFastNonDominatedSortingFitnessAssignment</a>< MOEOT >::<a class="el" href="classmoeoFastNonDominatedSortingFitnessAssignment.html">moeoFastNonDominatedSortingFitnessAssignment</a> </td>
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<td>(</td>
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<td class="paramtype"><a class="el" href="classmoeoObjectiveVectorComparator.html">moeoObjectiveVectorComparator</a>< <a class="el" href="classmoeoFastNonDominatedSortingFitnessAssignment.html#7bca09c8cf084700172a6e0dfcf6c381">ObjectiveVector</a> > & </td>
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<td class="paramname"> <em>_comparator</em> </td>
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<td> ) </td>
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<td width="100%"><code> [inline]</code></td>
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</tr>
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</table>
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<div class="memdoc">
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<p>
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Ctor where you can choose your own way to compare objective vectors.
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<p>
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<dl compact><dt><b>Parameters:</b></dt><dd>
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<table border="0" cellspacing="2" cellpadding="0">
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<tr><td valign="top"></td><td valign="top"><em>_comparator</em> </td><td>the functor used to compare objective vectors </td></tr>
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</table>
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</dl>
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<p>
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Definition at line <a class="el" href="moeoFastNonDominatedSortingFitnessAssignment_8h-source.html#l00048">48</a> of file <a class="el" href="moeoFastNonDominatedSortingFitnessAssignment_8h-source.html">moeoFastNonDominatedSortingFitnessAssignment.h</a>.
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</div>
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</div><p>
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<hr><h2>Member Function Documentation</h2>
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<a class="anchor" name="4d75a10be83e50e4d3827c32b74f9d7d"></a><!-- doxytag: member="moeoFastNonDominatedSortingFitnessAssignment::operator()" ref="4d75a10be83e50e4d3827c32b74f9d7d" args="(eoPop< MOEOT > &_pop)" -->
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template<class MOEOT> </div>
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<td class="memname">void <a class="el" href="classmoeoFastNonDominatedSortingFitnessAssignment.html">moeoFastNonDominatedSortingFitnessAssignment</a>< MOEOT >::operator() </td>
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<td>(</td>
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<td class="paramtype"><a class="elRef" doxygen="eo.doxytag:../../../paradiseo-eo/doc/html/" href="../../../paradiseo-eo/doc/html/classeo_pop.html">eoPop</a>< MOEOT > & </td>
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<td class="paramname"> <em>_pop</em> </td>
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<td> ) </td>
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<td width="100%"><code> [inline, virtual]</code></td>
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</table>
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<div class="memdoc">
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<p>
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Sets the fitness values for every solution contained in the population _pop.
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<p>
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<dl compact><dt><b>Parameters:</b></dt><dd>
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<table border="0" cellspacing="2" cellpadding="0">
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<tr><td valign="top"></td><td valign="top"><em>_pop</em> </td><td>the population </td></tr>
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</table>
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</dl>
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<p>
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Implements <a class="elRef" doxygen="eo.doxytag:../../../paradiseo-eo/doc/html/" href="../../../paradiseo-eo/doc/html/classeo_u_f.html#a1">eoUF< eoPop< MOEOT > &, void ></a>.
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<p>
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Definition at line <a class="el" href="moeoFastNonDominatedSortingFitnessAssignment_8h-source.html#l00056">56</a> of file <a class="el" href="moeoFastNonDominatedSortingFitnessAssignment_8h-source.html">moeoFastNonDominatedSortingFitnessAssignment.h</a>.
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<p>
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References <a class="el" href="moeoFastNonDominatedSortingFitnessAssignment_8h-source.html#l00146">moeoFastNonDominatedSortingFitnessAssignment< MOEOT >::mObjectives()</a>, and <a class="el" href="moeoFastNonDominatedSortingFitnessAssignment_8h-source.html#l00120">moeoFastNonDominatedSortingFitnessAssignment< MOEOT >::oneObjective()</a>.
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</div>
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</div><p>
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<a class="anchor" name="8d16de444f6c7a73c28c9087b652656e"></a><!-- doxytag: member="moeoFastNonDominatedSortingFitnessAssignment::updateByDeleting" ref="8d16de444f6c7a73c28c9087b652656e" args="(eoPop< MOEOT > &_pop, ObjectiveVector &_objVec)" -->
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template<class MOEOT> </div>
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<td class="memname">void <a class="el" href="classmoeoFastNonDominatedSortingFitnessAssignment.html">moeoFastNonDominatedSortingFitnessAssignment</a>< MOEOT >::updateByDeleting </td>
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<td>(</td>
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<td class="paramtype"><a class="elRef" doxygen="eo.doxytag:../../../paradiseo-eo/doc/html/" href="../../../paradiseo-eo/doc/html/classeo_pop.html">eoPop</a>< MOEOT > & </td>
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<td class="paramname"> <em>_pop</em>, </td>
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<td class="paramkey"></td>
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<td></td>
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<td class="paramtype"><a class="el" href="classmoeoFastNonDominatedSortingFitnessAssignment.html#7bca09c8cf084700172a6e0dfcf6c381">ObjectiveVector</a> & </td>
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<td class="paramname"> <em>_objVec</em></td><td> </td>
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<tr>
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<td></td>
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<td>)</td>
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<td></td><td></td><td width="100%"><code> [inline, virtual]</code></td>
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<p>
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<dl class="warning" compact><dt><b>Warning:</b></dt><dd>NOT IMPLEMENTED, DO NOTHING ! Updates the fitness values of the whole population _pop by taking the deletion of the objective vector _objVec into account. </dd></dl>
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<p>
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<dl compact><dt><b>Parameters:</b></dt><dd>
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<table border="0" cellspacing="2" cellpadding="0">
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<tr><td valign="top"></td><td valign="top"><em>_pop</em> </td><td>the population </td></tr>
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<tr><td valign="top"></td><td valign="top"><em>_objVec</em> </td><td>the objective vector </td></tr>
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</table>
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</dl>
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<dl class="warning" compact><dt><b>Warning:</b></dt><dd>NOT IMPLEMENTED, DO NOTHING ! </dd></dl>
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<p>
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Implements <a class="el" href="classmoeoFitnessAssignment.html#4922629569eddc9be049b3ead1ab0269">moeoFitnessAssignment< MOEOT ></a>.
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<p>
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Definition at line <a class="el" href="moeoFastNonDominatedSortingFitnessAssignment_8h-source.html#l00100">100</a> of file <a class="el" href="moeoFastNonDominatedSortingFitnessAssignment_8h-source.html">moeoFastNonDominatedSortingFitnessAssignment.h</a>.
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</div><p>
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<a class="anchor" name="f69d3a918dbbe8d7e9ef5abc50fbf17b"></a><!-- doxytag: member="moeoFastNonDominatedSortingFitnessAssignment::oneObjective" ref="f69d3a918dbbe8d7e9ef5abc50fbf17b" args="(eoPop< MOEOT > &_pop)" -->
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template<class MOEOT> </div>
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<td class="memname">void <a class="el" href="classmoeoFastNonDominatedSortingFitnessAssignment.html">moeoFastNonDominatedSortingFitnessAssignment</a>< MOEOT >::oneObjective </td>
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<td>(</td>
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<td class="paramtype"><a class="elRef" doxygen="eo.doxytag:../../../paradiseo-eo/doc/html/" href="../../../paradiseo-eo/doc/html/classeo_pop.html">eoPop</a>< MOEOT > & </td>
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<td class="paramname"> <em>_pop</em> </td>
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<td> ) </td>
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<td width="100%"><code> [inline, private]</code></td>
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<div class="memdoc">
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<p>
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Sets the fitness values for mono-objective problems.
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<p>
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<dl compact><dt><b>Parameters:</b></dt><dd>
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<table border="0" cellspacing="2" cellpadding="0">
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<tr><td valign="top"></td><td valign="top"><em>_pop</em> </td><td>the population </td></tr>
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</table>
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</dl>
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<p>
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Definition at line <a class="el" href="moeoFastNonDominatedSortingFitnessAssignment_8h-source.html#l00120">120</a> of file <a class="el" href="moeoFastNonDominatedSortingFitnessAssignment_8h-source.html">moeoFastNonDominatedSortingFitnessAssignment.h</a>.
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<p>
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Referenced by <a class="el" href="moeoFastNonDominatedSortingFitnessAssignment_8h-source.html#l00056">moeoFastNonDominatedSortingFitnessAssignment< MOEOT >::operator()()</a>.
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</div>
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</div><p>
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<a class="anchor" name="ac0337fe41c4d565c5a81de38398a9e9"></a><!-- doxytag: member="moeoFastNonDominatedSortingFitnessAssignment::twoObjectives" ref="ac0337fe41c4d565c5a81de38398a9e9" args="(eoPop< MOEOT > &_pop)" -->
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<div class="memitem">
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<div class="memproto">
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<div class="memtemplate">
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template<class MOEOT> </div>
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<table class="memname">
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<tr>
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<td class="memname">void <a class="el" href="classmoeoFastNonDominatedSortingFitnessAssignment.html">moeoFastNonDominatedSortingFitnessAssignment</a>< MOEOT >::twoObjectives </td>
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<td>(</td>
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<td class="paramtype"><a class="elRef" doxygen="eo.doxytag:../../../paradiseo-eo/doc/html/" href="../../../paradiseo-eo/doc/html/classeo_pop.html">eoPop</a>< MOEOT > & </td>
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<td class="paramname"> <em>_pop</em> </td>
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<td> ) </td>
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<td width="100%"><code> [inline, private]</code></td>
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</tr>
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</table>
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</div>
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<div class="memdoc">
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<p>
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Sets the fitness values for bi-objective problems with a complexity of O(n log n), where n stands for the population size.
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<p>
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<dl compact><dt><b>Parameters:</b></dt><dd>
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<table border="0" cellspacing="2" cellpadding="0">
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<tr><td valign="top"></td><td valign="top"><em>_pop</em> </td><td>the population </td></tr>
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</table>
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</dl>
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<p>
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Definition at line <a class="el" href="moeoFastNonDominatedSortingFitnessAssignment_8h-source.html#l00136">136</a> of file <a class="el" href="moeoFastNonDominatedSortingFitnessAssignment_8h-source.html">moeoFastNonDominatedSortingFitnessAssignment.h</a>.
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</div>
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</div><p>
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<a class="anchor" name="f28ad92fe565e13b8d38a3beb30e1e29"></a><!-- doxytag: member="moeoFastNonDominatedSortingFitnessAssignment::mObjectives" ref="f28ad92fe565e13b8d38a3beb30e1e29" args="(eoPop< MOEOT > &_pop)" -->
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<div class="memitem">
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<div class="memproto">
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<div class="memtemplate">
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template<class MOEOT> </div>
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<table class="memname">
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<tr>
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<td class="memname">void <a class="el" href="classmoeoFastNonDominatedSortingFitnessAssignment.html">moeoFastNonDominatedSortingFitnessAssignment</a>< MOEOT >::mObjectives </td>
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<td>(</td>
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<td class="paramtype"><a class="elRef" doxygen="eo.doxytag:../../../paradiseo-eo/doc/html/" href="../../../paradiseo-eo/doc/html/classeo_pop.html">eoPop</a>< MOEOT > & </td>
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<td class="paramname"> <em>_pop</em> </td>
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<td> ) </td>
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<td width="100%"><code> [inline, private]</code></td>
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</tr>
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</table>
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</div>
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<div class="memdoc">
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<p>
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Sets the fitness values for problems with more than two objectives with a complexity of O(n² log n), where n stands for the population size.
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<p>
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<dl compact><dt><b>Parameters:</b></dt><dd>
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<table border="0" cellspacing="2" cellpadding="0">
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<tr><td valign="top"></td><td valign="top"><em>_pop</em> </td><td>the population </td></tr>
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</table>
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</dl>
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<p>
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Definition at line <a class="el" href="moeoFastNonDominatedSortingFitnessAssignment_8h-source.html#l00146">146</a> of file <a class="el" href="moeoFastNonDominatedSortingFitnessAssignment_8h-source.html">moeoFastNonDominatedSortingFitnessAssignment.h</a>.
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<p>
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References <a class="el" href="moeoFastNonDominatedSortingFitnessAssignment_8h-source.html#l00109">moeoFastNonDominatedSortingFitnessAssignment< MOEOT >::comparator</a>.
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<p>
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Referenced by <a class="el" href="moeoFastNonDominatedSortingFitnessAssignment_8h-source.html#l00056">moeoFastNonDominatedSortingFitnessAssignment< MOEOT >::operator()()</a>.
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</div>
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</div><p>
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<hr>The documentation for this class was generated from the following file:<ul>
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<li><a class="el" href="moeoFastNonDominatedSortingFitnessAssignment_8h-source.html">moeoFastNonDominatedSortingFitnessAssignment.h</a></ul>
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<hr size="1"><address style="align: right;"><small>Generated on Tue Apr 17 16:53:21 2007 for ParadisEO-MOEO by
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<a href="http://www.doxygen.org/index.html">
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<img src="doxygen.png" alt="doxygen" align="middle" border="0"></a> 1.5.1 </small></address>
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</body>
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</html>
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