diff --git a/moeo/src/distance/BertDistance.h b/moeo/src/distance/BertDistance.h
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+/*
+  <BertDistance.h>
+   Oumayma BAHRI
+
+Author:
+       Oumayma BAHRI <oumaymabahri.com>
+
+ParadisEO WebSite : http://paradiseo.gforge.inria.fr
+Contact: paradiseo-help@lists.gforge.inria.fr	   
+
+*/
+//-----------------------------------------------------------------------------
+
+#ifndef BERTDISTANCE_H_
+#define BERTDISTANCE_H_
+
+#include <math.h>
+#include <distance/moeoObjSpaceDistance.h>
+#include "ObjectiveVectorNormalizer.h"
+
+/**
+ * A class allowing to compute an Bert distance between two fuzzy solutions in the objective space 
+ with normalized objective values (i.e. between 0 and 1).
+ * A distance value then lies between 0 and sqrt(nObjectives).
+ */
+template < class MOEOT>
+class BertDistance : public moeoObjSpaceDistance < MOEOT >
+  {
+  public:
+
+    /** the objective vector type of the solutions */
+    typedef typename MOEOT::ObjectiveVector ObjectiveVector;
+    /** the fitness type of the solutions */
+    typedef typename MOEOT::Fitness Fitness;
+
+    /**
+      default ctr
+      */
+   /* BertDistance ()
+	  {}*/
+	/**
+      ctr with a normalizer
+      @param _normalizer the normalizer used for every ObjectiveVector
+      */
+    /**
+      default ctr
+      */
+    BertDistance ():normalizer(defaultNormalizer)
+	  {}
+
+
+	double calculateBertDistance(std::triple<double, double, double> A, std::triple<double, double, double> B)
+	{
+		double midA = 0.5 * (A.first + A.third);
+		double midB = 0.5 * (B.first + B.third);
+		double sprA = 0.5 * (A.first - A.third);
+		double sprB = 0.5 * (B.first - B.third);
+
+		double theta = 0.5;
+
+		return sqrt((midA -midB) * (midA -midB) + theta * (sprA - sprB) * (sprA - sprB));
+	}
+
+
+    /**
+     * tmp1 and tmp2 take the Expected values of Objective vectors
+     * Returns the Bert distance between _obj1 and _obj2 in the objective space
+     * @param _obj1 the first objective vector
+     * @param _obj2 the second objective vector
+     */
+const Fitness operator()(const ObjectiveVector & _obj1, const ObjectiveVector & _obj2)
+    {
+		vector<double> v_BD;
+		double dist=0.0;
+
+		for (unsigned int i=0; i<ObjectiveVector::nObjectives(); i++)
+		{
+			dist +=calculateBertDistance(normalizer(_obj1)[i], normalizer(_obj2)[i]);
+		}
+		
+		//dist += normalizer(v_BD);
+
+		return dist/ObjectiveVector::nObjectives();
+
+}
+
+
+  private:
+	  ObjectiveVectorNormalizer<MOEOT> Normalizer;
+
+
+
+  };
+
+#endif /*BERTDISTANCE_H_*/