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decision.py
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#!/usr/bin/env python3
# -*- coding: utf-8 -*-
import numpy as np
import math
def dempster(liste_critere):
# ajout candidat non app
masseCan = []
for i in range(len(liste_critere)):
masseCan.append(fusionCritereConj(liste_critere[i]))
# fusion candidat
( resultList , fusCandidat ) = fusionCandidat(masseCan)
# decision
deci = decision(resultList , fusCandidat)
return deci
def fusionCritereConj(Candidat) :
dic = {}
result = {}
resultList = []
transit = {}
if len(Candidat) == 1 :
Candidat = Candidat[0]
result["app"] = Candidat[0]
result["-app"] = Candidat[1]
result["theta"] = Candidat[2]
result["phi"] = 0
return result
for i in range(len(Candidat)) :
dic["app"+str(i+1)] = Candidat[i][0]
dic["-app"+str(i+1)] = Candidat[i][1]
dic["theta"+ str(i+1)] = Candidat[i][2]
result["app"] = 0
result["-app"] = 0
result["theta"] = 0
result["phi"] = 0
transit["app"] = 0
transit["-app"] = 0
transit["theta"] = 0
transit["phi"] = 0
matrice = [["app" , "phi" , "app"],
["phi" , "-app" , "-app"],
["app" , "-app" , "theta"]]
for k in range(len(Candidat)-1):
result["app"] = 0
result["-app"] = 0
result["theta"] = 0
result["phi"] = 0
if k == 0 :
colone = ["app1" , "-app1" , "theta1" ]
ligne = ["app2" , "-app2" , "theta2" ]
matrice = [["app" , "phi" , "app"],
["phi" , "-app" , "-app"],
["app" , "-app" , "theta"]]
for i in range(np.shape(matrice)[0]):
for j in range(np.shape(matrice)[1]):
jeu = matrice[i][j]
if dic[colone[j]] * dic[ligne[i]] != 0 :
result[jeu] += dic[colone[j]] * dic[ligne[i]]
else :
ligne = ["app"+str(k+2) , "-app"+str(k+2) , "theta"+str(k+2) ]
colone = ["app" , "-app" , "theta" , "phi" ]
matrice = [["app" , "phi" , "app"],
["phi" , "-app" , "-app"],
["app" , "-app" , "theta"],
["phi" , "phi" , "phi"]]
for i in range(np.shape(matrice)[0]):
for j in range(np.shape(matrice)[1]):
jeu = matrice[i][j]
if colone[i][0] == 't':
result[jeu] += transit['theta'] * dic[ligne[j]]
elif colone[i][0] == 'p':
result[jeu] += transit['phi'] * dic[ligne[j]]
elif colone[i][0] == 'a':
result[jeu] += transit['app'] * dic[ligne[j]]
elif colone[i][0] == '-':
result[jeu] += transit['-app'] * dic[ligne[j]]
transit["app"] = result["app"]
transit["-app"] = result["-app"]
transit["theta"] = result["theta"]
transit["phi"] = result["phi"]
return result
def fusionCandidat(candidat):
# Changer pa rapport au fait que masseCan est un dictionnaire
# intialisation des dictionnaires
if len(candidat) > 9 :
result = {}
resultList = []
result["C1"] = 0
result["-C1"] = 0
result["theta"] = 0
result["phi"] = 0
resultList.append("C1")
resultList.append("-C1")
resultList.append("theta")
resultList.append("phi")
return (resultList , result)
dic = {}
transit = {}
result = {}
resultList = []
for i in range(len(candidat)) :
dic["C"+str(i+1)] = candidat[i]["app"]
dic["-C"+str(i+1)] = candidat[i]["-app"]
dic["theta"+ str(i+1)] = candidat[i]["theta"]
dic["phi"+ str(i+1)] = candidat[i]["phi"]
transit["C"+str(i+1)] = 0
transit["-C"+str(i+1)] = 0
result["C"+str(i+1)] = 0
result["-C"+str(i+1)] = 0
resultList.append("C"+str(i+1))
resultList.append("-C"+str(i+1))
transit["theta"] = 0
transit["phi"] = 0
result["theta"] = 0
result["phi"] = 0
#result["NA"] = 0
resultList.append("theta")
resultList.append("phi")
#resultList.append("NA")
if len(candidat) == 1 :
result["C1"] = candidat[i]["app"]
result["-C1"] = candidat[i]["-app"]
result["theta"] = candidat[i]["theta"]
result["phi"] = candidat[i]["phi"]
for k in range(len(candidat)-1):
(ligne , colone , matrice) = mat( k + 2 , len(candidat))
listmodif = []
for i in range(len(resultList)):
result[resultList[i]] = 0
for i in range(np.shape(matrice)[0]):
for j in range(np.shape(matrice)[1]):
jeu = str(matrice[i][j])[2:len(str(matrice[i][j]))-1]
listmodif.append(jeu)
#if dic[colone[j]] * dic[ligne[i]] != 0 :
if k == 0 :
coeff = dic[colone[j]] * dic[ligne[i]]
else :
if ligne[i][0] == 't':
coeff = transit['theta'] * dic[colone[j]]
elif ligne[i][0] == 'p':
coeff = transit['phi'] * dic[colone[j]]
else :
coeff = transit[ligne[i]] * dic[colone[j]]
# ajout NA
if jeu == "NA":
lis = [k+1 for k in range(len(candidat))]
a = int(colone[j][::-1][0])
b = int(ligne[i][::-1][0])
reste= []
for n in range(len(lis)):
if lis[n] in (a,b) :
pass
else :
reste.append(lis[n])
if reste == [] :
result[jeu] = coeff
else :
string = 'NA'
string += str(reste)
result[string] = coeff
else :
result[jeu] += coeff
for i in range(len(listmodif)):
if listmodif[i] != "phi" and listmodif[i] != "theta" and listmodif[i] != "NA":
transit[listmodif[i]] = result[listmodif[i]]
transit["theta"] = result["theta"]
transit["phi"] = result["phi"]
a = result['phi']
if a != 1:
for i in range(len(result)):
result[list(result.keys())[i]] = result[list(result.keys())[i]] / ( 1 - a )
result['phi'] = 0
"""
sum_ = 0
for i in range(len(result)):
string = str(list(result.keys())[i])
sum_ += result[string]
"""
return ( resultList , result )
def mat( index , nbCandidat):
colone = ("C"+ str(index) , "-C"+ str(index) , "theta"+ str(index) , "phi"+ str(index))
ligne = []
for i in range(index-1):
ligne.append("C"+str(i+1))
ligne.append("-C"+str(i+1))
ligne.append("theta"+ str(1))
ligne.append("phi"+ str(1))
matrice = np.chararray((len(ligne),len(colone)), 5)
for i in range(len(colone)):
for j in range(len(ligne)):
matrice[j][i] = loi(ligne[j] , colone[i])
return (ligne , colone , matrice)
def loi(x,y):
# x = Cx , -Cx , theta , phi
if x == y :
return x
if len(x) > 2 :
if x[0:3] == "phi" :
return "phi"
if x[0:5] == "theta":
if len(y) >2 and y[0:3] == "phi" :
return "phi"
else :
return y
if x[0] == 'C' :
if y[0] == 'C' :
return "phi"
if y[0] == '-' :
return x
if len(y) > 2:
if y[0:3] == "phi" :
return "phi"
if y[0:5] == "theta":
return x
if y[0] == 'C' :
if x[0] == 'C' :
return "phi"
if x[0] == '-' :
return y
if x[0] == "C" :
if y[0] == "C" :
if x[1] != y[1] :
return "phi"
if y[0] == "-" :
if x[1] != y[2] :
return x
elif len(x) == len(y) - 2 :
return x
else :
return "NA"
if x[0] == "-" :
if y[0] == "C" :
if x[2] != y[1] :
return y
else :
return "NA"
if y[0] == "-" :
return "NA"
import numpy
def decision(resultList , fusion):
proba = {}
a = int((len(resultList) - 2 )/ 2)
if a == 1 :
if fusion["C1"] > fusion["-C1"] or fusion["C1"] > fusion["theta"] :
return "C1"
else : return "NA"
app = []
_app = []
for i in range(a):
app.append(fusion['C' + str(i+1)])
_app.append(fusion['-C' + str(i+1)])
result = np.array(app) @ numpy.eye(a)
result += np.array(_app) @ (1/(a) * ( numpy.ones(a) - numpy.eye(a) ))
ligneNA = []
matrice = []
for i in range(len(fusion)):
if list(fusion.keys())[i][0:2] == 'NA':
ligneNA.append(fusion[list(fusion.keys())[i]])
ligne = [0 for i in range(a)]
for j in range(int( (len(list(fusion.keys())[i]) ) /3 ) ):
"""
if 3*j + 3 == 24 :
chiffre = 10
ligne[int(chiffre) - 1] = 1/(a - 1)
"""
chiffre = list(fusion.keys())[i][3*j +3]
ligne[int(chiffre) - 1] = 1/(a - 1)
matrice.append(ligne)
result += np.array(ligneNA) @ matrice
resultNA = np.array(ligneNA) @ ( 1/(a - 1) * np.ones(len(ligneNA)))
resultNA += np.array(_app) @ (1/(a) * np.ones(a))
for i in range(a):
proba['C' + str(i+1)] = result[i]
proba['C' + str(i+1)] += fusion['theta']/(a+1)
proba['NA'] = resultNA
proba['NA'] += fusion['theta']/(a+1)
sum_ = 0
for i in range(len(proba)):
string = str(list(proba.keys())[i])
sum_ += proba[string]
max_ = 0
for i in range(len(list(proba.keys()))):
if proba[str(list(proba.keys())[i])] > max_ :
max_ = proba[str(list(proba.keys())[i])]
result = str(list(proba.keys())[i])
if result == 'NA' :
return 'NA'
epsilon = 0.01
if proba['NA'] - epsilon < max_ and max_ < proba['NA'] + epsilon :
return "NA"
return result
if __name__ == "__main__" :
Candidat1 = [[0.5511923335630442, 0.13274213314042746, 0.3160655332965283], [0.01, 0.29000000000000004, 0.7]]
Candidat2 = [[0.01, 0.29000000000000004, 0.7], [0.01, 0.29000000000000004, 0.7]]
Candidat3 = [[0.4992905470434321, 0.14754996651777896, 0.3531594864387889], [0.01, 0.29000000000000004, 0.7]]
Candidat4 = [[0.4992905470434321, 0.14754996651777896, 0.3531594864387889], [0.01, 0.29000000000000004, 0.7]]
print(mat( 10 , 10)[2])
"""
# 2077
Candidat1 = [[0.5511923335630442, 0.13274213314042746, 0.3160655332965283], [0.01, 0.29000000000000004, 0.7]]
Candidat2 = [[0.01, 0.29000000000000004, 0.7], [0.01, 0.29000000000000004, 0.7]]
Candidat3 = [[0.4992905470434321, 0.14754996651777896, 0.3531594864387889], [0.01, 0.29000000000000004, 0.7]]
c1 = fusionCritereConj(Candidat1)
print("fusionCritereC1 = ",c1)
print(" ")
c2 = fusionCritereConj(Candidat2)
print("fusionCritereC2 = ",c2)
print(" ")
c3 = fusionCritereConj(Candidat3)
print("fusionCritereC3 = ",c3)
print(" ")
d = dempster(( Candidat1 , Candidat2 , Candidat3))
print(" ")
print(d)
d = dempster(( Candidat2 , Candidat3 , Candidat1))
print(" ")
print(d)
Candidat1 = [[ 0.4 , 0 , 0.6 ] , [0.3 , 0 , 0.7]]
Candidat2 = [[ 0.1 , 0.9 , 0 ] , [0 , 1 , 0]]
Candidat3 = [[ 0.35 , 0 , 0.65 ] , [0.3 , 0 , 0.7]]
c1 = [ 0.58 , 0 , 0.42 , 0 ]
c2 = [ 0, 0.9 , 0 , 0.1 ]
c3 = [ 0.54 , 0 , 0.46 , 0 ]
print(dempster((Candidat1 , Candidat2 , Candidat3)))
resultat = {'masseC1': 0.24, 'masseC1barre': 0.0,
'masseC2': 0.0, 'masseC2barre': 0.17,
'masseC3': 0.20, 'masseC3barre': 0.0,
'masseNA': 0.0, 'masseOm': 0.0, 'massevide': 0.39}
"""