Métricas: sharpness,resolution e coverage
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4160b7d8dd
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102
benchmarks.py
102
benchmarks.py
@ -13,37 +13,87 @@ def Teste(par):
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plt.plot(x,y)
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# Erro quadrático médio
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def rmse(forecasts,targets):
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return np.sqrt(np.nanmean((forecasts-targets)**2))
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def rmse(targets, forecasts):
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return np.sqrt(np.nanmean((forecasts-targets)**2))
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def rmse_interval(targets, forecasts):
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fmean = [np.mean(i) for i in forecasts]
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return np.sqrt(np.nanmean((fmean-targets)**2))
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# Erro Percentual médio
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def mape(forecasts,targets):
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return np.mean(abs(forecasts-targets)/forecasts)
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def mape(targets, forecasts):
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return np.mean(abs(forecasts-targets)/forecasts)*100
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def plotComparedSeries(original,fts,parameters):
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fig = plt.figure(figsize=[20,6])
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def mape_interval(targets, forecasts):
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fmean = [np.mean(i) for i in forecasts]
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return np.mean(abs(fmean-targets)/fmean)*100
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#Sharpness - Mean size of the intervals
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def sharpness(forecasts):
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tmp = [i[1] - i[0] for i in forecasts ]
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return np.mean(tmp)
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#Resolution - Standard deviation of the intervals
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def resolution(forecasts):
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shp = sharpness(forecasts)
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tmp = [abs((i[1] - i[0]) - shp) for i in forecasts ]
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return np.mean(tmp)
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# Percent of
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def coverage(targets,forecasts):
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preds = []
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for i in np.arange(0,len(forecasts)):
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if targets[i] >= forecasts[i][0] and targets[i] <= forecasts[i][1] :
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preds.append(1)
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else:
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preds.append(1)
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return np.mean(preds)
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def getIntervalStatistics(original,models):
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ret = "Model & RMSE & MAPE & Sharpness & Resolution & Coverage \\ \n"
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for fts in models:
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forecasts = fts.forecast(original)
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ret = ret + fts.shortname + " & "
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ret = ret + str( round(rmse_interval(original[fts.order :],forecasts),2)) + " & "
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ret = ret + str( round(mape_interval(original[fts.order :],forecasts),2)) + " & "
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ret = ret + str( round(sharpness(forecasts),2)) + " & "
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ret = ret + str( round(resolution(forecasts),2)) + " & "
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ret = ret + str( round(coverage(original[fts.order :],forecasts),2)) + " \\ \n"
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return ret
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def plotComparedSeries(original,models, colors):
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fig = plt.figure(figsize=[25,10])
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ax = fig.add_subplot(111)
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forecasted = fts.forecast(original)
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#error = rmse(original[1:],forecasted[0:-1])
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#np.append(original,[None])
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ax.plot(original,color='b',label="Original")
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if fts.isInterval:
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lower = [kk[0] for kk in forecasted]
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upper = [kk[1] for kk in forecasted]
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ax.set_ylim([min(lower),max(upper)])
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for k in np.arange(0,fts.order):
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lower.insert(0,None)
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upper.insert(0,None)
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ax.plot(lower,color='r',label="Predicted")
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ax.plot(upper,color='r')
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else:
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forecasted.insert(0,None)
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ax.plot(forecasted,color='r',label="Predicted")
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ax.set_ylim([np.nanmin(forecasted),np.nanmax(forecasted)])
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handles0, labels0 = ax.get_legend_handles_labels()
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ax.legend(handles0,labels0)
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ax.set_title(fts.name)
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mi = []
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ma = []
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ax.plot(original,color='black',label="Original")
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count = 0
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for fts in models:
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forecasted = fts.forecast(original)
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if fts.isInterval:
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lower = [kk[0] for kk in forecasted]
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upper = [kk[1] for kk in forecasted]
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mi.append(min(lower))
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ma.append(max(upper))
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for k in np.arange(0,fts.order):
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lower.insert(0,None)
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upper.insert(0,None)
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ax.plot(lower,color=colors[count],label=fts.shortname)
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ax.plot(upper,color=colors[count])
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else:
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mi.append(min(forecasted))
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ma.append(max(forecasted))
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forecasted.insert(0,None)
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ax.plot(forecasted,color=colors[count],label=fts.shortname)
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handles0, labels0 = ax.get_legend_handles_labels()
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ax.legend(handles0,labels0)
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count = count + 1
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#ax.set_title(fts.name)
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ax.set_ylim([min(mi),max(ma)])
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ax.set_ylabel('F(T)')
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ax.set_xlabel('T')
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ax.set_xlim([0,len(original)])
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2
hofts.py
2
hofts.py
@ -33,7 +33,7 @@ class HighOrderFLRG:
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class HighOrderFTS(fts.FTS):
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def __init__(self,name):
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super(HighOrderFTS, self).__init__(1,"HOFTS")
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super(HighOrderFTS, self).__init__(1,"HOFTS" + name)
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self.name = "High Order FTS"
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self.detail = "Chen"
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self.order = 1
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23
ifts.py
23
ifts.py
@ -3,7 +3,8 @@ from pyFTS import *
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class IntervalFTS(hofts.HighOrderFTS):
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def __init__(self,name):
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super(IntervalFTS, self).__init__("IFTS")
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super(IntervalFTS, self).__init__("IFTS " + name)
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self.shortname = "IFTS " + name
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self.name = "Interval FTS"
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self.detail = "Silva, P.; Guimarães, F.; Sadaei, H."
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self.flrgs = {}
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@ -49,8 +50,8 @@ class IntervalFTS(hofts.HighOrderFTS):
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for k in np.arange(self.order,l):
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flrs = []
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mvs = []
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affected_flrgs = []
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affected_flrgs_memberships = []
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up = []
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lo = []
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@ -81,10 +82,10 @@ class IntervalFTS(hofts.HighOrderFTS):
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flrg = hofts.HighOrderFLRG(self.order)
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for kk in path: flrg.appendLHS(self.sets[ kk ])
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flrs.append(flrg)
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affected_flrgs.append(flrg)
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# Acha a pertinência geral de cada FLRG
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mvs.append(min(self.getSequenceMembership(subset, flrg.LHS)))
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affected_flrgs_memberships.append(min(self.getSequenceMembership(subset, flrg.LHS)))
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else:
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mv = common.fuzzyInstance(ndata[k],self.sets)
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@ -93,18 +94,18 @@ class IntervalFTS(hofts.HighOrderFTS):
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for kk in idx:
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flrg = hofts.HighOrderFLRG(self.order)
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flrg.appendLHS(self.sets[ kk ])
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flrs.append(flrg)
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mvs.append(mv[kk])
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affected_flrgs.append(flrg)
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affected_flrgs_memberships.append(mv[kk])
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count = 0
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for flrg in flrs:
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for flrg in affected_flrgs:
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# achar o os bounds de cada FLRG, ponderados pela pertinência
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up.append( mvs[count] * self.getUpper(flrg) )
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lo.append( mvs[count] * self.getLower(flrg) )
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up.append( affected_flrgs_memberships[count] * self.getUpper(flrg) )
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lo.append( affected_flrgs_memberships[count] * self.getLower(flrg) )
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count = count + 1
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# gerar o intervalo
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norm = sum(mvs)
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norm = sum(affected_flrgs_memberships)
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ret.append( [ sum(lo)/norm, sum(up)/norm ] )
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return ret
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19
pifts.py
19
pifts.py
@ -28,6 +28,7 @@ class ProbabilisticFLRG(hofts.HighOrderFLRG):
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class ProbabilisticIntervalFTS(ifts.IntervalFTS):
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def __init__(self,name):
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super(ProbabilisticIntervalFTS, self).__init__("PIFTS")
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self.shortname = "PIFTS " + name
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self.name = "Probabilistic Interval FTS"
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self.detail = "Silva, P.; Guimarães, F.; Sadaei, H."
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self.flrgs = {}
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@ -84,8 +85,8 @@ class ProbabilisticIntervalFTS(ifts.IntervalFTS):
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for k in np.arange(self.order,l):
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flrs = []
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mvs = []
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affected_flrgs = []
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affected_flrgs_memberships = []
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norms = []
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up = []
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@ -118,10 +119,10 @@ class ProbabilisticIntervalFTS(ifts.IntervalFTS):
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for kk in path: flrg.appendLHS(self.sets[ kk ])
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##
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flrs.append( flrg )
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affected_flrgs.append( flrg )
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# Acha a pertinência geral de cada FLRG
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mvs.append(min(self.getSequenceMembership(subset, flrg.LHS)))
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affected_flrgs_memberships.append(min(self.getSequenceMembership(subset, flrg.LHS)))
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else:
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mv = common.fuzzyInstance(ndata[k],self.sets) # get all membership values
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@ -130,13 +131,13 @@ class ProbabilisticIntervalFTS(ifts.IntervalFTS):
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for kk in idx:
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flrg = hofts.HighOrderFLRG(self.order)
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flrg.appendLHS(self.sets[ kk ])
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flrs.append( flrg )
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mvs.append(mv[kk])
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affected_flrgs.append( flrg )
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affected_flrgs_memberships.append(mv[kk])
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count = 0
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for flrg in flrs:
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# achar o os bounds de cada FLRG, ponderados pela pertinência
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norm = self.getProbability(flrg) * mvs[count]
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for flrg in affected_flrgs:
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# achar o os bounds de cada FLRG, ponderados pela probabilidade e pertinência
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norm = self.getProbability(flrg) * affected_flrgs_memberships[count]
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up.append( norm * self.getUpper(flrg) )
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lo.append( norm * self.getLower(flrg) )
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norms.append(norm)
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