- Non Stationary Fuzzy Sets - Refactoring
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Petrônio Cândido
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c38a3747f0
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@ -7,20 +7,21 @@ IEEE Transactions on Fuzzy Systems, v. 16, n. 4, p. 1072-1086, 2008.
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import numpy as np
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from pyFTS import *
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from pyFTS.common import FuzzySet, Membership
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from pyFTS.common import FuzzySet as FS, Membership
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from pyFTS.partitioners import partitioner
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from pyFTS.nonstationary import perturbation
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class MembershipFunction(object):
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class FuzzySet(FS.FuzzySet):
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"""
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Non Stationary Membership Function
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Non Stationary Fuzzy Sets
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"""
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def __init__(self, name, mf, parameters, **kwargs):
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"""
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Non Stationary Membership Function
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Constructor
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:param name:
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:param mf:
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:param mf: Fuzzy Membership Function
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:param parameters:
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:param kwargs:
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- location: Pertubation function that affects the location of the membership function
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@ -30,8 +31,8 @@ class MembershipFunction(object):
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- noise: Pertubation function that adds noise on the membership function
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- noise_params: Parameters for noise pertubation function
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"""
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self.mf = mf
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self.parameters = parameters
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super(FuzzySet, self).__init__(name=name, mf=mf, parameters=parameters, centroid=None)
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self.location = kwargs.get("location", None)
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self.location_params = kwargs.get("location_params", None)
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self.location_roots = kwargs.get("location_roots", 0)
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@ -42,7 +43,7 @@ class MembershipFunction(object):
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self.noise_params = kwargs.get("noise_params", None)
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self.perturbated_parameters = {}
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if self.location is not None and not isinstance(self.location, (list,set)):
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if self.location is not None and not isinstance(self.location, (list, set)):
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self.location = [self.location]
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self.location_params = [self.location_params]
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self.location_roots = [self.location_roots]
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@ -58,18 +59,18 @@ class MembershipFunction(object):
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l = len(self.location)
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inc = sum([self.location[k](t + self.location_roots[k], self.location_params[k]) for k in np.arange(0,l)] )
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inc = sum([self.location[k](t + self.location_roots[k], self.location_params[k]) for k in np.arange(0, l)])
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if self.mf == Membership.gaussmf:
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#changes only the mean parameter
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# changes only the mean parameter
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return [param[0] + inc, param[1]]
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elif self.mf == Membership.sigmf:
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#changes only the midpoint parameter
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# changes only the midpoint parameter
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return [param[0], param[1] + inc]
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elif self.mf == Membership.bellmf:
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return [param[0], param[1], param[2] + inc]
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else:
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#translate all parameters
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# translate all parameters
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return [k + inc for k in param]
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def perform_width(self, t, param):
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@ -81,19 +82,19 @@ class MembershipFunction(object):
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inc = sum([self.width[k](t + self.width_roots[k], self.width_params[k]) for k in np.arange(0, l)])
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if self.mf == Membership.gaussmf:
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#changes only the variance parameter
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# changes only the variance parameter
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return [param[0], param[1] + inc]
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elif self.mf == Membership.sigmf:
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#changes only the smooth parameter
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# changes only the smooth parameter
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return [param[0] + inc, param[1]]
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elif self.mf == Membership.trimf:
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tmp = inc/2
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tmp = inc / 2
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return [param[0] - tmp, param[1], param[2] + tmp]
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elif self.mf == Membership.trapmf:
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l = (param[3]-param[0])
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l = (param[3] - param[0])
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rab = (param[1] - param[0]) / l
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rcd = (param[3] - param[2]) / l
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return [param[0] - inc, param[1] - inc*rab, param[2] + inc*rcd, param[3] + inc]
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return [param[0] - inc, param[1] - inc * rab, param[2] + inc * rcd, param[3] + inc]
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else:
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return param
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@ -120,18 +121,6 @@ class MembershipFunction(object):
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param = self.perform_width(t, param)
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self.perturbated_parameters[t] = param
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def __str__(self):
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tmp = ""
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if self.location is not None:
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tmp += "Loc. Pert.: "
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for ct, f in enumerate(self.location):
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tmp += str(f.__name__) + "(" + str(self.location_params[ct]) + ") "
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if self.width is not None:
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tmp += "Wid. Pert.: "
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for ct, f in enumerate(self.width):
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tmp += str(f.__name__) + "(" + str(self.width_params[ct]) + ") "
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return str(self.mf.__name__) + "(" + str(self.parameters) + ") " + tmp
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def get_midpoint(self, t):
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self.perturbate_parameters(t)
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@ -180,26 +169,17 @@ class MembershipFunction(object):
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else:
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return param
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class FuzzySet(FuzzySet.FuzzySet):
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"""
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Non Stationary Fuzzy Sets
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"""
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def __init__(self, name, mf, **kwargs):
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"""
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Constructor
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:param name: Fuzzy Set name
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:param mf: NonStationary Membership Function
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"""
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super(FuzzySet, self).__init__(name=name, mf=mf, parameters=None, centroid=None)
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def membership(self, x, t):
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return self.mf.membership(x,t)
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def __str__(self):
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return self.name + ": " + str(self.mf)
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tmp = ""
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if self.location is not None:
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tmp += "Loc. Pert.: "
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for ct, f in enumerate(self.location):
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tmp += str(f.__name__) + "(" + str(self.location_params[ct]) + ") "
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if self.width is not None:
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tmp += "Wid. Pert.: "
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for ct, f in enumerate(self.width):
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tmp += str(f.__name__) + "(" + str(self.width_params[ct]) + ") "
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return self.name + ": " + str(self.mf.__name__) + "(" + str(self.parameters) + ") " + tmp
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class PolynomialNonStationaryPartitioner(partitioner.Partitioner):
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@ -221,14 +201,13 @@ class PolynomialNonStationaryPartitioner(partitioner.Partitioner):
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for ct, set in enumerate(part.sets):
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loc_roots = np.roots(loc_params[ct])[0]
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wid_roots = np.roots(wid_params[ct])[0]
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mf = MembershipFunction(name=set.name, mf=set.mf, parameters=set.parameters,
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tmp = FuzzySet(set.name, set.mf, set.parameters,
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location=perturbation.polynomial,
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location_params=loc_params[ct],
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location_roots=loc_roots, #**kwargs)
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width=perturbation.polynomial,
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width_params=wid_params[ct],
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width_roots=wid_roots, **kwargs)
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tmp = FuzzySet(set.name, mf, **kwargs)
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self.sets.append(tmp)
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@ -12,9 +12,9 @@ def plot_sets(uod, sets, start=0, end=10, tam=[5, 5], colors=None, save=False, f
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for t in np.arange(start,end,1):
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for ct, set in enumerate(sets):
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set.membership(0, t)
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param = set.mf.perturbated_parameters[t]
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param = set.perturbated_parameters[t]
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if set.mf.mf == Membership.trimf:
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if set.mf == Membership.trimf:
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axes.plot([t, t+1, t], param)
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ticks.extend(["t+"+str(t),""])
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