- Seasonal partitioner

pyFTS/common/Composite.py

@@ -11,14 +11,19 @@ class FuzzySet(FuzzySet.FuzzySet):
     """
     Composite Fuzzy Set
     """
-    def __init__(self, name):
+    def __init__(self, name, superset=False):
         """
         Create an empty composite fuzzy set
         :param name: fuzzy set name
         """
-        super(FuzzySet, self).__init__(self, name=name, mf=None, parameters=None, centroid=None)
+        super(FuzzySet, self).__init__(self, name, None, None, None, type='composite')
-        self.mf = []
+        self.superset = superset
-        self.parameters = []
+        if self.superset:
+            self.sets = []
+        else:
+            self.mf = []
+            self.parameters = []
+
 
     def membership(self, x):
         """
@@ -26,7 +31,10 @@ class FuzzySet(FuzzySet.FuzzySet):
         :param x: input value
         :return: membership value of x at this fuzzy set
         """
-        return min([self.mf[ct](x, self.parameters[ct]) for ct in np.arange(0, len(self.mf))])
+        if self.superset:
+            return max([s.membership(x) for s in self.sets])
+        else:
+            return min([self.mf[ct](x, self.parameters[ct]) for ct in np.arange(0, len(self.mf))])
 
     def append(self, mf, parameters):
         """
@@ -37,3 +45,12 @@ class FuzzySet(FuzzySet.FuzzySet):
         """
         self.mf.append(mf)
         self.parameters.append(parameters)
+
+    def append_set(self, set):
+        """
+        Adds a new function to composition
+        :param mf:
+        :param parameters:
+        :return:
+        """
+        self.sets.append(set)

pyFTS/common/FuzzySet.py

@@ -7,7 +7,7 @@ class FuzzySet(object):
     """
     Fuzzy Set
     """
-    def __init__(self, name, mf, parameters, centroid):
+    def __init__(self, name, mf, parameters, centroid, alpha=1.0, type='common'):
         """
         Create a Fuzzy Set 
         :param name: fuzzy set name
@@ -19,6 +19,8 @@ class FuzzySet(object):
         self.mf = mf
         self.parameters = parameters
         self.centroid = centroid
+        self.alpha = alpha
+        self.type = type
         ":param Z: Partition function in respect to the membership function"
         self.Z = None
         if self.mf == Membership.trimf:
@@ -35,7 +37,7 @@ class FuzzySet(object):
         :param x: input value 
         :return: membership value of x at this fuzzy set
         """
-        return self.mf(x, self.parameters)
+        return self.mf(x, self.parameters) * self.alpha
 
     def partition_function(self,uod=None, nbins=100):
         """

pyFTS/models/seasonal/common.py

@@ -7,13 +7,25 @@ from pyFTS.partitioners import partitioner, Grid
 
 class DateTime(Enum):
     year = 1
-    month = 2
+    month = 12
-    day_of_month = 3
+    day_of_month = 30
-    day_of_year = 4
+    day_of_year = 364
-    day_of_week = 5
+    day_of_week = 7
     hour = 6
     minute = 7
     second = 8
+    hour_of_day = 24
+    hour_of_week = 168
+    hour_of_month = 744
+    hour_of_year = 8736
+    minute_of_hour = 60
+    minute_of_day = 1440
+    minute_of_week = 10080
+    minute_of_month = 44640
+    minute_of_year = 524160
+    second_of_minute = 60.00001
+    second_of_hour = 3600
+    second_of_day = 86400
 
 
 def strip_datepart(self, date, date_part):
@@ -27,12 +39,45 @@ def strip_datepart(self, date, date_part):
         tmp = date.day
     elif date_part == DateTime.day_of_week:
         tmp = date.weekday()
-    elif date_part == DateTime.hour:
+    elif date_part == DateTime.hour or date_part == DateTime.hour_of_day:
         tmp = date.hour
-    elif date_part == DateTime.minute:
+    elif date_part == DateTime.hour_of_week:
+        wk = (date.weekday()-1) * 24
+        tmp = date.hour + wk
+    elif date_part == DateTime.hour_of_month:
+        wk = (date.day-1) * 24
+        tmp = date.hour + wk
+    elif date_part == DateTime.hour_of_year:
+        wk = (date.timetuple().tm_yday-1) * 24
+        tmp = date.hour + wk
+    elif date_part == DateTime.minute or date_part == DateTime.minute_of_hour:
         tmp = date.minute
-    elif date_part == DateTime.second:
+    elif date_part == DateTime.minute_of_day:
+        wk = date.hour * 60
+        tmp = date.minute + wk
+    elif date_part == DateTime.minute_of_week:
+        wk1 = (date.weekday()-1) * 1440 #24 * 60
+        wk2 = date.hour * 60
+        tmp = date.minute + wk1 + wk2
+    elif date_part == DateTime.minute_of_month:
+        wk1 = (date.day - 1) * 1440 #24 * 60
+        wk2 = date.hour * 60
+        tmp = date.minute + wk1 + wk2
+    elif date_part == DateTime.minute_of_year:
+        wk1 = (date.timetuple().tm_yday - 1) * 1440 #24 * 60
+        wk2 = date.hour * 60
+        tmp = date.minute + wk1 + wk2
+    elif date_part == DateTime.second or date_part == DateTime.second_of_minute:
         tmp = date.second
+    elif date_part == DateTime.second_of_hour:
+        wk1 = date.minute * 60
+        tmp = date.second + wk1
+    elif date_part == DateTime.second_of_day:
+        wk1 = date.hour * 3600 #60 * 60
+        wk2 = date.minute * 60
+        tmp = date.second + wk1 + wk2
+    else:
+        raise Exception("Unknown DateTime value!")
 
     return tmp
 
@@ -42,8 +87,8 @@ class FuzzySet(FuzzySet.FuzzySet):
     Temporal/Seasonal Fuzzy Set
     """
 
-    def __init__(self, datepart, name, mf, parameters, centroid):
+    def __init__(self, datepart, name, mf, parameters, centroid, alpha=1.0):
-        super(FuzzySet, self).__init__(name, mf, parameters, centroid)
+        super(FuzzySet, self).__init__(name, mf, parameters, centroid, alpha)
         self.datepart = datepart
 
     def membership(self, x):

pyFTS/models/seasonal/partitioner.py

@@ -0,0 +1,101 @@
+from pyFTS.common import Membership
+from pyFTS.common.Composite import FuzzySet as Composite
+from pyFTS.partitioners import partitioner, Grid
+from pyFTS.models.seasonal.common import DateTime, FuzzySet, strip_datepart
+import numpy as np
+import matplotlib.pylab as plt
+
+
+class TimeGridPartitioner(partitioner.Partitioner):
+    """Even Length DateTime Grid Partitioner"""
+
+    def __init__(self, data, npart, season, func=Membership.trimf, names=None):
+        """
+        Even Length Grid Partitioner
+        :param data: Training data of which the universe of discourse will be extracted. The universe of discourse is the open interval between the minimum and maximum values of the training data.
+        :param npart: The number of universe of discourse partitions, i.e., the number of fuzzy sets that will be created
+        :param func: Fuzzy membership function (pyFTS.common.Membership)
+        """
+        super(TimeGridPartitioner, self).__init__("TimeGrid", data, npart, func=func, names=names, transformation=None,
+                                                  indexer=None, preprocess=False)
+
+        self.season = season
+        if self.season == DateTime.year:
+            ndata = [strip_datepart(k, season) for k in data]
+            self.min = min(ndata)
+            self.max = max(ndata)
+        else:
+            tmp = (self.season.value / self.partitions) / 2
+            self.min = tmp
+            self.max = self.season.value + tmp
+
+        self.sets = self.build(None)
+
+    def build(self, data):
+        sets = []
+
+        if self.season == DateTime.year:
+            dlen = (self.max - self.min)
+            partlen = dlen / self.partitions
+        else:
+            partlen = self.season.value / self.partitions
+            pl2 = partlen / 2
+
+        count = 0
+        for c in np.arange(self.min, self.max, partlen):
+            set_name = self.prefix + str(count) if self.setnames is None else self.setnames[count]
+            if self.membership_function == Membership.trimf:
+                if c == self.min:
+                    tmp = Composite(set_name, superset=True)
+                    tmp.append_set(FuzzySet(self.season, set_name, Membership.trimf,
+                                            [self.season.value - pl2, self.season.value,
+                                             self.season.value + 0.0000001], self.season.value, alpha=.5))
+                    tmp.append_set(FuzzySet(self.season, set_name, Membership.trimf,
+                                            [c - partlen, c, c + partlen], c))
+                    tmp.centroid = c
+                    sets.append(tmp)
+                else:
+                    sets.append(FuzzySet(self.season, set_name, Membership.trimf,
+                                         [c - partlen, c, c + partlen], c))
+            elif self.membership_function == Membership.gaussmf:
+                sets.append(FuzzySet(self.season, set_name, Membership.gaussmf, [c, partlen / 3], c))
+            elif self.membership_function == Membership.trapmf:
+                q = partlen / 4
+                if c == self.min:
+                    tmp = Composite(set_name, superset=True)
+                    tmp.append_set(FuzzySet(self.season, set_name, Membership.trimf,
+                                            [self.season.value - pl2, self.season.value,
+                                             self.season.value + 0.0000001], 0))
+                    tmp.append_set(FuzzySet(self.season, set_name, Membership.trapmf,
+                                            [c - partlen, c - q, c + q, c + partlen], c))
+                    tmp.centroid = c
+                    sets.append(tmp)
+                else:
+                    sets.append(FuzzySet(self.season, set_name, Membership.trapmf,
+                                         [c - partlen, c - q, c + q, c + partlen], c))
+            count += 1
+
+        self.min = 0
+
+        return sets
+
+    def plot(self, ax):
+        """
+        Plot the
+        :param ax:
+        :return:
+        """
+        ax.set_title(self.name)
+        ax.set_ylim([0, 1])
+        ax.set_xlim([0, self.season.value])
+        ticks = []
+        x = []
+        for s in self.sets:
+            if s.type == 'common':
+                self.plot_set(ax, s)
+            elif s.type == 'composite':
+                for ss in s.sets:
+                    self.plot_set(ax, ss)
+#            ticks.append(str(round(s.centroid, 0)) + '\n' + s.name)
+#            x.append(s.centroid)
+#        plt.xticks(x, ticks)

pyFTS/partitioners/partitioner.py

@@ -8,7 +8,8 @@ class Partitioner(object):
     Universe of Discourse partitioner. Split data on several fuzzy sets
     """
 
-    def __init__(self, name, data, npart, func=Membership.trimf, names=None, prefix="A", transformation=None, indexer=None):
+    def __init__(self, name, data, npart, func=Membership.trimf, names=None, prefix="A",
+                 transformation=None, indexer=None, preprocess=True):
         """
         Universe of Discourse partitioner scheme. Split data on several fuzzy sets
         :param name: partitioner name
@@ -28,31 +29,33 @@ class Partitioner(object):
         self.transformation = transformation
         self.indexer = indexer
 
-        if self.indexer is not None:
+        if preprocess:
-            ndata = self.indexer.get_data(data)
-        else:
-            ndata = data
 
-        if transformation is not None:
+            if self.indexer is not None:
-            ndata = transformation.apply(ndata)
+                ndata = self.indexer.get_data(data)
-        else:
+            else:
-            ndata = data
+                ndata = data
 
-        _min = min(ndata)
+            if transformation is not None:
-        if _min < 0:
+                ndata = transformation.apply(ndata)
-            self.min = _min * 1.1
+            else:
-        else:
+                ndata = data
-            self.min = _min * 0.9
 
-        _max = max(ndata)
+            _min = min(ndata)
-        if _max > 0:
+            if _min < 0:
-            self.max = _max * 1.1
+                self.min = _min * 1.1
-        else:
+            else:
-            self.max = _max * 0.9
+                self.min = _min * 0.9
 
-        self.sets = self.build(ndata)
+            _max = max(ndata)
+            if _max > 0:
+                self.max = _max * 1.1
+            else:
+                self.max = _max * 0.9
 
-        del(ndata)
+            self.sets = self.build(ndata)
+
+            del(ndata)
 
     def build(self, data):
         """
@@ -74,16 +77,25 @@ class Partitioner(object):
         ticks = []
         x = []
         for s in self.sets:
-            if s.mf == Membership.trimf:
+            if s.type == 'common':
-                ax.plot([s.parameters[0], s.parameters[1], s.parameters[2]], [0, 1, 0])
+                self.plot_set(ax, s)
-            elif s.mf == Membership.gaussmf:
+            elif s.type == 'composite':
-                tmpx = [kk for kk in np.arange(s.lower, s.upper)]
+                for ss in s.sets:
-                tmpy = [s.membership(kk) for kk in np.arange(s.lower, s.upper)]
+                    self.plot_set(ax, ss)
-                ax.plot(tmpx, tmpy)
             ticks.append(str(round(s.centroid,0))+'\n'+s.name)
             x.append(s.centroid)
         plt.xticks(x,ticks)
 
+    def plot_set(self, ax, s):
+        if s.mf == Membership.trimf:
+            ax.plot([s.parameters[0], s.parameters[1], s.parameters[2]], [0, s.alpha, 0])
+        elif s.mf == Membership.gaussmf:
+            tmpx = [kk for kk in np.arange(s.lower, s.upper)]
+            tmpy = [s.membership(kk) for kk in np.arange(s.lower, s.upper)]
+            ax.plot(tmpx, tmpy)
+        elif s.mf == Membership.trapmf:
+            ax.plot(s.parameters, [0, s.alpha, s.alpha, 0])
+
 
     def __str__(self):
         tmp = self.name + ":\n"

pyFTS/tests/seasonal.py

@@ -0,0 +1,19 @@
+import matplotlib.pylab as plt
+from pyFTS.models.seasonal import partitioner, common
+from pyFTS.partitioners import Util
+from pyFTS.common import Membership
+
+
+#fs = partitioner.TimeGridPartitioner(None, 12, common.DateTime.day_of_year, func=Membership.trapmf,
+#                                     names=['Jan','Feb','Mar','Apr','May','Jun','Jul','Aug','Sep','Oct','Nov','Dec'])
+
+
+#fs = partitioner.TimeGridPartitioner(None, 24, common.DateTime.minute_of_day, func=Membership.trapmf)
+
+fs = partitioner.TimeGridPartitioner(None, 7, common.DateTime.hour_of_week, func=Membership.trapmf)
+
+
+fig, ax = plt.subplots(nrows=1, ncols=1, figsize=[6, 8])
+
+fs.plot(ax)
+plt.show()