def test_load_representation(self):
# should raise an exception with an empty or None representation
with self.assertRaises(Exception) : GeneralType2FuzzySet.from_representation(None)
with self.assertRaises(Exception) : GeneralType2FuzzySet.from_representation('')
gt2fs = GeneralType2FuzzySet.from_representation('''(0.90 / 0.00 + 0.50 / 0.20 + 0.20 / 0.40 + 0.35 / 0.61 + 0.10 / 0.80) / 1.00
+ (0.50 / 0.00 + 0.35 / 0.20 + 0.35 / 0.40 + 0.20 / 0.60 + 0.50 / 0.80) / 2.00
+ (0.35 / 0.60 + 0.35 / 0.80) / 3.00
+ (0.10 / 0.00 + 0.35 / 0.20 + 0.50 / 0.40 + 0.10 / 0.60 + 0.35 / 0.80 + 0.25 / 1.00) / 4.00
+ (0.35 / 0.00 + 0.50 / 0.20 + 0.10 / 0.40 + 0.20 / 0.60 + 0.20 / 0.80) / 5.00''')
# check correct set creation
self.assertDictEqual(gt2fs[1.00].elements(), {0.00:0.90, 0.20:0.50, 0.40:0.20, 0.61:0.35, 0.80:0.10})
self.assertDictEqual(gt2fs[2.00].elements(), {0.00:0.50, 0.20:0.35, 0.40:0.35, 0.60:0.20, 0.80:0.50})
self.assertDictEqual(gt2fs[3.00].elements(), {0.60:0.35, 0.80:0.35})
self.assertDictEqual(gt2fs[4.00].elements(), {0.00:0.10, 0.20:0.35, 0.40:0.50, 0.60:0.10, 0.80:0.35, 1.00:0.25})
self.assertDictEqual(gt2fs[5.00].elements(), {0.00:0.35, 0.20:0.50, 0.40:0.10, 0.60:0.20, 0.80:0.20})
# chech exception with invalid represenation
invalid_set_representation = '''(0.90 0.00 + 0.50 / 0.20 + 0.20 / 0.40 + 0.35 / 0.61 + 0.10 / 0.80) / 1.00
+ (0.50 / 0.00 + 0.35 / 0.20 + 0.35 / 0.40 + 0.20 / 0.60 + 0.50 / 0.80) / 2.00
+ (0.35 / 0.60 + 0.35 / 0.80) / 3.00
+ (0.10 / 0.00 + 0.35 / 0.20 + 0.50 / 0.40 + 0.10 / 0.60 + 0.35 / 0.80 s 0.25 / 1.00) / 4.00
+ (0.35 / 0.00 + 0.50 / 0.20 + 0.10 / 0.40 + 0.20 / 0.60 + 0.20 / 0.80) / 5.00'''
with self.assertRaises(Exception) : GeneralType2FuzzySet.from_representation(invalid_set_representation)
def test_embedded_type2_sets_count(self):
gt2fs = GeneralType2FuzzySet.from_representation('''(0.90 / 0.00 + 0.50 / 0.20 + 0.20 / 0.40 + 0.35 / 0.60 + 0.10 / 0.80 ) / 1.00
+ (0.50 / 0.00 + 0.35 / 0.20 + 0.35 / 0.40 + 0.20 / 0.60 + 0.50 / 0.80 ) / 2.00
+ ( 0.35 / 0.60 + 0.35 / 0.80 ) / 3.00
+ (0.10 / 0.00 + 0.35 / 0.20 + 0.50 / 0.40 + 0.10 / 0.60 + 0.35 / 0.80 + 0.25 / 1.00) / 4.00
+ (0.35 / 0.00 + 0.50 / 0.20 + 0.10 / 0.40 + 0.20 / 0.60 + 0.20 / 0.80 ) / 5.00''')
expected_embedded_set_count = 5 * 5 * 2 * 6 * 5
self.assertEqual(gt2fs.embedded_type2_sets_count(), expected_embedded_set_count)
def test_primary_domain(self):
gt2fs = GeneralType2FuzzySet.from_representation('''(0.90 / 0.00 + 0.50 / 0.20 + 0.20 / 0.40 + 0.35 / 0.60 + 0.10 / 0.80 ) / 1.00
+ (0.50 / 0.00 + 0.35 / 0.20 + 0.35 / 0.40 + 0.20 / 0.60 + 0.50 / 0.80 ) / 2.00
+ ( 0.35 / 0.60 + 0.35 / 0.80 ) / 3.00
+ (0.10 / 0.00 + 0.35 / 0.20 + 0.50 / 0.40 + 0.10 / 0.60 + 0.35 / 0.80 + 0.25 / 1.00) / 4.00
+ (0.35 / 0.00 + 0.50 / 0.20 + 0.10 / 0.40 + 0.20 / 0.60 + 0.20 / 0.80 ) / 5.00''')
primary_domain = gt2fs.primary_domain()
expected_primary_domain = [1.00, 2.00, 3.00, 4.00, 5.00]
self.assertListEqual(primary_domain, expected_primary_domain)
def test_load_file(self):
__location__ = os.path.realpath(os.path.join(os.getcwd(), os.path.dirname(__file__)))
with self.assertRaises(Exception) : GeneralType2FuzzySet.from_representation(None)
with self.assertRaises(Exception) : GeneralType2FuzzySet.from_representation(os.path.join(__location__, ''))
with self.assertRaises(Exception) : GeneralType2FuzzySet.from_representation(os.path.join(__location__,'abc.txt'))
with self.assertRaises(Exception) : GeneralType2FuzzySet.from_representation(os.path.join(__location__,'test_set_empty.txt'))
gt2fs = GeneralType2FuzzySet.load_file(os.path.join(__location__,'test_set.txt'))
# check correct set creation
self.assertDictEqual(gt2fs[1.00].elements(), {0.00:0.90, 0.20:0.50, 0.40:0.20, 0.61:0.35, 0.80:0.10})
self.assertDictEqual(gt2fs[2.00].elements(), {0.00:0.50, 0.20:0.35, 0.40:0.35, 0.60:0.20, 0.80:0.50})
self.assertDictEqual(gt2fs[3.00].elements(), {0.60:0.35, 0.80:0.35})
self.assertDictEqual(gt2fs[4.00].elements(), {0.00:0.10, 0.20:0.35, 0.40:0.50, 0.60:0.10, 0.80:0.35, 1.00:0.25})
self.assertDictEqual(gt2fs[5.00].elements(), {0.00:0.35, 0.20:0.50, 0.40:0.10, 0.60:0.20, 0.80:0.20})
def test_embedded_type2_sets(self):
gt2fs = GeneralType2FuzzySet.from_representation('''(0.90 / 0.00 + 0.50 / 0.20) / 1.00
+ (0.35 / 0.40 + 0.20 / 0.60) / 2.00
+ (0.15 / 0.80 + 0.25 / 1.00) / 3.00 ''')
expected_result = [[(0.9, 0, 1), (0.35, 0.4, 2), (0.15, 0.8, 3)],
[(0.9, 0, 1), (0.35, 0.4, 2), (0.25, 1, 3)],
[(0.9, 0, 1), (0.2, 0.6, 2), (0.15, 0.8, 3)],
[(0.9, 0, 1), (0.2, 0.6, 2), (0.25, 1, 3)],
[(0.5, 0.2, 1), (0.35, 0.4, 2), (0.15, 0.8, 3)],
[(0.5, 0.2, 1), (0.35, 0.4, 2), (0.25, 1, 3)],
[(0.5, 0.2, 1), (0.2, 0.6, 2), (0.15, 0.8, 3)],
[(0.5, 0.2, 1), (0.2, 0.6, 2), (0.25, 1, 3)]]
self.assertListEqual(gt2fs.embedded_type2_sets(), expected_result)
def test_primary_membership(self):
gt2fs = GeneralType2FuzzySet.from_representation('''(0.90 / 0.00 + 0.50 / 0.20 + 0.20 / 0.40 + 0.35 / 0.60 + 0.10 / 0.80 ) / 1.00
+ (0.50 / 0.00 + 0.35 / 0.20 + 0.35 / 0.40 + 0.20 / 0.60 + 0.50 / 0.80 ) / 2.00
+ ( 0.35 / 0.60 + 0.35 / 0.80 ) / 3.00
+ (0.10 / 0.00 + 0.35 / 0.20 + 0.50 / 0.40 + 0.10 / 0.60 + 0.35 / 0.80 + 0.25 / 1.00) / 4.00
+ (0.35 / 0.00 + 0.50 / 0.20 + 0.10 / 0.40 + 0.20 / 0.60 + 0.20 / 0.80 ) / 5.00''')
self.assertListEqual(gt2fs.primary_membership(1), [0.00, 0.20, 0.40, 0.60, 0.80])
self.assertListEqual(gt2fs.primary_membership(2), [0.00, 0.20, 0.40, 0.60, 0.80])
self.assertListEqual(gt2fs.primary_membership(3), [0.60, 0.80])
self.assertListEqual(gt2fs.primary_membership(4), [0.00, 0.20, 0.40, 0.60, 0.80, 1.00])
self.assertListEqual(gt2fs.primary_membership(5), [0.00, 0.20, 0.40, 0.60, 0.80])
with self.assertRaises(Exception) : gt2fs.primary_membership(6.00)
def test_vertical_slice(self):
gt2fs = GeneralType2FuzzySet.from_representation('''(0.90 / 0.00 + 0.50 / 0.20 + 0.20 / 0.40 + 0.35 / 0.60 + 0.10 / 0.80 ) / 1.00
+ (0.50 / 0.00 + 0.35 / 0.20 + 0.35 / 0.40 + 0.20 / 0.60 + 0.50 / 0.80 ) / 2.00
+ ( 0.35 / 0.60 + 0.35 / 0.80 ) / 3.00
+ (0.10 / 0.00 + 0.35 / 0.20 + 0.50 / 0.40 + 0.10 / 0.60 + 0.35 / 0.80 + 0.25 / 1.00) / 4.00
+ (0.35 / 0.00 + 0.50 / 0.20 + 0.10 / 0.40 + 0.20 / 0.60 + 0.20 / 0.80 ) / 5.00''')
self.assertDictEqual(gt2fs.vertical_slice(1)._elements, {0.00:0.90, 0.20:0.50, 0.40:0.20, 0.60:0.35, 0.80:0.10})
self.assertDictEqual(gt2fs.vertical_slice(2)._elements, {0.00:0.50, 0.20:0.35, 0.40:0.35, 0.60:0.20, 0.80:0.50})
self.assertDictEqual(gt2fs.vertical_slice(3)._elements, {0.60:0.35, 0.80:0.35})
self.assertDictEqual(gt2fs.vertical_slice(4)._elements, {0.00:0.10, 0.20:0.35, 0.40:0.50, 0.60:0.10, 0.80:0.35, 1.00:0.25})
self.assertDictEqual(gt2fs.vertical_slice(5)._elements, {0.00:0.35, 0.20:0.50, 0.40:0.10, 0.60:0.20, 0.80:0.20})
with self.assertRaises(Exception) : gt2fs.vertical_slice(6.00)
def test__getitem__(self):
gt2fs = GeneralType2FuzzySet.from_representation('''(0.90 / 0.00 + 0.50 / 0.20 + 0.20 / 0.40 + 0.35 / 0.60 + 0.10 / 0.80 ) / 1.00
+ (0.50 / 0.00 + 0.35 / 0.20 + 0.35 / 0.40 + 0.20 / 0.60 + 0.50 / 0.80 ) / 2.00
+ ( 0.35 / 0.60 + 0.35 / 0.80 ) / 3.00
+ (0.10 / 0.00 + 0.35 / 0.20 + 0.50 / 0.40 + 0.10 / 0.60 + 0.35 / 0.80 + 0.25 / 1.00) / 4.00
+ (0.35 / 0.00 + 0.50 / 0.20 + 0.10 / 0.40 + 0.20 / 0.60 + 0.20 / 0.80 ) / 5.00''')
self.assertDictEqual(gt2fs[1.00].elements(), {0.00:0.90, 0.20:0.50, 0.40:0.20, 0.60:0.35, 0.80:0.10})
self.assertDictEqual(gt2fs[2.00].elements(), {0.00:0.50, 0.20:0.35, 0.40:0.35, 0.60:0.20, 0.80:0.50})
self.assertDictEqual(gt2fs[3.00].elements(), {0.60:0.35, 0.80:0.35})
self.assertDictEqual(gt2fs[4.00].elements(), {0.00:0.10, 0.20:0.35, 0.40:0.50, 0.60:0.10, 0.80:0.35, 1.00:0.25})
self.assertDictEqual(gt2fs[5.00].elements(), {0.00:0.35, 0.20:0.50, 0.40:0.10, 0.60:0.20, 0.80:0.20})
with self.assertRaises(Exception) : gt2fs[6.00]
def test_to_file(self):
set_representation = '(0.90 / 0.00 + 0.50 / 0.50 + 0.30 / 0.90) / 1.00 + (1.00 / 0.50 + 0.60 / 0.90) / 2.00 + (1.00 / 0.90) / 3.00'
gt2fs = GeneralType2FuzzySet.from_representation(set_representation)
filename = 'save_file_test.txt'
gt2fs.save_file(filename, num_dec_places=2)
with open(filename, 'r') as fuzzy_file:
set_read = fuzzy_file.read()
self.assertEqual(set_read, set_representation)
with self.assertRaises(Exception) : gt2fs.save_file('')
with self.assertRaises(Exception) : gt2fs.save_file(None)
def test_add_membership_function(self):
gt2fs = GeneralType2FuzzySet.from_representation('''(0.90 / 0.00 + 0.50 / 0.20 + 0.20 / 0.40 + 0.35 / 0.60 + 0.10 / 0.80 ) / 1.00
+ (0.50 / 0.00 + 0.35 / 0.20 + 0.35 / 0.40 + 0.20 / 0.60 + 0.50 / 0.80 ) / 2.00
+ ( 0.35 / 0.60 + 0.35 / 0.80 ) / 3.00
+ (0.35 / 0.00 + 0.50 / 0.20 + 0.10 / 0.40 + 0.20 / 0.60 + 0.20 / 0.80 ) / 5.00''')
smf = SecondaryMembershipFunction.from_representation('0.10 / 0.00 + 0.35 / 0.20 + 0.50 / 0.40 + 0.10 / 0.60 + 0.35 / 0.80 + 0.25 / 1.00')
gt2fs.add_membership_function(4.00, smf)
# check correct set creation
self.assertDictEqual(gt2fs[1.00].elements(), {0.00:0.90, 0.20:0.50, 0.40:0.20, 0.60:0.35, 0.80:0.10})
self.assertDictEqual(gt2fs[2.00].elements(), {0.00:0.50, 0.20:0.35, 0.40:0.35, 0.60:0.20, 0.80:0.50})
self.assertDictEqual(gt2fs[3.00].elements(), {0.60:0.35, 0.80:0.35})
self.assertDictEqual(gt2fs[4.00].elements(), {0.00:0.10, 0.20:0.35, 0.40:0.50, 0.60:0.10, 0.80:0.35, 1.00:0.25})
self.assertDictEqual(gt2fs[5.00].elements(), {0.00:0.35, 0.20:0.50, 0.40:0.10, 0.60:0.20, 0.80:0.20})
def test_footprint_of_uncertainty(self):
gt2fs = GeneralType2FuzzySet.from_representation('''(0.90 / 0.00 + 0.50 / 0.20 + 0.20 / 0.40 + 0.35 / 0.60 + 0.10 / 0.80 ) / 1.00
+ (0.50 / 0.00 + 0.35 / 0.20 + 0.35 / 0.40 + 0.20 / 0.60 + 0.50 / 0.80 ) / 2.00
+ ( 0.35 / 0.60 + 0.35 / 0.80 ) / 3.00
+ (0.10 / 0.00 + 0.35 / 0.20 + 0.50 / 0.40 + 0.10 / 0.60 + 0.35 / 0.80 + 0.25 / 1.00) / 4.00
+ (0.35 / 0.00 + 0.50 / 0.20 + 0.10 / 0.40 + 0.20 / 0.60 + 0.20 / 0.80 ) / 5.00''')
expected_fou = {1.00:(0.00, 0.80),
2.00:(0.00, 0.80),
3.00:(0.60,0.80),
4.00:(0.00, 1.00),
5.00:(0.00, 0.80)}
fou = gt2fs.footprint_of_uncertainty()
for primary_domain_element in expected_fou:
self.assertEqual(gt2fs.footprint_of_uncertainty()[primary_domain_element].left, expected_fou[primary_domain_element][0])
self.assertEqual(gt2fs.footprint_of_uncertainty()[primary_domain_element].right, expected_fou[primary_domain_element][1])
def test_to_array_implicit(self):
gt2fs = GeneralType2FuzzySet.from_representation('''(0.90 / 0.00 + 0.50 / 0.20 + 0.20 / 0.40 + 0.35 / 0.60 + 0.10 / 0.80 ) / 0.80
+ (0.50 / 0.00 + 0.35 / 0.20 + 0.35 / 0.40 + 0.20 / 0.60 + 0.50 / 0.80 ) / 2.20
+ ( 0.35 / 0.60 + 0.35 / 0.80 ) / 3.40
+ (0.10 / 0.00 + 0.35 / 0.20 + 0.50 / 0.40 + 0.10 / 0.60 + 0.35 / 0.80 + 0.25 / 1.00) / 3.90
+ (0.35 / 0.00 + 0.50 / 0.20 + 0.10 / 0.40 + 0.20 / 0.60 + 0.20 / 0.80 ) / 4.70''')
primary_domain = [1.00, 2.00, 3.00, 4.00, 5.00]
secondary_domain = [0.0, 0.2, 0.4, 0.6, 0.8, 1.0]
set_array = gt2fs.to_array_implicit(primary_domain, secondary_domain)
expected_set_array = np.array([ [0.90, 0.50, 0.00, 0.10, 0.35],
[0.50, 0.35, 0.00, 0.35, 0.50],
[0.20, 0.35, 0.00, 0.50, 0.10],
[0.35, 0.20, 0.35, 0.10, 0.20],
[0.10, 0.50, 0.35, 0.35, 0.20],
[0.00, 0.00, 0.00, 0.25, 0.00] ])
np.testing.assert_array_equal(expected_set_array, set_array)
def test_secondary_grade(self):
gt2fs = GeneralType2FuzzySet.from_representation('''(0.90 / 0.00 + 0.50 / 0.20 + 0.20 / 0.40 + 0.35 / 0.60 + 0.10 / 0.80 ) / 1.00
+ (0.50 / 0.00 + 0.35 / 0.20 + 0.35 / 0.40 + 0.20 / 0.60 + 0.50 / 0.80 ) / 2.00
+ ( 0.35 / 0.60 + 0.35 / 0.80 ) / 3.00
+ (0.10 / 0.00 + 0.35 / 0.20 + 0.50 / 0.40 + 0.10 / 0.60 + 0.35 / 0.80 + 0.25 / 1.00) / 4.00
+ (0.35 / 0.00 + 0.50 / 0.20 + 0.10 / 0.40 + 0.20 / 0.60 + 0.20 / 0.80 ) / 5.00''')
primary_domain = [1.00, 2.00, 3.00, 4.00, 5.00]
secondary_domain = [0.0, 0.2, 0.4, 0.6, 0.8]
expected_sec_grade_array = np.array([ [0.90, 0.50, 0.00, 0.10, 0.35],
[0.50, 0.35, 0.00, 0.35, 0.50],
[0.20, 0.35, 0.00, 0.50, 0.10],
[0.35, 0.20, 0.35, 0.10, 0.20],
[0.10, 0.50, 0.35, 0.35, 0.20],
[0.00, 0.00, 0.00, 0.25, 0.00] ])
for primary_domain_val_idx in range(len(primary_domain)):
for secondary_domain_val_idx in range(len(secondary_domain)):
expected_sec_grade = expected_sec_grade_array[secondary_domain_val_idx][primary_domain_val_idx]
if expected_sec_grade > 0:
self.assertEqual(gt2fs.secondary_grade( primary_domain[primary_domain_val_idx],
secondary_domain[secondary_domain_val_idx]), expected_sec_grade)