Module type2fuzzy.tests.test_generaltype2fuzzyset
Expand source code
import unittest
import os
import numpy as np
from type2fuzzy.membership.generaltype2fuzzyset import GeneralType2FuzzySet
from type2fuzzy.membership.secondarymf import SecondaryMembershipFunction
from type2fuzzy.membership.crispset import CrispSet
class TestGeneralType2FuzzySet(unittest.TestCase):
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_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_load_array(self):
#test that it works
primary_domain = [1, 2, 3]
secondary_domain = [0, 0.5, 0.9]
set_array =[[0.9, 0.0, 0.0],
[0.5, 1.0, 0.0],
[0.3, 0.6, 1.0]]
gt2fs = GeneralType2FuzzySet.from_array(primary_domain, secondary_domain, set_array)
self.assertDictEqual(gt2fs[1.00].elements(), {0.00:0.90, 0.50:0.50, 0.90:0.30})
self.assertDictEqual(gt2fs[2.00].elements(), {0.00:0.00, 0.50:1.00, 0.90:0.6})
self.assertDictEqual(gt2fs[3.00].elements(), {0.00:0.00, 0.50:0.00, 0.90:1.00})
#mismatch tests
primary_domain = [1, 2, 3, 4]
with self.assertRaises(Exception) : GeneralType2FuzzySet.from_array(set_array, primary_domain, secondary_domain)
primary_domain = [1, 2, 3]
secondary_domain = [0.5, 0.9]
with self.assertRaises(Exception) : GeneralType2FuzzySet.from_array(set_array, primary_domain, secondary_domain)
primary_domain = [1, 2, 3]
secondary_domain = [0, 0.5, 0.9]
set_array =[[0.9, 0.0, 0.0],
[0.5, 1.0],
[0.3, 0.6, 1.0]]
with self.assertRaises(Exception) : GeneralType2FuzzySet.from_array(set_array, primary_domain, secondary_domain)
def test_to_representation(self):
# this is tested before
primary_domain = [1, 2, 3]
secondary_domain = [0, 0.5, 0.9]
set_array =[[0.9, 0.0, 0.0],
[0.5, 1.0, 0.0],
[0.3, 0.6, 1.0]]
gt2fs = GeneralType2FuzzySet.from_array(primary_domain, secondary_domain, set_array)
str_set = gt2fs.__str__()
expected_set = '(0.9000 / 0.0000 + 0.5000 / 0.5000 + 0.3000 / 0.9000) / 1.0000 + (0.0000 / 0.0000 + 1.0000 / 0.5000 + 0.6000 / 0.9000) / 2.0000 + (0.0000 / 0.0000 + 0.0000 / 0.5000 + 1.0000 / 0.9000) / 3.0000'
self.assertEqual(str_set, expected_set)
def test_to_file(self):
set_representation = '(0.9000 / 0.0000 + 0.5000 / 0.5000 + 0.3000 / 0.9000) / 1.0000 + (1.0000 / 0.5000 + 0.6000 / 0.9000) / 2.0000 + (1.0000 / 0.9000) / 3.0000'
gt2fs = GeneralType2FuzzySet.from_representation(set_representation)
filename = os.path.join(os.path.dirname(__file__), '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_to_array_explicit(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, secondary_domain, set_array = gt2fs.to_array_explicit()
self.assertListEqual(primary_domain, [1.00, 2.00, 3.00, 4.00, 5.00])
self.assertListEqual(secondary_domain, [0.00, 0.20, 0.40, 0.60, 0.80, 1.00])
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_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_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_add_element(self):
gt2fs = GeneralType2FuzzySet()
# test add new smf
gt2fs.add_element(6.00, 0.5, 0.3)
self.assertDictEqual(gt2fs[6.00].elements(), {0.5:0.3})
# test add to existing smf
gt2fs.add_element(6.00, 0.6, 0.4)
self.assertDictEqual(gt2fs[6.00].elements(), {0.5:0.3, 0.6:0.4})
# assert that 0 secondary grade is not added
gt2fs.add_element(6.00, 0.7, 0)
self.assertDictEqual(gt2fs[6.00].elements(), {0.5:0.3, 0.6:0.4, 0.7:0.0})
# test for exceptions
with self.assertRaises(Exception) : gt2fs.add_element(0.4, 0.2, -0.1)
with self.assertRaises(Exception) : gt2fs.add_element(0.4, 0.2, 1.1)
with self.assertRaises(Exception) : gt2fs.add_element(0.4, -0.1, 0.2)
with self.assertRaises(Exception) : gt2fs.add_element(0.4, 1.1, 0.2)
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(fou[primary_domain_element].left, expected_fou[primary_domain_element][0])
self.assertEqual(fou[primary_domain_element].right, expected_fou[primary_domain_element][1])
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_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_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_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)
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_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)
if __name__ == '__main__':
unittest.main()Classes
class TestGeneralType2FuzzySet (methodName='runTest')-
A class whose instances are single test cases.
By default, the test code itself should be placed in a method named 'runTest'.
If the fixture may be used for many test cases, create as many test methods as are needed. When instantiating such a TestCase subclass, specify in the constructor arguments the name of the test method that the instance is to execute.
Test authors should subclass TestCase for their own tests. Construction and deconstruction of the test's environment ('fixture') can be implemented by overriding the 'setUp' and 'tearDown' methods respectively.
If it is necessary to override the init method, the base class init method must always be called. It is important that subclasses should not change the signature of their init method, since instances of the classes are instantiated automatically by parts of the framework in order to be run.
When subclassing TestCase, you can set these attributes: * failureException: determines which exception will be raised when the instance's assertion methods fail; test methods raising this exception will be deemed to have 'failed' rather than 'errored'. * longMessage: determines whether long messages (including repr of objects used in assert methods) will be printed on failure in addition to any explicit message passed. * maxDiff: sets the maximum length of a diff in failure messages by assert methods using difflib. It is looked up as an instance attribute so can be configured by individual tests if required.
Create an instance of the class that will use the named test method when executed. Raises a ValueError if the instance does not have a method with the specified name.
Expand source code
class TestGeneralType2FuzzySet(unittest.TestCase): 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_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_load_array(self): #test that it works primary_domain = [1, 2, 3] secondary_domain = [0, 0.5, 0.9] set_array =[[0.9, 0.0, 0.0], [0.5, 1.0, 0.0], [0.3, 0.6, 1.0]] gt2fs = GeneralType2FuzzySet.from_array(primary_domain, secondary_domain, set_array) self.assertDictEqual(gt2fs[1.00].elements(), {0.00:0.90, 0.50:0.50, 0.90:0.30}) self.assertDictEqual(gt2fs[2.00].elements(), {0.00:0.00, 0.50:1.00, 0.90:0.6}) self.assertDictEqual(gt2fs[3.00].elements(), {0.00:0.00, 0.50:0.00, 0.90:1.00}) #mismatch tests primary_domain = [1, 2, 3, 4] with self.assertRaises(Exception) : GeneralType2FuzzySet.from_array(set_array, primary_domain, secondary_domain) primary_domain = [1, 2, 3] secondary_domain = [0.5, 0.9] with self.assertRaises(Exception) : GeneralType2FuzzySet.from_array(set_array, primary_domain, secondary_domain) primary_domain = [1, 2, 3] secondary_domain = [0, 0.5, 0.9] set_array =[[0.9, 0.0, 0.0], [0.5, 1.0], [0.3, 0.6, 1.0]] with self.assertRaises(Exception) : GeneralType2FuzzySet.from_array(set_array, primary_domain, secondary_domain) def test_to_representation(self): # this is tested before primary_domain = [1, 2, 3] secondary_domain = [0, 0.5, 0.9] set_array =[[0.9, 0.0, 0.0], [0.5, 1.0, 0.0], [0.3, 0.6, 1.0]] gt2fs = GeneralType2FuzzySet.from_array(primary_domain, secondary_domain, set_array) str_set = gt2fs.__str__() expected_set = '(0.9000 / 0.0000 + 0.5000 / 0.5000 + 0.3000 / 0.9000) / 1.0000 + (0.0000 / 0.0000 + 1.0000 / 0.5000 + 0.6000 / 0.9000) / 2.0000 + (0.0000 / 0.0000 + 0.0000 / 0.5000 + 1.0000 / 0.9000) / 3.0000' self.assertEqual(str_set, expected_set) def test_to_file(self): set_representation = '(0.9000 / 0.0000 + 0.5000 / 0.5000 + 0.3000 / 0.9000) / 1.0000 + (1.0000 / 0.5000 + 0.6000 / 0.9000) / 2.0000 + (1.0000 / 0.9000) / 3.0000' gt2fs = GeneralType2FuzzySet.from_representation(set_representation) filename = os.path.join(os.path.dirname(__file__), '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_to_array_explicit(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, secondary_domain, set_array = gt2fs.to_array_explicit() self.assertListEqual(primary_domain, [1.00, 2.00, 3.00, 4.00, 5.00]) self.assertListEqual(secondary_domain, [0.00, 0.20, 0.40, 0.60, 0.80, 1.00]) 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_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_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_add_element(self): gt2fs = GeneralType2FuzzySet() # test add new smf gt2fs.add_element(6.00, 0.5, 0.3) self.assertDictEqual(gt2fs[6.00].elements(), {0.5:0.3}) # test add to existing smf gt2fs.add_element(6.00, 0.6, 0.4) self.assertDictEqual(gt2fs[6.00].elements(), {0.5:0.3, 0.6:0.4}) # assert that 0 secondary grade is not added gt2fs.add_element(6.00, 0.7, 0) self.assertDictEqual(gt2fs[6.00].elements(), {0.5:0.3, 0.6:0.4, 0.7:0.0}) # test for exceptions with self.assertRaises(Exception) : gt2fs.add_element(0.4, 0.2, -0.1) with self.assertRaises(Exception) : gt2fs.add_element(0.4, 0.2, 1.1) with self.assertRaises(Exception) : gt2fs.add_element(0.4, -0.1, 0.2) with self.assertRaises(Exception) : gt2fs.add_element(0.4, 1.1, 0.2) 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(fou[primary_domain_element].left, expected_fou[primary_domain_element][0]) self.assertEqual(fou[primary_domain_element].right, expected_fou[primary_domain_element][1]) 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_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_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_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) 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_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)Ancestors
- unittest.case.TestCase
Methods
def test__getitem__(self)-
Expand source code
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_add_element(self)-
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def test_add_element(self): gt2fs = GeneralType2FuzzySet() # test add new smf gt2fs.add_element(6.00, 0.5, 0.3) self.assertDictEqual(gt2fs[6.00].elements(), {0.5:0.3}) # test add to existing smf gt2fs.add_element(6.00, 0.6, 0.4) self.assertDictEqual(gt2fs[6.00].elements(), {0.5:0.3, 0.6:0.4}) # assert that 0 secondary grade is not added gt2fs.add_element(6.00, 0.7, 0) self.assertDictEqual(gt2fs[6.00].elements(), {0.5:0.3, 0.6:0.4, 0.7:0.0}) # test for exceptions with self.assertRaises(Exception) : gt2fs.add_element(0.4, 0.2, -0.1) with self.assertRaises(Exception) : gt2fs.add_element(0.4, 0.2, 1.1) with self.assertRaises(Exception) : gt2fs.add_element(0.4, -0.1, 0.2) with self.assertRaises(Exception) : gt2fs.add_element(0.4, 1.1, 0.2) def test_add_membership_function(self)-
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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_embedded_type2_sets(self)-
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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_embedded_type2_sets_count(self)-
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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_footprint_of_uncertainty(self)-
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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(fou[primary_domain_element].left, expected_fou[primary_domain_element][0]) self.assertEqual(fou[primary_domain_element].right, expected_fou[primary_domain_element][1]) def test_load_array(self)-
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def test_load_array(self): #test that it works primary_domain = [1, 2, 3] secondary_domain = [0, 0.5, 0.9] set_array =[[0.9, 0.0, 0.0], [0.5, 1.0, 0.0], [0.3, 0.6, 1.0]] gt2fs = GeneralType2FuzzySet.from_array(primary_domain, secondary_domain, set_array) self.assertDictEqual(gt2fs[1.00].elements(), {0.00:0.90, 0.50:0.50, 0.90:0.30}) self.assertDictEqual(gt2fs[2.00].elements(), {0.00:0.00, 0.50:1.00, 0.90:0.6}) self.assertDictEqual(gt2fs[3.00].elements(), {0.00:0.00, 0.50:0.00, 0.90:1.00}) #mismatch tests primary_domain = [1, 2, 3, 4] with self.assertRaises(Exception) : GeneralType2FuzzySet.from_array(set_array, primary_domain, secondary_domain) primary_domain = [1, 2, 3] secondary_domain = [0.5, 0.9] with self.assertRaises(Exception) : GeneralType2FuzzySet.from_array(set_array, primary_domain, secondary_domain) primary_domain = [1, 2, 3] secondary_domain = [0, 0.5, 0.9] set_array =[[0.9, 0.0, 0.0], [0.5, 1.0], [0.3, 0.6, 1.0]] with self.assertRaises(Exception) : GeneralType2FuzzySet.from_array(set_array, primary_domain, secondary_domain) def test_load_file(self)-
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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_load_representation(self)-
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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_primary_domain(self)-
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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_primary_membership(self)-
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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_secondary_grade(self)-
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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) def test_to_array_explicit(self)-
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def test_to_array_explicit(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, secondary_domain, set_array = gt2fs.to_array_explicit() self.assertListEqual(primary_domain, [1.00, 2.00, 3.00, 4.00, 5.00]) self.assertListEqual(secondary_domain, [0.00, 0.20, 0.40, 0.60, 0.80, 1.00]) 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_to_array_implicit(self)-
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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_to_file(self)-
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def test_to_file(self): set_representation = '(0.9000 / 0.0000 + 0.5000 / 0.5000 + 0.3000 / 0.9000) / 1.0000 + (1.0000 / 0.5000 + 0.6000 / 0.9000) / 2.0000 + (1.0000 / 0.9000) / 3.0000' gt2fs = GeneralType2FuzzySet.from_representation(set_representation) filename = os.path.join(os.path.dirname(__file__), '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_to_representation(self)-
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def test_to_representation(self): # this is tested before primary_domain = [1, 2, 3] secondary_domain = [0, 0.5, 0.9] set_array =[[0.9, 0.0, 0.0], [0.5, 1.0, 0.0], [0.3, 0.6, 1.0]] gt2fs = GeneralType2FuzzySet.from_array(primary_domain, secondary_domain, set_array) str_set = gt2fs.__str__() expected_set = '(0.9000 / 0.0000 + 0.5000 / 0.5000 + 0.3000 / 0.9000) / 1.0000 + (0.0000 / 0.0000 + 1.0000 / 0.5000 + 0.6000 / 0.9000) / 2.0000 + (0.0000 / 0.0000 + 0.0000 / 0.5000 + 1.0000 / 0.9000) / 3.0000' self.assertEqual(str_set, expected_set) def test_vertical_slice(self)-
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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)