def test_comparison():
fn_a = FuzzyNumberFactory.triangular(0.2, 1.0, 2.8)
fn_b = FuzzyNumberFactory.triangular(0.0, 1.8, 2.2)
assert exceedance(fn_a, fn_b).possibility == 0.777777777777778
assert exceedance(fn_a, fn_b).necessity == 0.384615384615385
assert strict_exceedance(fn_a, fn_b).possibility == 0.454545454545454
assert strict_exceedance(fn_a, fn_b).necessity == 0.0
assert undervaluation(fn_a, fn_b).possibility == 1.0
assert undervaluation(fn_a, fn_b).necessity == 0.545454545454546
assert strict_undervaluation(fn_a, fn_b).possibility == 0.615384615384615
assert strict_undervaluation(fn_a, fn_b).necessity == 0.222222222222222
def test_problematic_comparison():
fn_a = FuzzyNumberFactory.triangular(0.2, 1.0, 2.8)
fn_b = FuzzyNumberFactory.triangular(0.2, 1.8, 2.8)
assert isinstance(exceedance(fn_a, fn_b), PossibilisticMembership)
assert isinstance(strict_exceedance(fn_a, fn_b), PossibilisticMembership)
assert isinstance(undervaluation(fn_a, fn_b), PossibilisticMembership)
assert isinstance(strict_undervaluation(fn_a, fn_b),
PossibilisticMembership)
fn_a = FuzzyNumberFactory.triangular(0.2, 1.0, 2.8)
fn_b = FuzzyNumberFactory.triangular(0.0, 1, 3)
assert isinstance(exceedance(fn_a, fn_b), PossibilisticMembership)
assert isinstance(strict_exceedance(fn_a, fn_b), PossibilisticMembership)
assert isinstance(undervaluation(fn_a, fn_b), PossibilisticMembership)
assert isinstance(strict_undervaluation(fn_a, fn_b),
PossibilisticMembership)
def fn_e() -> FuzzyNumber:
return FuzzyNumberFactory.triangular(1, 2, 3, number_of_cuts=6)
def fn_d() -> FuzzyNumber:
return FuzzyNumberFactory.trapezoidal(1, 2, 3, 4)
def fn_c() -> FuzzyNumber:
return FuzzyNumberFactory.triangular(-1, 0, 1)
def fn_b() -> FuzzyNumber:
return FuzzyNumberFactory.triangular(2, 3, 4)
def fn_a() -> FuzzyNumber:
return FuzzyNumberFactory.triangular(1, 2, 3)