soft.fuzzy.sets package

Subpackages

• soft.fuzzy.sets.continuous package
  • Submodules
  • soft.fuzzy.sets.continuous.abstract module
    • ContinuousFuzzySet
      • ContinuousFuzzySet.area()
      • ContinuousFuzzySet.area_helper()
      • ContinuousFuzzySet.calculate_membership()
      • ContinuousFuzzySet.count_granule_terms()
      • ContinuousFuzzySet.create()
      • ContinuousFuzzySet.extend()
      • ContinuousFuzzySet.forward()
      • ContinuousFuzzySet.get_subclass()
      • ContinuousFuzzySet.load()
      • ContinuousFuzzySet.mask
      • ContinuousFuzzySet.reshape_parameters()
      • ContinuousFuzzySet.save()
      • ContinuousFuzzySet.split()
      • ContinuousFuzzySet.split_by_variables()
      • ContinuousFuzzySet.stack()
    • Membership
  • soft.fuzzy.sets.continuous.group module
    • GroupedFuzzySets
      • GroupedFuzzySets.calculate_module_responses()
      • GroupedFuzzySets.evenly_spaced_exemplars()
      • GroupedFuzzySets.expand()
      • GroupedFuzzySets.forward()
      • GroupedFuzzySets.load()
      • GroupedFuzzySets.prune()
      • GroupedFuzzySets.save()
  • soft.fuzzy.sets.continuous.impl module
    • Gaussian
      • Gaussian.calculate_membership()
    • LogGaussian
      • LogGaussian.calculate_membership()
      • LogGaussian.sigmas
    • LogisticCurve
      • LogisticCurve.forward()
    • Lorentzian
      • Lorentzian.calculate_membership()
      • Lorentzian.sigmas
    • Triangular
      • Triangular.calculate_membership()
  • Module contents

Submodules

soft.fuzzy.sets.discrete module

Implements the discrete fuzzy sets.

class soft.fuzzy.sets.discrete.BaseDiscreteFuzzySet(formulas: list, name: str)

Bases: ABC

A parent class for all fuzzy sets to inherit. Allows the user to visualize the fuzzy set.

abstract degree(element) → NoReturn

Calculates degree of membership for the provided “element” where element is a(n) int/float.

Parameters:

element – The element is from the universe of discourse.

Returns:

NotImplementedError as this is an abstract method.

fetch(element: int | float)

Fetch the corresponding formula for the provided element where element is a(n) int/float.

Parameters:

element ('float') – The element is from the universe of discourse X.

Returns:

formula – Returns the tuple containing the formula and corresponding Interval. Returns None if a formula for the element could not be found.

Return type:

‘tuple’/’None’

plot(lower: float = 0, upper: float = 100, samples: int = 100) -> (<class 'matplotlib.figure.Figure'>, <class 'matplotlib.axes._axes.Axes'>)

Graphs the fuzzy set in the universe of elements.

Parameters:

• lower ('float', optional) – Default value is 0. Specifies the infimum value for the graph.

• upper ('float', optional) – Default value is 100. Specifies the supremum value for the graph.

• samples ('int', optional) – Default value is 100. Specifies the number of values to test in the domain to approximate the graph. A higher sample value will yield a higher resolution of the graph, but large values will lead to performance issues.

class soft.fuzzy.sets.discrete.DiscreteFuzzySet(formulas: List[tuple], name: str | None = None)

Bases: BaseDiscreteFuzzySet

An ordinary fuzzy set that is of type 1 and level 1.

degree(element: int | float)

Calculates degree of membership for the provided element where element is a(n) int/float.

Parameters:

element ('float') – The element is from the universe of discourse X.

Returns:

mu – The degree of membership for the element.

Return type:

‘float’

height() → float

Calculates the height of the fuzzy set.

Returns:

The height, or supremum, of the fuzzy set.

class soft.fuzzy.sets.discrete.FuzzyVariable(fuzzy_sets: List[BaseDiscreteFuzzySet], name=None)

Bases: BaseDiscreteFuzzySet

A fuzzy variable, or linguistic variable, that contains fuzzy sets.

degree(element: int | float) → Tuple[float]

Calculates the degree of membership for the provided element value where element is a(n) int/float.

Parameters:

element – The element from the universe of discourse.

Returns:

The degree of membership for the element.

plot(lower: float = 0, upper: float = 100, samples: int = 100) -> (<class 'matplotlib.figure.Figure'>, <class 'matplotlib.axes._axes.Axes'>)

Graphs the fuzzy set in the universe of elements.

Parameters:

• lower – Default value is 0. Specifies the infimum value for the graph.

• upper – Default value is 100. Specifies the supremum value for the graph.

• samples – Default value is 100. Specifies the number of values to test in the domain

• resolution (to approximate the graph. A higher sample value will yield a higher)

• graph (of the)

• issues. (but large values will lead to performance)

Returns:

None

Module contents