Package fuzz :: Module fnumber :: Class TrapezoidalFuzzyNumber

Class TrapezoidalFuzzyNumber

 object --+    
          |    
FuzzyNumber --+
              |
             TrapezoidalFuzzyNumber

Known Subclasses:

TriangularFuzzyNumber

Trapezoidal fuzzy number class.

Instance Methods

[hide private]

__init__(self, kernel=(0.0, 0.0), support=(0.0, 0.0))
Constructor. source code

TrapezoidalFuzzyNumber

__add__(self, other)
Addition operation.

source code

TrapezoidalFuzzyNumber

__sub__(self, other)
Subtraction operation.

source code

mu(self, value)
Return the membership level of a value in the universal set domain of the fuzzy number.

source code

RealRange

alpha(self, alpha)
Alpha cut function.

source code

PolygonalFuzzyNumber

to_polygonal(self)
Convert this trapezoidal fuzzy number into a polygonal fuzzy number.

source code

Inherited from FuzzyNumber: __and__, __iand__, __ior__, __or__, __repr__, __str__, intersection, normalize, union

Inherited from object: __delattr__, __format__, __getattribute__, __hash__, __new__, __reduce__, __reduce_ex__, __setattr__, __sizeof__, __subclasshook__

Static Methods

[hide private]

Inherited from FuzzyNumber (private): _binary_sanity_check

Class Variables

[hide private]

Inherited from FuzzyNumber: height, kernel, support

Properties

[hide private]

bool triangular
Report if this is a triangular fuzzy number (kernel has zero size).

Inherited from object: __class__

Method Details

[hide private]

init(self, kernel=`(`0.0`,` 0.0`)`, support=`(`0.0`,` 0.0`)`)
(Constructor)

source code

Constructor.

Parameters:

kernel (tuple) - The kernel of the fuzzy number.
support (tuple) - The support of the fuzzy number.

Overrides: object.__init__

add(self, other)
(Addition operator)

source code

Addition operation.

Parameters:

other (TrapezoidalFuzzyNumber) - The other trapezoidal fuzzy number.

Returns: TrapezoidalFuzzyNumber

Sum of the trapezoidal fuzzy numbers.

sub(self, other)
(Subtraction operator)

source code

Subtraction operation.

Parameters:

other (TrapezoidalFuzzyNumber) - The other trapezoidal fuzzy number.

Returns: TrapezoidalFuzzyNumber

Difference of the trapezoidal fuzzy numbers.

mu(self, value)

source code

Return the membership level of a value in the universal set domain of the fuzzy number.

Parameters:

value (float) - A value in the universal set.

Overrides: FuzzyNumber.mu

alpha(self, alpha)

source code

Alpha cut function. Returns the interval within the fuzzy number whose membership levels meet or exceed the alpha value.

Parameters:

alpha (float) - The alpha value for the cut in [0, 1].

Returns: RealRange

The alpha cut interval.

to_polygonal(self)

source code

Convert this trapezoidal fuzzy number into a polygonal fuzzy number.

Returns: PolygonalFuzzyNumber: Result polygonal fuzzy number.
Overrides: FuzzyNumber.to_polygonal

Property Details

[hide private]

triangular

Report if this is a triangular fuzzy number (kernel has zero size).

Get Method:: unreachable.triangular(self) - Report if this is a triangular fuzzy number (kernel has zero size).
Type:: bool

Class TrapezoidalFuzzyNumber

__init__(self, kernel=(0.0, 0.0), support=(0.0, 0.0)) (Constructor)

__add__(self, other) (Addition operator)

__sub__(self, other) (Subtraction operator)

mu(self, value)

alpha(self, alpha)

to_polygonal(self)

triangular

init(self, kernel=`(`0.0`,` 0.0`)`, support=`(`0.0`,` 0.0`)`)
(Constructor)

add(self, other)
(Addition operator)

sub(self, other)
(Subtraction operator)