Package fuzzy :: Package set :: Module PiFunction :: Class PiFunction

Class PiFunction

Realize a Pi-shaped fuzzy set:

           _
          /|\
         / | \
       _/  |  \_
        |  a  |
        |     |
         delta

Instance Methods

[hide private]

__init__(self, a=0.0, delta=1.0)
Initialize a Pi-shaped fuzzy set.

source code

float

__call__(self, x)
Return membership of x in this fuzzy set.

source code

float

getCOG(self)
Return center of gravity.

source code

getValuesX(self)
Return sequence of x-values so we get a smooth function.

source code

string

__repr__(self)
Return representation of instance.

source code

Inherited from Set.Set: getValuesXY

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

Class Variables

[hide private]

Inherited from Function.Function (private): _resolution

Instance Variables

[hide private]

float

a
center of set.

float

delta
absolute distance between x-values for minimum and maximum.

Properties

[hide private]

Inherited from object: __class__

Method Details

[hide private]

init(self, a=0.0, delta=1.0)
(Constructor)

source code

Initialize a Pi-shaped fuzzy set.

Parameters:

a (float) - center of set
delta (float) - absolute distance between x-values for minimum and maximum

Overrides: object.__init__

call(self, x)
(Call operator)

source code

Return membership of x in this fuzzy set. This method makes the set work like a function.

Parameters:

x (float) - value for which the membership is to calculate

Returns: float

membership

Overrides: Set.Set.__call__

getCOG(self)

source code

Return center of gravity.

Returns: float: x-value of center of gravity
Overrides: Set.Set.getCOG

getValuesX(self)

source code

Return sequence of x-values so we get a smooth function.

Overrides: Set.Set.getValuesX

repr(self)
(Representation operator)

source code

Return representation of instance.

Returns: string: representation of instance
Overrides: object.__repr__

Class PiFunction

__init__(self, a=0.0, delta=1.0) (Constructor)

__call__(self, x) (Call operator)

getCOG(self)

getValuesX(self)

__repr__(self) (Representation operator)

init(self, a=0.0, delta=1.0)
(Constructor)

call(self, x)
(Call operator)

repr(self)
(Representation operator)