Linear

Linear

Bases: Term

Linear polynomial term.

Equation

\(\mu(x)= \mathbf{c}\mathbf{v}+k = \sum_i c_iv_i + k\)

where

• \(x\): irrelevant
• \(\mathbf{v}\): vector of values from the input variables
• \(\mathbf{c}\) vector of coefficients for the input variables
• \(k\) is a constant

Attributes

coefficients instance-attribute

coefficients = list(coefficients or [])

engine instance-attribute

engine = engine

Functions

__init__

__init__(name: str = '', coefficients: Sequence[float] | None = None, engine: Engine | None = None) -> None

Constructor.

Parameters:

Name	Type	Description	Default
name	str	name of the term	''
coefficients	Sequence[float] | None	coefficients for the input variables (plus constant \(k\), optionally)	None
engine	Engine | None	engine with the input variables	None

__repr__

__repr__() -> str

Return the code to construct the term in Python.

Returns:

Type	Description
str	code to construct the term in Python.

configure

configure(parameters: str) -> None

Configure the term with the parameters.

Parameters:

Name	Type	Description	Default
parameters	str	coefficients c1 ... cn k.	required

membership

membership(x: Scalar) -> Scalar

Compute the membership function evaluated at \(x\).

Parameters:

Name	Type	Description	Default
x	Scalar	scalar	required

Returns:

Type	Description
Scalar	\(\mu(x)=\sum_i c_iv_i + k\)

Raises:

Type	Description
ValueError	when the number of coefficients (+1) is different from the number of input variables

parameters

parameters() -> str

Return the parameters of the term.

Returns:

Type	Description
str	c1 ... cn k.

update_reference

update_reference(engine: Engine | None) -> None

Set the reference to the engine.

Parameters:

Name	Type	Description	Default
engine	Engine | None	engine with the input variables	required