Binary

Binary

Bases: Term

Edge Term that represents the binary membership function.

Equation

\(\mu(x) = \begin{cases} h & \mbox{if } (d=\infty \wedge x \ge s) \vee (d=-\infty \wedge x \le s) \cr 0 & \mbox{otherwise} \end{cases}\)

where

• \(h\): height of the Term
• \(s\): start of the Binary
• \(d\): direction of the Binary

Attributes

direction instance-attribute

direction = direction

start instance-attribute

start = start

Functions

__init__

__init__(name: str = '', start: float = nan, direction: float = nan, height: float = 1.0) -> None

Constructor.

Parameters:

Name	Type	Description	Default
name	str	name of the Term	''
start	float	start of the Binary	nan
direction	float	direction of the Binary (-inf, inf)	nan
height	float	height of the Term	1.0

configure

configure(parameters: str) -> None

Configure the term with the parameters.

Parameters:

Name	Type	Description	Default
parameters	str	start direction [height].	required

membership

membership(x: Scalar) -> Scalar

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

Parameters:

Name	Type	Description	Default
x	Scalar	scalar	required

Returns:

Type	Description
Scalar	\(\mu(x) = \begin{cases} h & \mbox{if } (d=\infty \wedge x \ge s) \vee (d=-\infty \wedge x \le s) \cr 0 & \mbox{otherwise} \end{cases}\)

parameters

parameters() -> str

Return the parameters of the term.

Returns:

Type	Description
str	start direction [height].