HamacherSum

HamacherSum ¶

Bases: SNorm

SNorm to compute the Hamacher sum of any two values.

Equation

\(a \oplus b=\dfrac{a+b-2(\times a \times b)}{1-a\times b}\)

compute(a: Scalar, b: Scalar) -> Scalar

Compute the Hamacher sum of two membership function values.

Parameters:

Name	Type	Description	Default
`a`	`Scalar`	membership function value	required
`b`	`Scalar`	membership function value	required

Returns:

Type	Description
`Scalar`	\(a \oplus b=\dfrac{a+b-2(\times a \times b)}{1-a\times b}\)