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NilpotentMinimum

NilpotentMinimum

Bases: TNorm

TNorm to compute the nilpotent minimum of any two values.

Equation

\(a \otimes b=\begin{cases} \min(a,b) & \mbox{if }a+b>1 \cr 0 & \mbox{otherwise} \end{cases}\)

related

Functions

compute

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

Compute the nilpotent minimum 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

\(a \otimes b=\begin{cases} \min(a,b) & \mbox{if }a+b>1 \cr 0 & \mbox{otherwise} \end{cases}\)