# Documentation

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# Generalized Bell MF

Generalized bell membership function in Simulink software

## Description

The Generalized Bell MF block implements a membership function in Simulink® based on a generalized bell-shaped curve. The generalized bell-shaped curve is given by

`$f\left(x\right)=\frac{1}{1+{|\frac{x-c}{a}|}^{2b}}$`

where the parameters a and b vary the width of the curve and the parameter c locates the center of the curve. The parameter b should be positive.