# Prod. Sigmoidal MF

Product of two sigmoid membership functions in Simulink software

## Description

The Prod. Sigmoidal MF block implements a membership function based on the product of two sigmoidal curves. The two sigmoidal curves are given by

${f}_{k}\left(x\right)=\frac{1}{1+\mathrm{exp}\left(-{a}_{k}\left(x-{c}_{k}\right)\right)}$

where k=1,2 The parameters a1 and a2 control the slopes of the left and right curves. The parameters c1 and c2 control the points of inflection for the left and right curves. Parameters a1 and a2 should be positive and negative respectively.

`psigmf`