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# psigmf

Product of two sigmoidal membership functions

## Syntax

```y = psigmf(x,[a1 c1 a2 c2])
```

## Description

The sigmoid curve plotted for the vector x depends on two parameters a and c as given by

$f\left(x;a,c\right)=\frac{1}{1+{e}^{-a\left(x-c\right)}}$

psigmf is simply the product of two such curves plotted for the values of the vector x

 f1(x; a1, c1) × f2(x; a2, c2)

The parameters are listed in the order [a1 c1 a2 c2].

## Examples

expand all

### Product of Two Sigmoidal Membership Functions

```x = 0:0.1:10;
y = psigmf(x,[2 3 -5 8]);
plot(x,y)
xlabel('psigmf, P=[2 3 -5 8]')
ylim([-0.05 1.05])
```