functiongaussmf
Gaussian membership function
Extends from BusinessSimulation.Icons.Function (Icon for functions).
Information
This information is part of the Business Simulation Library (BSL). Please support this work and ► donate.
The function returns the degree of membership using a Gaussian function given the real input x and the parameters half width at half maximum a and mean c.
Implementation
sigma = a / 1.177410022515474691; y := exp(-(x - c) ^ 2 / (2 * sigma ^ 2));
Syntax
Functions.gaussmf(x, a, c);
Examples
Functions.gaussmf( 5, a=2, c=5); // 1.0 Functions.gaussmf( 3, a=2, c=5); // 0.5 Functions.gaussmf( 7, a=2, c=5); // 0.5
See also
evalmf, rampmf, trimf, trapmf, smf, sigmf, pimf, psigmf, gbellmf
Inputs
| Type | Name | Default | Description |
|---|---|---|---|
| Real | x | Input value for which the degree of membership is to be computed | |
| Real | a | Half width at half maximum (HWHM) | |
| Real | c | Mean value |
Outputs
| Type | Name | Default | Description |
|---|---|---|---|
| Real | y | Degree of membership |