.BusinessSimulation.Functions.gaussmf

Information

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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

Interface

function gaussmf
  extends BusinessSimulation.Icons.Function;
  input Real x "Input value for which the degree of membership is to be computed";
  input Real a "Half width at half maximum (HWHM)";
  input Real c "Mean value";
  output Real y "Degree of membership";
end gaussmf;