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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

y = gaussmf(x, a, c)

x	Type: Real Description: Input value for which the degree of membership is to be computed
a	Type: Real Description: Half width at half maximum (HWHM)
c	Type: Real Description: Mean value

y	Type: Real Description: Degree of membership