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The function returns the degree of membership using a generalized bell-shaped function given the real input x and the parameters width of core a, shape parameter b, and the center value c.

Implementation

y := 1 / (1 + abs((x - c) / a) ^ (2 * b));

Syntax

Functions.gbellmf(x, a, b, c);

Examples

Functions.gbellmf( 6, a=2, b=4, c=6); // 1.0
Functions.gbellmf( 4, a=2, b=4, c=6); // 0.5
Functions.gbellmf( 8, a=2, b=4, c=6); // 0.5

See also

evalmf, rampmf, trimf trapmf, smf, sigmf, pimf, psigmf, gaussmf,

y = gbellmf(x, a, b, c)

x	Type: Real Description: Input value for which the degree of membership is to be computed
a	Type: Real Description: Width of core (i.e., the interval for which the function gives 1)
b	Type: Real Description: Shape parameter (larger values → steeper transition
c	Type: Real Description: Center of membership function

y	Type: Real Description: Degree of membership