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The function returns the degree of membership using a triangular function given the real input x and the parameters lower bound of the support a, the upper bound of the support c and the peak or core value b.

Implementation

y := max(min((x - a) / (b - a), (c - x) / (c - b)), 0);

Syntax

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

Examples

Functions.trimf( 5, a=2, b=5, c=8); // 1.0
Functions.trimf( 1, a=2, b=5, c=8); // 0.0
Functions.trimf( 9, a=2, b=5, c=8); // 0.0

See also

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

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

x	Type: Real Description: Input value for which the degree of membership is to be computed
a	Type: Real Description: Lower bound (i.e., f(a) = 0)
b	Type: Real Description: Peak (i.e., f(b) = 1)
c	Type: Real Description: Upper bound (i.e., f(c) = 0)

y	Type: Real Description: Degree of membership