functiontrapmf
Trapezoidal membership function
Extends from BusinessSimulation.Icons.Function (Icon for functions).
Information
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The function returns the degree of membership using a trapezoidal function given the real input x and the parameters lower bound of the support a, the lower bound of the core b, the upper bound of the core c, and the upper bound of the support d.
Implementation
y := max( min( 1, min( (x - a)/(b - a), (d - x)/(d - c)) ), 0 );
Syntax
Functions.trapmf(x, a, b, c, d);
Examples
Functions.trapmf( 5, a=2, b=4, c=6, d=8); // 1.0 Functions.trapmf( 2, a=2, b=4, c=6, d=8); // 0.0 Functions.trapmf( 9, a=2, b=4, c=6, d=8); // 0.0 Functions.trapmf( 7, a=2, b=4, c=6, d=8); // 0.5
See also
evalmf, rampmf, trimf, smf, sigmf, pimf, psigmf, gaussmf, gbellmf
Inputs
| Type | Name | Default | Description |
|---|---|---|---|
| Real | x | Input value for which the degree of membership is to be computed | |
| Real | a | Lower bound for the support (i.e., f(a) = 0) | |
| Real | b | Lower bound for the core (i.e., f(b) = 1) | |
| Real | c | Upper bound for the core (i.e., f(c) = 1) | |
| Real | d | Upper bound for the support(i.e., f(d) = 0) |
Outputs
| Type | Name | Default | Description |
|---|---|---|---|
| Real | y | Degree of membership |