trimf

Triangular membership function

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Syntax

y = trimf(x,params)

Description

This function computes fuzzy membership values using a triangular membership function. You can also compute this membership function using a fismf object. For more information, see fismf Object.

This membership function is related to the trapmf membership function.

example

y = trimf(x,params) returns fuzzy membership values computed using the following triangular membership function:

f(x;a,b,c)={0,x≤ax−ab−a,a≤x≤bc−xc−b,b≤x≤c0,c≤x}

or, more compactly:

f(x;a,b,c)=max(min(x−ab−a,c−xc−b),o)

To specify the parameters, a, b, and c, use params.

Membership values are computed for each input value in x.

Examples

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Open Live Script
x = 0:0.1:10;
y = trimf(x,[3 6 8]);
plot(x,y)
xlabel('trimf, P = [3 6 8]')
ylim([-0.05 1.05])

Input Arguments

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Input values for which to compute membership values, specified as a scalar or vector.

Membership function parameters, specified as the vector [a b c]. Parameters a and c define the feet of the membership function, and b defines its peak.

Output Arguments

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Membership value returned as a scalar or a vector. The dimensions of y match the dimensions of x. Each element of y is the membership value computed for the corresponding element of x.

Alternative Functionality

fismf Object

You can create and evaluate a fismf object that implements the trimf membership function.

mf = fismf("trimf",P);
Y = evalmf(mf,X);

Here, X, P, and Y correspond to the x, params, and y arguments of trimf, respectively.

Extended Capabilities

C/C++ Code Generation
Generate C and C++ code using MATLAB® Coder™.

See Also

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Topics

Introduced before R2006a

Fuzzy Logic Toolbox Documentation

Support