trapmf

Trapezoidal membership function

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Syntax

y = trapmf(x,params)

Description

This function computes fuzzy membership values using a trapezoidal 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 trimf, linsmf, and linzmf membership functions.

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

f(x;a,b,c,d)=max(min(x−ab−a,1,d−xd−c),0)

To define the membership function parameters, specify params as the vector [a b c d].

Membership values are computed for each input value in x.

example

Examples

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Open Live Script

Specify input values across the universe of discourse.

x = 0:0.1:10;

Evaluate membership function for the input values.

y = trapmf(x,[1 5 7 8]);

Plot the membership function.

plot(x,y)
title("trapmf, P = [1 5 7 8]")
xlabel("x")
ylabel("Degree of Membership")
ylim([-0.05 1.05])

Figure contains an axes object. The axes object with title trapmf, P = [1 5 7 8], xlabel x, ylabel Degree of Membership contains an object of type line.

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 d]. Parameters b and c define the shoulders of the membership function, and a and d define its feet.

The shape of the membership function depends on the relative values of b and c.

  • When c is greater than b, the resulting membership function is trapezoidal.

  • When b is equal to c, the resulting membership function is equivalent to a triangular membership function with parameters [a b d].

  • When c is less than b, the resulting membership function is triangular with a maximum value less than 1.

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 trapmf membership function.

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

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

Extended Capabilities

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

Version History

Introduced before R2006a

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See Also

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