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Mistake in Linear z-shaped membership funciton

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Mateusz
Mateusz 2024-8-29
编辑： Sahas 2024-8-30
https://www.mathworks.com/help/fuzzy/linzmf.html
There is a mistake in the description of Linear z-shaped membership function.
it should be:
(b-x)/(b-a) for a<=x<=b
otherwise you've got for a^- -> 1, for a^+ -> 0
  1 个评论
Sahas
Sahas 2024-8-30
编辑：Sahas 2024-8-30
Hi @Mateusz,
I downloaded the pre-release version of MATLAB R2024b and checked the documentation. It appears that MathWorks has already resolved this issue.

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回答（1 个）

Sam Chak
Sam Chak 2024-8-30
Ran in:
Hi @Mateusz
You can navigate to "Contact Support" and, under "Product Usage," submit a suggestion to correct the information. The document writer was likely considering the mathematical aspects when preparing the documentation, which may have led to confusion with the correct piecewise equation.
x = linspace(-1, 1, 2001);
a = x(1);
b = x(end);
y = max(-1, min(1, -3*x)); % ideal saturation function with negative slope
mf = (a - y)./(a - b); % membership function
tl = tiledlayout(2, 1, 'TileSpacing', 'Compact');
nexttile
plot(x, y), grid on, ylabel('y'), ylim([-1.4, 1.4])
yline(0, 'r-.')
title('ideal saturation function with negative slope')
nexttile
plot(x, mf), grid on, ylabel('\mu'), ylim([-0.2, 1.2])
yline(0, 'r-.')
xlabel(tl, 'x')
title('NEG fuzzy set of ideal saturation function')

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