formula for exponential membership function
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what is the formula of exponential membership function . How it differs from Gaussian membership function
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Technically, it is called the Laplace distribution, or the double exponential distribution. The Gaussian MF has a rounded peak, whereas the Laplacian MF has a pointy peak.
x = linspace(-1, 1, 2001);
% Gaussian distribution
b1 = 1/4;
c1 = 0;
mu1 = gaussmf(x, [b1, c1]);
% Laplacian distribution
b2 = 1/8;
c2 = c1;
mu2 = exp(- 1/2*abs((x - c2)/b2));
plot(x, [mu1; mu2]), grid on
xlabel('x');
ylabel('Degree of membership');
legend('gaussMF', 'laplaceMF')
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