# Documentation

## Membership Function Gallery

This example shows how to display 11 membership functions supported in the Fuzzy Logic Toolbox™.

Define membership function names and parameters.

mf_type = {'trapmf','gbellmf','trimf','gaussmf','gauss2mf','smf',...
'zmf','psigmf','dsigmf','pimf','sigmf'};
param = [-19 -17 -12 -7;
3 4 -8 0;
-9 -1 2 0;
3 5 0 0;
3 10 5 13;
11  17   0  0;
-18 -10   0  0;
2 -11 -5 -4;
5 -3 1 5;
0 7 11 15;
2 15 0 0];

For more information on the different membership functions and their parameters, see their respective function reference pages.

Evaluate the membership functions.

x = linspace(-20,20,201);
mf = evalmmf(x, param, char(mf_type));

Plot the evaluated membership functions with labels.

subplot(2,1,1);
plot(x,mf(1:6,:)');
axis([min(x) max(x) 0 1.2]);
text((param(1,2)+param(1,3))/2,1.1,mf_type{1},...
'horizon','center');
text(param(2,3),1.1,mf_type{2},...
'horizon','center');
text(param(3,2),1.1,mf_type{3},...
'horizon','center');
text(param(4,2),1.1,mf_type{4},...
'horizon','center');
text((param(5,2)+param(5,4))/2,1.1,mf_type{5},...
'horizon','center');
text(param(6,2), 1.1,mf_type{6},...
'horizon','center');
h_gca = gca;
h_gca.XTick = [];

subplot(2,1,2);
plot(x,mf(7:11,:)');
axis([min(x) max(x) 0 1.2]);
text(param(7,1),1.1,mf_type{7},...
'horizon','center');
text((param(8,2)+param(8,4))/2,1.1,mf_type{8},...
'horizon','center');
text((param(9,2)+param(9,4))/2,1.1,mf_type{9},...
'horizon','center');
text((param(10,2)+param(10,3))/2,1.1,mf_type{10},...
'horizon','center');
text(param(11,2),1.1,mf_type{11},...
'horizon','center');
h_gca =  gca;
h_gca.XTick = [];