How can i generate the rules matrix of a fuzzy system that has two outputs and the outputs are logically combined using the "and" operator. (In MATLAB envirement)?
p--->q and r
The fuzzy system has 3 rules like above. The membership functions are triangular, and the linguistic variables are "Low", "Medium" and "High".
fis = mamfis;
fis = addInput(fis, [0 1], 'Name', 'p');
fis = addMF(fis, 'p', 'trimf', [-0.5 0.0 0.5], 'Name', 'L');
fis = addMF(fis, 'p', 'trimf', [ 0.0 0.5 1.0], 'Name', 'M');
fis = addMF(fis, 'p', 'trimf', [ 0.5 1.0 1.5], 'Name', 'H');
fis = addOutput(fis, [-1 0], 'Name', 'q');
fis = addMF(fis, 'q', 'trimf', [-1.5 -1.0 -0.5], 'Name', 'NB');
fis = addMF(fis, 'q', 'trimf', [-1.0 -0.5 0.0], 'Name', 'NM');
fis = addMF(fis, 'q', 'trimf', [-0.5 0.0 0.5], 'Name', 'NS');
fis = addOutput(fis, [0 1], 'Name', 'r');
fis = addMF(fis, 'r', 'trimf', [-0.5 0.0 0.5], 'Name', 'PS');
fis = addMF(fis, 'r', 'trimf', [ 0.0 0.5 1.0], 'Name', 'PM');
fis = addMF(fis, 'r', 'trimf', [ 0.5 1.0 1.5], 'Name', 'PB');
rules = [...
"p==L => q=NB, r=PS"; ...
"p==M => q=NM, r=PM"; ...
"p==H => q=NS, r=PB"; ...
];
fis = addRule(fis, rules);
figure
subplot(211)
opt1 = gensurfOptions('OutputIndex', 1, 'NumGridPoints', 21);
gensurf(fis, opt1), grid on
subplot(212)
opt2 = gensurfOptions('OutputIndex', 2, 'NumGridPoints', 21);
gensurf(fis, opt2), grid on
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