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Slides for Fuzzy Sets, Ch. 2 of Neuro-Fuzzy and Soft Computing

Slides for Fuzzy Sets, Ch. 2 of Neuro-Fuzzy and Soft Computing

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<strong>Neuro</strong>-<strong>Fuzzy</strong> <strong>and</strong> S<strong>of</strong>t <strong>Computing</strong>: <strong>Fuzzy</strong> <strong>Sets</strong><br />

Least-Square Estimators<br />

We have m outputs & n fitting parameters to find (or m<br />

equations & n unknown variables)<br />

Usually, m is greater than n, since the model is just an<br />

approximation <strong>of</strong> the target system <strong>and</strong> the data<br />

observed might be corrupted. There<strong>for</strong>e, an exact<br />

solution is not always possible.<br />

To overcome this inherent conceptual problem, an error<br />

vector e is added to compensate<br />

A θ + e = y<br />

14

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