[Octave-bug-tracker] [bug #56008] [octave forge] (fuzzy-logic-toolkit) defuzz provides inaccurate result

[L. Markowsky]

Follow-up Comment #3, bug #56008 (project octave):

Thanks for your bug report. As Doug wrote in 2019, fuzzy logic doesn't depend
on precise accuracy, so either calculation will work just fine. But to answer
your question, trapz was used because we're finding the x-coordinate of the
centroid of a region defined by a set of points, that is, the centroid of an
area for which the x-axis is continuous, which is defined by a quotient of two
integrals. For your example, the centroid is 4.0870. The calculation you give
is for the centroid of discrete points, not a continuous area, but either is
just fine, and in the limit, they should converge. It's interesting to note
that matlab, according to its online documentation, uses your formula, which
is likely also more efficient. In the next release, I'll offer both versions
of the centroid defuzz method. Thanks again for your input.

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