[Octave-bug-tracker] [bug #56008] defuzz provides inaccurate result

[Luis]

URL:
  <https://savannah.gnu.org/bugs/?56008>

                 Summary: defuzz provides inaccurate result
                 Project: GNU Octave
            Submitted by: lalucas_1967
            Submitted on: Wed 27 Mar 2019 02:18:05 PM UTC
                Category: Octave Forge Package
                Severity: 3 - Normal
                Priority: 5 - Normal
              Item Group: Inaccurate Result
                  Status: None
             Assigned to: None
         Originator Name: 
        Originator Email: 
             Open/Closed: Open
         Discussion Lock: Any
                 Release: 5.1.0
        Operating System: GNU/Linux

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Details:


Why did you implement defuzz with an approximated approach (by means of the
trapz integral) if an exact approach exist? 

Consider the following example:

X=[3;4;5];
params=[1 4.5 5 6];
Y=trapmf(X,params);
defuzz(X,Y,'centroid')

which provides 4.1304, but the exact result is

X'*Y/sum(Y)

which is 4.1765.






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