Re: looking for defuzzification methods


Subject: Re: looking for defuzzification methods
From: Mike Nachtegael (mike.nachtegael@rug.ac.be)
Date: Fri Apr 07 2000 - 16:52:23 MET DST


> Im searching for different defuzzification methods but in most of the
> books and reports I read, there`re only description of the standart
> methods "Maximum" and "Centroid".

I would refer to Fuzzy Sets and Systems, Vol. 108 (1999), pp. 159-178. In
that paper, Van Leekwijck and Kerre investigate and classify several
defuzzification methods. In particular, the following methods are
considered:

- RCOM (random choice of maximum)
- FOM (first of maximum)
- LOM (last of maximum)
- MOM (middle of maximum)
- COG (center of gravity)
- MeOM (mean of maxima)
- BADD (basic defuzzification distributions)
- GLSD (generalized level set defuzzification)
- ICOG (indexed center of gravity)
- SLIDE (semi-linear defuzzification)
- FM (fuzzy mean)
- WFM (weighted fuzzy mean)
- QM (quality method)
- EQM (extended quality method)
- COA (center of area)
- ECOA (extended center of area)
- CDD (constraint decision defuzzification)
- FCD (fuzzy clustering defuzzification)

Remark: In a paper that is to appear in Fuzzy Sets and Systems, both authors
discuss a new defuzzification method, called "Continuity focused choice of
maxima".

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