PROCEEDINGS IPMU '08
WOWA Enhancement of the Reference Point Method
Wlodzimierz Ogryczak.
The Reference Point Method (RPM)
is based on the so-called augmented
max-min aggregation where
the worst individual achievement
maximization process is additionally
regularized with the average
achievement. The regularization by
the average achievement is easily
implementable but it may disturb
the basic max-min model. The
OWA regularization applied to the
RPM allows one to overcome this
flaw since taking into account differences
among all ordered achievement
values. Further, allowing to introduce
importance weights we get
the WOWA enhanced RPM. The
WOWA regularization is more complicated
in implementation but the
recent progress made in optimization
methods for ordered averages
allows one to implement the corresponding
RPM method effectively.
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