IEEE Systems, Man and Cybernetics Magazine - April 2021 - 4

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Ordered
Weighted
Averaging
Operators
A Short Review
by Orsolya Csiszár

A

ggregation is the process of combining
several numerical values into a single representative one, a procedure called an aggregation function. Despite the simplicity of
this definition, the size of the field of its
applications is incredibly huge. Making decisions (in also
artificial intelligence) often leads to aggregating preferences
or scores on a given set of alternatives. The concept of the
ordered weighted averaging (OWA) operator, a symmetric
aggregation function that allocates weights according to the
Digital Object Identifier 10.1109/MSMC.2020.3036378
Date of current version: 20 April 2021

4	

IEEE SYSTEMS, MAN, & CYBERNETICS MAGAZINE Apri l 2021

input value and unifies in one operator the conjunctive and
disjunctive behavior, was introduced by Yager in 1988. Since
then, these functions have been axiomatized and extended
in various ways. OWA operators provide a parameterized
family of aggregation functions, including many of the wellknown operators. This function has attracted the interest of
several researchers, and therefore, a considerable number
of articles in which its properties are studied and its applications are investigated have been published. The development of an appropriate methodology for obtaining the
weights is still an issue of great interest. This work provides
a short review of OWA operators and gives an overview of
some of the most significant results.
2333-942X/21©2021IEEE


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IEEE Systems, Man and Cybernetics Magazine - April 2021

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