Abstract: Different types of aggregation operators such as the
ordered weighted quasi-arithmetic mean (Quasi-OWA) operator and
the normalized Hamming distance are studied. We introduce the use
of the OWA operator in generalized distances such as the quasiarithmetic
distance. We will call these new distance aggregation the
ordered weighted quasi-arithmetic distance (Quasi-OWAD) operator.
We develop a general overview of this type of generalization and
study some of their main properties such as the distinction between
descending and ascending orders. We also consider different families
of Quasi-OWAD operators such as the Minkowski ordered weighted
averaging distance (MOWAD) operator, the ordered weighted
averaging distance (OWAD) operator, the Euclidean ordered
weighted averaging distance (EOWAD) operator, the normalized
quasi-arithmetic distance, etc.
Abstract: We study different types of aggregation operators such
as the ordered weighted averaging (OWA) operator and the
generalized OWA (GOWA) operator. We analyze the use of OWA
operators in the Minkowski distance. We will call these new distance
aggregation operator the Minkowski ordered weighted averaging
distance (MOWAD) operator. We give a general overview of this
type of generalization and study some of their main properties. We
also analyze a wide range of particular cases found in this
generalization such as the ordered weighted averaging distance
(OWAD) operator, the Euclidean ordered weighted averaging
distance (EOWAD) operator, the normalized Minkowski distance,
etc. Finally, we give an illustrative example of the new approach
where we can see the different results obtained by using different
aggregation operators.
Abstract: We study the possibility of using geometric operators
in the selection of human resources. We develop three new methods
that use the ordered weighted geometric (OWG) operator in different
indexes used for the selection of human resources. The objective of
these models is to manipulate the neutrality of the old methods so the
decision maker is able to select human resources according to his
particular attitude. In order to develop these models, first a short
revision of the OWG operator is developed. Second, we briefly
explain the general process for the selection of human resources.
Then, we develop the three new indexes. They will use the OWG
operator in the Hamming distance, in the adequacy coefficient and in
the index of maximum and minimum level. Finally, an illustrative
example about the new approach is given.