Revistes Catalanes amb Accés Obert (RACO)

Generation of multi-dimensional aggregation functions

Margarita Mas Grimalt, Gaspar Mayor Forteza, Jaume Suñer Llabrés, Joan Torrens Sastre

Resum


In this paper we study two ways of generating multi-dimensional
aggregation functions. First of all we obtain multi-dimensional OWA
operators in two different ways, one of them through quantifiers and
the other through sequences. In the first case, we see that all the
operators we obtain are multi-dimensional aggregation functions. We
then characterize the multi-dimensional aggregation functions that are
generated by quantifiers.
In the second case, we characterize the sequences that provide
multi-dimensional aggregation functions and give examples and
properties.

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