A discussion on aggregation operators

Daniel Gómez; Montero, Javier

Kybernetika (2004)

  • Volume: 40, Issue: 1, page [107]-120
  • ISSN: 0023-5954

Abstract

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It has been lately made very clear that aggregation processes can not be based upon a unique binary operator. Global aggregation operators have been therefore introduced as families of aggregation operators { T n } n , being each one of these T n the n -ary operator actually amalgamating information whenever the number of items to be aggregated is n . Of course, some mathematical restrictions can be introduced, in order to assure an appropriate meaning, consistency and key mathematical capabilities. In this paper we shall discuss these standard conditions, pointing out their respective relevance.

How to cite

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Gómez, Daniel, and Montero, Javier. "A discussion on aggregation operators." Kybernetika 40.1 (2004): [107]-120. <http://eudml.org/doc/33688>.

@article{Gómez2004,
abstract = {It has been lately made very clear that aggregation processes can not be based upon a unique binary operator. Global aggregation operators have been therefore introduced as families of aggregation operators $\lbrace T_n\rbrace _n$, being each one of these $T_n$ the $n$-ary operator actually amalgamating information whenever the number of items to be aggregated is $n$. Of course, some mathematical restrictions can be introduced, in order to assure an appropriate meaning, consistency and key mathematical capabilities. In this paper we shall discuss these standard conditions, pointing out their respective relevance.},
author = {Gómez, Daniel, Montero, Javier},
journal = {Kybernetika},
keywords = {aggregation rules; logical connectives; fuzzy sets; aggregation rule; logical connective; fuzzy set},
language = {eng},
number = {1},
pages = {[107]-120},
publisher = {Institute of Information Theory and Automation AS CR},
title = {A discussion on aggregation operators},
url = {http://eudml.org/doc/33688},
volume = {40},
year = {2004},
}

TY - JOUR
AU - Gómez, Daniel
AU - Montero, Javier
TI - A discussion on aggregation operators
JO - Kybernetika
PY - 2004
PB - Institute of Information Theory and Automation AS CR
VL - 40
IS - 1
SP - [107]
EP - 120
AB - It has been lately made very clear that aggregation processes can not be based upon a unique binary operator. Global aggregation operators have been therefore introduced as families of aggregation operators $\lbrace T_n\rbrace _n$, being each one of these $T_n$ the $n$-ary operator actually amalgamating information whenever the number of items to be aggregated is $n$. Of course, some mathematical restrictions can be introduced, in order to assure an appropriate meaning, consistency and key mathematical capabilities. In this paper we shall discuss these standard conditions, pointing out their respective relevance.
LA - eng
KW - aggregation rules; logical connectives; fuzzy sets; aggregation rule; logical connective; fuzzy set
UR - http://eudml.org/doc/33688
ER -

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