2026-07-26T01:29:11Zhttps://docta.ucm.es/rest/oai/request

oai:docta.ucm.es:20.500.14352/609232024-11-26T14:01:17Zcom_20.500.14352_14col_20.500.14352_21

A discussion on consistency of global aggregation operators Gómez González, Daniel Montero De Juan, Francisco Javier Calvo, T. Garcia, E. Lazaro, J. Several authors have introduced global aggregation operators as families of aggregation operators fTngn, being each one of these Tn the n-ary operator in charge of aggregation, if and only if the number of items being actually aggregated is n. But according to this general de¯nition, it is clear that operators within the same family may be not related at all. In this paper we shall point out the absolute need of an additional condition allowing some kind of consistency for such a family of operators, in order to be considered an aggregation rule. In particular, we shall discuss some advantages and limits of the concept of recursiveness, which basically assumes that the aggregation can be worked out by means of a recursive process. A comparative analysis with some alternative consistency conditions is also presented. 2023-06-20T21:11:24Z 2023-06-20T21:11:24Z 2023-06-20T21:11:24Z 2003 book part https://hdl.handle.net/20.500.14352/60923 XXXX-XXXX eng BFM2002-0281 open access Universidad de Alcalá