Computable Aggregations

In this paper, we postulate computation as a key element in assuring the consistency of a family of aggregation functions so that such a family of operators can be considered an aggregation rule. In particular, we suggest that the concept of an aggregation rule should be defined from a computational...

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Detalles Bibliográficos
Autores: Montero De Juan, Francisco Javier, González Del Campo Rodríguez Barbero, Ramón, Garmendia Salvador, Luis, Gómez González, Daniel, Rodríguez González, Juan Tinguaro
Tipo de recurso: artículo
Fecha de publicación:2017
País:España
Institución:Universidad Complutense de Madrid (UCM)
Repositorio:Docta Complutense
Idioma:inglés
OAI Identifier:oai:docta.ucm.es:20.500.14352/18168
Acceso en línea:https://hdl.handle.net/20.500.14352/18168
Access Level:acceso abierto
Palabra clave:519.21
Aggregation operator
Aggregation function
Aggregation rule
Probabilidades (Matemáticas)
Descripción
Sumario:In this paper, we postulate computation as a key element in assuring the consistency of a family of aggregation functions so that such a family of operators can be considered an aggregation rule. In particular, we suggest that the concept of an aggregation rule should be defined from a computational point of view, focusing on the computational properties of such an aggregation, i.e., on the manner in which the aggregation values are computed. The new algorithmic definition of aggregation we propose provides an operational approach to aggregation, one that is based upon lists of variable length and that produces a solution even when portions of data are inserted or deleted. Among other advantages, this approach allows the construction of different classifications of aggregation rules according to the programming paradigms used for their computation or according to their computational complexity.