Some characterizations of lattice OWA operators
Fecha
2017Autor
Versión
Acceso abierto / Sarbide irekia
Tipo
Artículo / Artikulua
Versión
Versión aceptada / Onetsi den bertsioa
Identificador del proyecto
ES/1PE/TIN2016-77356
Impacto
|
10.1142/S0218488517400013
Resumen
Ordered Weighted Averaging (OWA) operators are a family of aggregation which fusion data. If the data are real numbers, then OWA operators can be characterized either as an special kind of Choquet integral or simply as an arithmetic mean of the given values previously ordered. This paper analyzes the possible generalizations of these characterizations when OWA operators are de ned on a complete l ...
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Ordered Weighted Averaging (OWA) operators are a family of aggregation which fusion data. If the data are real numbers, then OWA operators can be characterized either as an special kind of Choquet integral or simply as an arithmetic mean of the given values previously ordered. This paper analyzes the possible generalizations of these characterizations when OWA operators are de ned on a complete lattice. In addition, the set of all n -ary OWA operators is studied as a sublattice of the lattice of all the n -ary aggregation functions de ned on a distributive lattice. [--]
Materias
OWA operator,
Lattice operators,
Distributive lattices,
Aggegation functions
Editor
World Scientific Publishing Company
Publicado en
International Journal of Uncertainty, Fuzziness and knowledge-Based Systems, vol. 25, Suppl. 19 (December 2017), pp. 5-17
Notas
Electronic version of an article published as International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems Vol. 25, Suppl. 1 (December 2017) 5-17 DOI:10.1142/S0218488517400013 © World Scientific Publishing Company http://www.worldscientific.com/worldscinet/ijufks
Departamento
Universidad Pública de Navarra. Departamento de Automática y Computación /
Nafarroako Unibertsitate Publikoa. Automatika eta Konputazioa Saila /
Universidad Pública de Navarra. Departamento de Matemáticas /
Nafarroako Unibertsitate Publikoa. Matematika Saila
Versión del editor
Entidades Financiadoras
The work has been supported by the Research Services of the Universidad Publica
de Navarra, and by the research project TIN2016-77356-P from the Government of
Spain.