Miguel Turullols, Laura dePaternain Dallo, DanielLizasoain Iriso, María InmaculadaOchoa Lezaun, GustavoBustince Sola, Humberto2018-01-092018-12-0120170218-4885 (Print)1793-6411 (Electronic)10.1142/S0218488517400013https://academica-e.unavarra.es/handle/2454/26679Electronic 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/ijufksOrdered 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.application/pdfeng© World Scientific Publishing CompanyOWA operatorLattice operatorsDistributive latticesAggegation functionsinfo:eu-repo/semantics/articleinfo:eu-repo/semantics/openAccess