Some characterizations of lattice OWA operators

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funtional_characterization_final.pdf (317.55 KB)

Date

2017

Authors

Director

Publisher

World Scientific Publishing Company
Acceso abierto / Sarbide irekia
Artículo / Artikulua
Versión aceptada / Onetsi den bertsioa

Project identifier

ES/1PE/TIN2016-77356
Impacto
4
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Abstract

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.

Description

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

Keywords

OWA operator, Lattice operators, Distributive lattices, Aggegation functions

Department

Automática y Computación / Automatika eta Konputazioa / Matemáticas / Matematika

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Degree

Doctorate program

URI

https://academica-e.unavarra.es/handle/2454/26679
https://doi.org/10.1142/S0218488517400013

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© World Scientific Publishing Company

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