Orness for idempotent aggregation functions

Aggregation functions are mathematical operators that merge given data in order to obtain a global value that preserves the information given by the data as much as possible. In most practical applications, this value is expected to be between the infimum and the supremum of the given data, which is...

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Autores: Legarreta, Leire, Lizasoain Iriso, María Inmaculada, Mardones Pérez, Iraide
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2017
País:España
Institución:Universidad Pública de Navarra
Repositorio:Academica-e. Repositorio Institucional de la Universidad Pública de Navarra
OAI Identifier:oai:academica-e.unavarra.es:2454/26155
Acceso en línea:https://hdl.handle.net/2454/26155
Access Level:acceso abierto
Palabra clave:Aggregation functions
Lattice operators
Idempotence
Orness
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spelling Orness for idempotent aggregation functionsLegarreta, LeireLizasoain Iriso, María InmaculadaMardones Pérez, IraideAggregation functionsLattice operatorsIdempotenceOrnessAggregation functions are mathematical operators that merge given data in order to obtain a global value that preserves the information given by the data as much as possible. In most practical applications, this value is expected to be between the infimum and the supremum of the given data, which is guaranteed only when the aggregation functions are idempotent. Ordered weighted averaging (OWA) operators are particular cases of this kind of function, with the particularity that the obtained global value depends on neither the source nor the expert that provides each datum, but only on the set of values. They have been classified by means of the orness—a measurement of the proximity of an OWA operator to the OR-operator. In this paper, the concept of orness is extended to the framework of idempotent aggregation functions defined both on the real unit interval and on a complete lattice with a local finiteness condition.This work has been partially supported by the research projects MTM2015-63608-P of the Spanish Government and IT974-16 of the Basque Government.MDPIMatematikaInstitute for Advanced Materials and Mathematics - INAMAT2Matemáticas2017info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfhttps://hdl.handle.net/2454/26155reponame:Academica-e. Repositorio Institucional de la Universidad Pública de Navarrainstname:Universidad Pública de NavarraInglésinfo:eu-repo/grantAgreement/MINECO//MTM2015-63608-P© 2017 by the authors; licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license.https://creativecommons.org/licenses/by/4.0/info:eu-repo/semantics/openAccessoai:academica-e.unavarra.es:2454/261552026-06-17T12:41:47Z
dc.title.none.fl_str_mv Orness for idempotent aggregation functions
title Orness for idempotent aggregation functions
spellingShingle Orness for idempotent aggregation functions
Legarreta, Leire
Aggregation functions
Lattice operators
Idempotence
Orness
title_short Orness for idempotent aggregation functions
title_full Orness for idempotent aggregation functions
title_fullStr Orness for idempotent aggregation functions
title_full_unstemmed Orness for idempotent aggregation functions
title_sort Orness for idempotent aggregation functions
dc.creator.none.fl_str_mv Legarreta, Leire
Lizasoain Iriso, María Inmaculada
Mardones Pérez, Iraide
author Legarreta, Leire
author_facet Legarreta, Leire
Lizasoain Iriso, María Inmaculada
Mardones Pérez, Iraide
author_role author
author2 Lizasoain Iriso, María Inmaculada
Mardones Pérez, Iraide
author2_role author
author
dc.contributor.none.fl_str_mv Matematika
Institute for Advanced Materials and Mathematics - INAMAT2
Matemáticas
dc.subject.none.fl_str_mv Aggregation functions
Lattice operators
Idempotence
Orness
topic Aggregation functions
Lattice operators
Idempotence
Orness
description Aggregation functions are mathematical operators that merge given data in order to obtain a global value that preserves the information given by the data as much as possible. In most practical applications, this value is expected to be between the infimum and the supremum of the given data, which is guaranteed only when the aggregation functions are idempotent. Ordered weighted averaging (OWA) operators are particular cases of this kind of function, with the particularity that the obtained global value depends on neither the source nor the expert that provides each datum, but only on the set of values. They have been classified by means of the orness—a measurement of the proximity of an OWA operator to the OR-operator. In this paper, the concept of orness is extended to the framework of idempotent aggregation functions defined both on the real unit interval and on a complete lattice with a local finiteness condition.
publishDate 2017
dc.date.none.fl_str_mv 2017
dc.type.none.fl_str_mv info:eu-repo/semantics/article
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format article
status_str publishedVersion
dc.identifier.none.fl_str_mv https://hdl.handle.net/2454/26155
url https://hdl.handle.net/2454/26155
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv info:eu-repo/grantAgreement/MINECO//MTM2015-63608-P
dc.rights.none.fl_str_mv https://creativecommons.org/licenses/by/4.0/
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rights_invalid_str_mv https://creativecommons.org/licenses/by/4.0/
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dc.publisher.none.fl_str_mv MDPI
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