Aggregation operators review-mathematical properties and behavioral measures

Autores
La Red Martínez, David Luis; Acosta, Julio César
Año de publicación
2015
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
Fil: La Red Martínez, David Luis. Universidad Nacional del Nordeste. Facultad de Ciencias Exactas y Naturales y Agrimensura. Departamento de Computación; Argentina.
Fil: Acosta, Julio César. Universidad Nacional del Nordeste. Facultad de Ciencias Exactas y Naturales y Agrimensura. Departamento de Computación; Argentina.
A problem that humans must face very often is that of having to add, melt or synthesize information, that is, combine together a series of data from various sources to reach a certain conclusion or make a certain decision. This involves the use of one or more aggregation operators capable to provide a collective preference relation. These operators must be chosen according to specific criteria taking into account the characteristic properties of each operator. Some conditions to be taken into account to identify them are the following: axiomatic strength, empirical setting, adaptability, numerical efficiency, compensation and compensation range, added behavior and scale level required of the membership functions. It is possible to establish a general list of possible mathematical properties whose verification might be desirable in certain cases: boundary conditions, continuity, not decreasing monotony, symmetry, idempotence, associativity, bisymmetry, selfdistributivity, compensation, homogeneity, translativity, stability, ^-comparability, sensitivity and locally internal functions. For analyze the attitudinal character of the aggregation operator the following measures are studied: disjunction degree (orness), dispersion, balance and divergence. In this paper, a review of these issues is presented.
Fuente
International Journal of Intelligent Systems and Applications, vol. 7, no. 10, p. 63-76.
Materia
Aggregation
Aggregation operators
Behavioral measures of aggregation operators
Intersection operators
OWA operators
Nivel de accesibilidad
acceso abierto
Condiciones de uso
http://creativecommons.org/licenses/by-nc-nd/2.5/ar/
Repositorio
Repositorio Institucional de la Universidad Nacional del Nordeste (UNNE)
Institución
Universidad Nacional del Nordeste
OAI Identificador
oai:repositorio.unne.edu.ar:123456789/29006

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repository_id_str 4871
network_name_str Repositorio Institucional de la Universidad Nacional del Nordeste (UNNE)
spelling Aggregation operators review-mathematical properties and behavioral measuresLa Red Martínez, David LuisAcosta, Julio CésarAggregationAggregation operatorsBehavioral measures of aggregation operatorsIntersection operatorsOWA operatorsFil: La Red Martínez, David Luis. Universidad Nacional del Nordeste. Facultad de Ciencias Exactas y Naturales y Agrimensura. Departamento de Computación; Argentina.Fil: Acosta, Julio César. Universidad Nacional del Nordeste. Facultad de Ciencias Exactas y Naturales y Agrimensura. Departamento de Computación; Argentina.A problem that humans must face very often is that of having to add, melt or synthesize information, that is, combine together a series of data from various sources to reach a certain conclusion or make a certain decision. This involves the use of one or more aggregation operators capable to provide a collective preference relation. These operators must be chosen according to specific criteria taking into account the characteristic properties of each operator. Some conditions to be taken into account to identify them are the following: axiomatic strength, empirical setting, adaptability, numerical efficiency, compensation and compensation range, added behavior and scale level required of the membership functions. It is possible to establish a general list of possible mathematical properties whose verification might be desirable in certain cases: boundary conditions, continuity, not decreasing monotony, symmetry, idempotence, associativity, bisymmetry, selfdistributivity, compensation, homogeneity, translativity, stability, ^-comparability, sensitivity and locally internal functions. For analyze the attitudinal character of the aggregation operator the following measures are studied: disjunction degree (orness), dispersion, balance and divergence. In this paper, a review of these issues is presented.Modern Education and Computer Science Press2015info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfLa Red Martínez, David Luis. y Acosta, Julio César., 2015. Aggregation operators review-mathematical properties and behavioral measures. International Journal of Intelligent Systems and Applications. Hong Kong: Modern Education and Computer Science Press, vol. 7, no. 10, p. 63-76. ISSN 2074-9058.2074-9058http://repositorio.unne.edu.ar/handle/123456789/29006International Journal of Intelligent Systems and Applications, vol. 7, no. 10, p. 63-76.reponame:Repositorio Institucional de la Universidad Nacional del Nordeste (UNNE)instname:Universidad Nacional del Nordesteenginfo:eu-repo/semantics/openAccesshttp://creativecommons.org/licenses/by-nc-nd/2.5/ar/Atribución-NoComercial-SinDerivadas 2.5 Argentina2025-09-29T14:31:03Zoai:repositorio.unne.edu.ar:123456789/29006instacron:UNNEInstitucionalhttp://repositorio.unne.edu.ar/Universidad públicaNo correspondehttp://repositorio.unne.edu.ar/oaiososa@bib.unne.edu.ar;sergio.alegria@unne.edu.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:48712025-09-29 14:31:04.179Repositorio Institucional de la Universidad Nacional del Nordeste (UNNE) - Universidad Nacional del Nordestefalse
dc.title.none.fl_str_mv Aggregation operators review-mathematical properties and behavioral measures
title Aggregation operators review-mathematical properties and behavioral measures
spellingShingle Aggregation operators review-mathematical properties and behavioral measures
La Red Martínez, David Luis
Aggregation
Aggregation operators
Behavioral measures of aggregation operators
Intersection operators
OWA operators
title_short Aggregation operators review-mathematical properties and behavioral measures
title_full Aggregation operators review-mathematical properties and behavioral measures
title_fullStr Aggregation operators review-mathematical properties and behavioral measures
title_full_unstemmed Aggregation operators review-mathematical properties and behavioral measures
title_sort Aggregation operators review-mathematical properties and behavioral measures
dc.creator.none.fl_str_mv La Red Martínez, David Luis
Acosta, Julio César
author La Red Martínez, David Luis
author_facet La Red Martínez, David Luis
Acosta, Julio César
author_role author
author2 Acosta, Julio César
author2_role author
dc.subject.none.fl_str_mv Aggregation
Aggregation operators
Behavioral measures of aggregation operators
Intersection operators
OWA operators
topic Aggregation
Aggregation operators
Behavioral measures of aggregation operators
Intersection operators
OWA operators
dc.description.none.fl_txt_mv Fil: La Red Martínez, David Luis. Universidad Nacional del Nordeste. Facultad de Ciencias Exactas y Naturales y Agrimensura. Departamento de Computación; Argentina.
Fil: Acosta, Julio César. Universidad Nacional del Nordeste. Facultad de Ciencias Exactas y Naturales y Agrimensura. Departamento de Computación; Argentina.
A problem that humans must face very often is that of having to add, melt or synthesize information, that is, combine together a series of data from various sources to reach a certain conclusion or make a certain decision. This involves the use of one or more aggregation operators capable to provide a collective preference relation. These operators must be chosen according to specific criteria taking into account the characteristic properties of each operator. Some conditions to be taken into account to identify them are the following: axiomatic strength, empirical setting, adaptability, numerical efficiency, compensation and compensation range, added behavior and scale level required of the membership functions. It is possible to establish a general list of possible mathematical properties whose verification might be desirable in certain cases: boundary conditions, continuity, not decreasing monotony, symmetry, idempotence, associativity, bisymmetry, selfdistributivity, compensation, homogeneity, translativity, stability, ^-comparability, sensitivity and locally internal functions. For analyze the attitudinal character of the aggregation operator the following measures are studied: disjunction degree (orness), dispersion, balance and divergence. In this paper, a review of these issues is presented.
description Fil: La Red Martínez, David Luis. Universidad Nacional del Nordeste. Facultad de Ciencias Exactas y Naturales y Agrimensura. Departamento de Computación; Argentina.
publishDate 2015
dc.date.none.fl_str_mv 2015
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv La Red Martínez, David Luis. y Acosta, Julio César., 2015. Aggregation operators review-mathematical properties and behavioral measures. International Journal of Intelligent Systems and Applications. Hong Kong: Modern Education and Computer Science Press, vol. 7, no. 10, p. 63-76. ISSN 2074-9058.
2074-9058
http://repositorio.unne.edu.ar/handle/123456789/29006
identifier_str_mv La Red Martínez, David Luis. y Acosta, Julio César., 2015. Aggregation operators review-mathematical properties and behavioral measures. International Journal of Intelligent Systems and Applications. Hong Kong: Modern Education and Computer Science Press, vol. 7, no. 10, p. 63-76. ISSN 2074-9058.
2074-9058
url http://repositorio.unne.edu.ar/handle/123456789/29006
dc.language.none.fl_str_mv eng
language eng
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
http://creativecommons.org/licenses/by-nc-nd/2.5/ar/
Atribución-NoComercial-SinDerivadas 2.5 Argentina
eu_rights_str_mv openAccess
rights_invalid_str_mv http://creativecommons.org/licenses/by-nc-nd/2.5/ar/
Atribución-NoComercial-SinDerivadas 2.5 Argentina
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv Modern Education and Computer Science Press
publisher.none.fl_str_mv Modern Education and Computer Science Press
dc.source.none.fl_str_mv International Journal of Intelligent Systems and Applications, vol. 7, no. 10, p. 63-76.
reponame:Repositorio Institucional de la Universidad Nacional del Nordeste (UNNE)
instname:Universidad Nacional del Nordeste
reponame_str Repositorio Institucional de la Universidad Nacional del Nordeste (UNNE)
collection Repositorio Institucional de la Universidad Nacional del Nordeste (UNNE)
instname_str Universidad Nacional del Nordeste
repository.name.fl_str_mv Repositorio Institucional de la Universidad Nacional del Nordeste (UNNE) - Universidad Nacional del Nordeste
repository.mail.fl_str_mv ososa@bib.unne.edu.ar;sergio.alegria@unne.edu.ar
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