A new synthesis procedure for TOPSIS based on AHP

Vega et al. [1] analyzed the influence of the attributes’ dependence when ranking a set of alternatives in a multicriteria decision making problem with TOPSIS. They also proposed the use of the Mahalanobis distance to incorporate the correlations among the attributes in TOPSIS. Even in those situati...

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Detalles Bibliográficos
Autores: Aguarón-Joven, Juan, Escobar-Urmeneta, María Teresa, García-Alcaraz, Jorge Luis, Moreno-Jiménez, José María, Vega-Bonilla, Alberto
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2015
País:Colombia
Institución:Universidad Nacional de Colombia
Repositorio:Repositorio UN
Idioma:español
OAI Identifier:oai:repositorio.unal.edu.co:unal/60717
Acceso en línea:https://repositorio.unal.edu.co/handle/unal/60717
http://bdigital.unal.edu.co/59049/
Access Level:acceso abierto
Palabra clave:62 Ingeniería y operaciones afines / Engineering
Multicriteria Decision Making
TOPSIS
AHP
Dependence
Synthesis.
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spelling A new synthesis procedure for TOPSIS based on AHPAguarón-Joven, JuanEscobar-Urmeneta, María TeresaGarcía-Alcaraz, Jorge LuisMoreno-Jiménez, José MaríaVega-Bonilla, Alberto62 Ingeniería y operaciones afines / EngineeringMulticriteria Decision MakingTOPSISAHPDependenceSynthesis.Vega et al. [1] analyzed the influence of the attributes’ dependence when ranking a set of alternatives in a multicriteria decision making problem with TOPSIS. They also proposed the use of the Mahalanobis distance to incorporate the correlations among the attributes in TOPSIS. Even in those situations for which dependence among attributes is very slight, the results obtained for the Mahalanobis distance are significantly different from those obtained with the Euclidean distance, traditionally used in TOPSIS, and also from results obtained using any other distance of the Minkowsky family. This raises serious doubts regarding the selection of the distance that should be employed in each case. To deal with the problem of the attributes’ dependence and the question of the selection of the most appropriate distance measure, this paper proposes to use a new method for synthesizing the distances to the ideal and the anti-ideal in TOPSIS. The new procedure is based on the Analytic Hierarchy Process and is able to capture the relative importance of both distances in the context given by the measure that is considered; it also provides rankings, which are closer to the distances employed in TOPSIS, regardless of the dependence among the attributes. The new technique has been applied to the illustrative example employed in Vega et al. [1].Universidad Nacional de Colombia (Sede Medellín). Facultad de Minas.2019-07-02T18:57:14Z2019-07-02T18:57:14Z2015-05-01Artículo de revistainfo:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501http://purl.org/coar/version/c_970fb48d4fbd8a85Texthttp://purl.org/redcol/resource_type/ARTapplication/pdfapplication/pdfISSN: 2346-2183https://repositorio.unal.edu.co/handle/unal/60717http://bdigital.unal.edu.co/59049/spahttps://revistas.unal.edu.co/index.php/dyna/article/view/51140Universidad Nacional de Colombia Revistas electrónicas UN DynaDynaAguarón-Joven, Juan and Escobar-Urmeneta, María Teresa and García-Alcaraz, Jorge Luis and Moreno-Jiménez, José María and Vega-Bonilla, Alberto (2015) A new synthesis procedure for TOPSIS based on AHP. DYNA, 82 (191). pp. 11-19. ISSN 2346-2183Derechos reservados - Universidad Nacional de ColombiaAtribución-NoComercial 4.0 Internacionalhttp://creativecommons.org/licenses/by-nc/4.0/info:eu-repo/semantics/openAccessreponame:Repositorio UNinstname:Universidad Nacional de Colombiainstacron:Universidad Nacional de Colombia2023-04-09T04:04:58Z
dc.title.none.fl_str_mv A new synthesis procedure for TOPSIS based on AHP
title A new synthesis procedure for TOPSIS based on AHP
spellingShingle A new synthesis procedure for TOPSIS based on AHP
Aguarón-Joven, Juan
62 Ingeniería y operaciones afines / Engineering
Multicriteria Decision Making
TOPSIS
AHP
Dependence
Synthesis.
title_short A new synthesis procedure for TOPSIS based on AHP
title_full A new synthesis procedure for TOPSIS based on AHP
title_fullStr A new synthesis procedure for TOPSIS based on AHP
title_full_unstemmed A new synthesis procedure for TOPSIS based on AHP
title_sort A new synthesis procedure for TOPSIS based on AHP
dc.creator.none.fl_str_mv Aguarón-Joven, Juan
Escobar-Urmeneta, María Teresa
García-Alcaraz, Jorge Luis
Moreno-Jiménez, José María
Vega-Bonilla, Alberto
author Aguarón-Joven, Juan
author_facet Aguarón-Joven, Juan
Escobar-Urmeneta, María Teresa
García-Alcaraz, Jorge Luis
Moreno-Jiménez, José María
Vega-Bonilla, Alberto
author_role author
author2 Escobar-Urmeneta, María Teresa
García-Alcaraz, Jorge Luis
Moreno-Jiménez, José María
Vega-Bonilla, Alberto
author2_role author
author
author
author
dc.subject.none.fl_str_mv 62 Ingeniería y operaciones afines / Engineering
Multicriteria Decision Making
TOPSIS
AHP
Dependence
Synthesis.
topic 62 Ingeniería y operaciones afines / Engineering
Multicriteria Decision Making
TOPSIS
AHP
Dependence
Synthesis.
description Vega et al. [1] analyzed the influence of the attributes’ dependence when ranking a set of alternatives in a multicriteria decision making problem with TOPSIS. They also proposed the use of the Mahalanobis distance to incorporate the correlations among the attributes in TOPSIS. Even in those situations for which dependence among attributes is very slight, the results obtained for the Mahalanobis distance are significantly different from those obtained with the Euclidean distance, traditionally used in TOPSIS, and also from results obtained using any other distance of the Minkowsky family. This raises serious doubts regarding the selection of the distance that should be employed in each case. To deal with the problem of the attributes’ dependence and the question of the selection of the most appropriate distance measure, this paper proposes to use a new method for synthesizing the distances to the ideal and the anti-ideal in TOPSIS. The new procedure is based on the Analytic Hierarchy Process and is able to capture the relative importance of both distances in the context given by the measure that is considered; it also provides rankings, which are closer to the distances employed in TOPSIS, regardless of the dependence among the attributes. The new technique has been applied to the illustrative example employed in Vega et al. [1].
publishDate 2015
dc.date.none.fl_str_mv 2015-05-01
2019-07-02T18:57:14Z
2019-07-02T18:57:14Z
dc.type.none.fl_str_mv Artículo de revista
info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
http://purl.org/coar/resource_type/c_6501
http://purl.org/coar/version/c_970fb48d4fbd8a85
Text
http://purl.org/redcol/resource_type/ART
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv ISSN: 2346-2183
https://repositorio.unal.edu.co/handle/unal/60717
http://bdigital.unal.edu.co/59049/
identifier_str_mv ISSN: 2346-2183
url https://repositorio.unal.edu.co/handle/unal/60717
http://bdigital.unal.edu.co/59049/
dc.language.none.fl_str_mv spa
language spa
dc.relation.none.fl_str_mv https://revistas.unal.edu.co/index.php/dyna/article/view/51140
Universidad Nacional de Colombia Revistas electrónicas UN Dyna
Dyna
Aguarón-Joven, Juan and Escobar-Urmeneta, María Teresa and García-Alcaraz, Jorge Luis and Moreno-Jiménez, José María and Vega-Bonilla, Alberto (2015) A new synthesis procedure for TOPSIS based on AHP. DYNA, 82 (191). pp. 11-19. ISSN 2346-2183
dc.rights.none.fl_str_mv Derechos reservados - Universidad Nacional de Colombia
Atribución-NoComercial 4.0 Internacional
http://creativecommons.org/licenses/by-nc/4.0/
info:eu-repo/semantics/openAccess
rights_invalid_str_mv Derechos reservados - Universidad Nacional de Colombia
Atribución-NoComercial 4.0 Internacional
http://creativecommons.org/licenses/by-nc/4.0/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv Universidad Nacional de Colombia (Sede Medellín). Facultad de Minas.
publisher.none.fl_str_mv Universidad Nacional de Colombia (Sede Medellín). Facultad de Minas.
dc.source.none.fl_str_mv reponame:Repositorio UN
instname:Universidad Nacional de Colombia
instacron:Universidad Nacional de Colombia
instname_str Universidad Nacional de Colombia
instacron_str Universidad Nacional de Colombia
institution Universidad Nacional de Colombia
reponame_str Repositorio UN
collection Repositorio UN
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