Induced and logarithmic distances with multi-region aggregation operators

This paper introduces the induced ordered weighted logarithmic averaging IOWLAD and multiregion induced ordered weighted logarithmic averaging MR-IOWLAD operators. The distinctive characteristic of these operators lies in the notion of distance measures combined with the complex reordering mechanism...

ver descrição completa

Detalhes bibliográficos
Autores: Alfaro-García, Víctor G., Merigó Lindahl, José M., Plata Pérez, Lobardo, Gil Lafuente, Anna Maria
Tipo de documento: artigo
Estado:Versão publicada
Data de publicação:2019
País:España
Recursos:Universidad de Barcelona
Repositório:Dipòsit Digital de la UB
OAI Identifier:oai:diposit.ub.edu:2445/148822
Acesso em linha:https://hdl.handle.net/2445/148822
Access Level:Acceso aberto
Palavra-chave:Presa de decisions (Estadística)
Logaritmes
Teoria d'operadors
Mesurament de les distàncies
Àlgebres de mesura
Statistical decision
Logarithms
Operator theory
Measurement of distances
Measure algebras
id ES_6e0097ab50d8afe7dff69e1fcbbca390
oai_identifier_str oai:diposit.ub.edu:2445/148822
network_acronym_str ES
network_name_str España
repository_id_str
spelling Induced and logarithmic distances with multi-region aggregation operatorsAlfaro-García, Víctor G.Merigó Lindahl, José M.Plata Pérez, LobardoGil Lafuente, Anna MariaPresa de decisions (Estadística)LogaritmesTeoria d'operadorsMesurament de les distànciesÀlgebres de mesuraStatistical decisionLogarithmsOperator theoryMeasurement of distancesMeasure algebrasThis paper introduces the induced ordered weighted logarithmic averaging IOWLAD and multiregion induced ordered weighted logarithmic averaging MR-IOWLAD operators. The distinctive characteristic of these operators lies in the notion of distance measures combined with the complex reordering mechanism of inducing variables and the properties of the logarithmic averaging operators. The main advantage of MR-IOWLAD operators is their design, which is specifically thought to aid in decision-making when a set of diverse regions with different properties must be considered. Moreover, the induced weighting vector and the distance measure mechanisms of the operator allow for the wider modeling of problems, including heterogeneous information and the complex attitudinal character of experts, when aiming for an ideal scenario. Along with analyzing the main properties of the IOWLAD operators, their families and specific cases, we also introduce some extensions, such as the induced generalized ordered weighted averaging IGOWLAD operator and Choquet integrals. We present the induced Choquet logarithmic distance averaging ICLD operator and the generalized induced Choquet logarithmic distance averaging IGCLD operator. Finally, an illustrative example is proposed, including real-world information retrieved from the United Nations World Statistics for global regions.Vilnius Gediminas Technical University2019info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfhttps://hdl.handle.net/2445/148822Articles publicats en revistes (Empresa)reponame:Dipòsit Digital de la UBinstname:Universidad de BarcelonaInglésReproducció del document publicat a: https://doi.org/10.3846/tede.2019.9382Technological and Economic Development of Economy, 2019, vol. 25, num. 4, p. 664-692https://doi.org/10.3846/tede.2019.9382cc-by (c) Alfaro-García, Víctor G. et al., 2019http://creativecommons.org/licenses/by/3.0/esinfo:eu-repo/semantics/openAccessoai:diposit.ub.edu:2445/1488222026-05-27T06:46:51Z
dc.title.none.fl_str_mv Induced and logarithmic distances with multi-region aggregation operators
title Induced and logarithmic distances with multi-region aggregation operators
spellingShingle Induced and logarithmic distances with multi-region aggregation operators
Alfaro-García, Víctor G.
Presa de decisions (Estadística)
Logaritmes
Teoria d'operadors
Mesurament de les distàncies
Àlgebres de mesura
Statistical decision
Logarithms
Operator theory
Measurement of distances
Measure algebras
title_short Induced and logarithmic distances with multi-region aggregation operators
title_full Induced and logarithmic distances with multi-region aggregation operators
title_fullStr Induced and logarithmic distances with multi-region aggregation operators
title_full_unstemmed Induced and logarithmic distances with multi-region aggregation operators
title_sort Induced and logarithmic distances with multi-region aggregation operators
dc.creator.none.fl_str_mv Alfaro-García, Víctor G.
Merigó Lindahl, José M.
Plata Pérez, Lobardo
Gil Lafuente, Anna Maria
author Alfaro-García, Víctor G.
author_facet Alfaro-García, Víctor G.
Merigó Lindahl, José M.
Plata Pérez, Lobardo
Gil Lafuente, Anna Maria
author_role author
author2 Merigó Lindahl, José M.
Plata Pérez, Lobardo
Gil Lafuente, Anna Maria
author2_role author
author
author
dc.subject.none.fl_str_mv Presa de decisions (Estadística)
Logaritmes
Teoria d'operadors
Mesurament de les distàncies
Àlgebres de mesura
Statistical decision
Logarithms
Operator theory
Measurement of distances
Measure algebras
topic Presa de decisions (Estadística)
Logaritmes
Teoria d'operadors
Mesurament de les distàncies
Àlgebres de mesura
Statistical decision
Logarithms
Operator theory
Measurement of distances
Measure algebras
description This paper introduces the induced ordered weighted logarithmic averaging IOWLAD and multiregion induced ordered weighted logarithmic averaging MR-IOWLAD operators. The distinctive characteristic of these operators lies in the notion of distance measures combined with the complex reordering mechanism of inducing variables and the properties of the logarithmic averaging operators. The main advantage of MR-IOWLAD operators is their design, which is specifically thought to aid in decision-making when a set of diverse regions with different properties must be considered. Moreover, the induced weighting vector and the distance measure mechanisms of the operator allow for the wider modeling of problems, including heterogeneous information and the complex attitudinal character of experts, when aiming for an ideal scenario. Along with analyzing the main properties of the IOWLAD operators, their families and specific cases, we also introduce some extensions, such as the induced generalized ordered weighted averaging IGOWLAD operator and Choquet integrals. We present the induced Choquet logarithmic distance averaging ICLD operator and the generalized induced Choquet logarithmic distance averaging IGCLD operator. Finally, an illustrative example is proposed, including real-world information retrieved from the United Nations World Statistics for global regions.
publishDate 2019
dc.date.none.fl_str_mv 2019
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv https://hdl.handle.net/2445/148822
url https://hdl.handle.net/2445/148822
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv Reproducció del document publicat a: https://doi.org/10.3846/tede.2019.9382
Technological and Economic Development of Economy, 2019, vol. 25, num. 4, p. 664-692
https://doi.org/10.3846/tede.2019.9382
dc.rights.none.fl_str_mv cc-by (c) Alfaro-García, Víctor G. et al., 2019
http://creativecommons.org/licenses/by/3.0/es
info:eu-repo/semantics/openAccess
rights_invalid_str_mv cc-by (c) Alfaro-García, Víctor G. et al., 2019
http://creativecommons.org/licenses/by/3.0/es
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Vilnius Gediminas Technical University
publisher.none.fl_str_mv Vilnius Gediminas Technical University
dc.source.none.fl_str_mv Articles publicats en revistes (Empresa)
reponame:Dipòsit Digital de la UB
instname:Universidad de Barcelona
instname_str Universidad de Barcelona
reponame_str Dipòsit Digital de la UB
collection Dipòsit Digital de la UB
repository.name.fl_str_mv
repository.mail.fl_str_mv
_version_ 1869410393621790720
score 15.300724

Registros relacionados