Nested formulation paradigms for induced ordered weighted averaging aggregation for decision‐making and evaluation

Existing extensions to Yager's ordered weighted aver-aging (OWA) operators enlarge the application rangeand to encompass more principles and properties relatedto OWA aggregation. However, these extensions do notprovide a strict and convenient way to model evaluationscenarios with complex or...

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Autores: Zhu, Chen, Jin, LeSheng, Mesiar, Radko, Yager, Ronald R., Paternain Dallo, Daniel, Bustince Sola, Humberto
Tipo de recurso: artículo
Estado:Versión aceptada para publicación
Fecha de publicación:2019
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:2454/36778
Acceso en línea:https://hdl.handle.net/2454/36778
Access Level:acceso abierto
Palabra clave:Aggregation function
Decision aiding model
Decision‐making
Evaluation
Induced ordered weighted averaging operator
Ordered weighted averaging operator
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spelling Nested formulation paradigms for induced ordered weighted averaging aggregation for decision‐making and evaluationZhu, ChenJin, LeShengMesiar, RadkoYager, Ronald R.Paternain Dallo, DanielBustince Sola, HumbertoAggregation functionDecision aiding modelDecision‐makingEvaluationInduced ordered weighted averaging operatorOrdered weighted averaging operatorExisting extensions to Yager's ordered weighted aver-aging (OWA) operators enlarge the application rangeand to encompass more principles and properties relatedto OWA aggregation. However, these extensions do notprovide a strict and convenient way to model evaluationscenarios with complex or grouped preferences. Basedon earlier studies and recent evolutionary changes inOWA operators, we propose formulation paradigms forinduced OWA aggregation and a related weight functionwith self‐contained properties that make it possibleto model such complex preference‐involved evaluationproblems in a systematic way. The new formulationshave some recursive forms that provide more waysto apply OWA aggregation and deserve further studyfrom a mathematical perspective. In addition, the newproposal generalizes almost all of the well‐knownextensions to the original OWA operators. We providean example showing the representative use of suchparadigms in decision‐making and evaluation problems.This study was partly supported by Scientific Research Start‐up Foundation (grant no.184080H202B165), by Jiangsu ’s Philosophy and Social Science Fund (grant no. 18EYD005), and also by the Science and Technology Assistance Agency under contract no. APVV‐17‐0066. This study was also partially supported by the Spanish Ministry of Science and Technology under project no. TIN2016‐77356‐P (AEI/FEDER, UE).WileyEstadística, Informática y MatemáticasEstatistika, Informatika eta Matematika2019info:eu-repo/semantics/articleinfo:eu-repo/semantics/acceptedVersionapplication/pdfhttps://hdl.handle.net/2454/36778reponame:Academica-e. Repositorio Institucional de la Universidad Pública de Navarrainstname:Universidad Pública de NavarraInglésinfo:eu-repo/grantAgreement/ES/1PE/TIN2016-77356-P© 2019 Wiley Periodicals, Inc.info:eu-repo/semantics/openAccessoai:academica-e.unavarra.es:2454/367782026-06-17T12:41:47Z
dc.title.none.fl_str_mv Nested formulation paradigms for induced ordered weighted averaging aggregation for decision‐making and evaluation
title Nested formulation paradigms for induced ordered weighted averaging aggregation for decision‐making and evaluation
spellingShingle Nested formulation paradigms for induced ordered weighted averaging aggregation for decision‐making and evaluation
Zhu, Chen
Aggregation function
Decision aiding model
Decision‐making
Evaluation
Induced ordered weighted averaging operator
Ordered weighted averaging operator
title_short Nested formulation paradigms for induced ordered weighted averaging aggregation for decision‐making and evaluation
title_full Nested formulation paradigms for induced ordered weighted averaging aggregation for decision‐making and evaluation
title_fullStr Nested formulation paradigms for induced ordered weighted averaging aggregation for decision‐making and evaluation
title_full_unstemmed Nested formulation paradigms for induced ordered weighted averaging aggregation for decision‐making and evaluation
title_sort Nested formulation paradigms for induced ordered weighted averaging aggregation for decision‐making and evaluation
dc.creator.none.fl_str_mv Zhu, Chen
Jin, LeSheng
Mesiar, Radko
Yager, Ronald R.
Paternain Dallo, Daniel
Bustince Sola, Humberto
author Zhu, Chen
author_facet Zhu, Chen
Jin, LeSheng
Mesiar, Radko
Yager, Ronald R.
Paternain Dallo, Daniel
Bustince Sola, Humberto
author_role author
author2 Jin, LeSheng
Mesiar, Radko
Yager, Ronald R.
Paternain Dallo, Daniel
Bustince Sola, Humberto
author2_role author
author
author
author
author
dc.contributor.none.fl_str_mv Estadística, Informática y Matemáticas
Estatistika, Informatika eta Matematika
dc.subject.none.fl_str_mv Aggregation function
Decision aiding model
Decision‐making
Evaluation
Induced ordered weighted averaging operator
Ordered weighted averaging operator
topic Aggregation function
Decision aiding model
Decision‐making
Evaluation
Induced ordered weighted averaging operator
Ordered weighted averaging operator
description Existing extensions to Yager's ordered weighted aver-aging (OWA) operators enlarge the application rangeand to encompass more principles and properties relatedto OWA aggregation. However, these extensions do notprovide a strict and convenient way to model evaluationscenarios with complex or grouped preferences. Basedon earlier studies and recent evolutionary changes inOWA operators, we propose formulation paradigms forinduced OWA aggregation and a related weight functionwith self‐contained properties that make it possibleto model such complex preference‐involved evaluationproblems in a systematic way. The new formulationshave some recursive forms that provide more waysto apply OWA aggregation and deserve further studyfrom a mathematical perspective. In addition, the newproposal generalizes almost all of the well‐knownextensions to the original OWA operators. We providean example showing the representative use of suchparadigms in decision‐making and evaluation problems.
publishDate 2019
dc.date.none.fl_str_mv 2019
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/acceptedVersion
format article
status_str acceptedVersion
dc.identifier.none.fl_str_mv https://hdl.handle.net/2454/36778
url https://hdl.handle.net/2454/36778
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv info:eu-repo/grantAgreement/ES/1PE/TIN2016-77356-P
dc.rights.none.fl_str_mv © 2019 Wiley Periodicals, Inc.
info:eu-repo/semantics/openAccess
rights_invalid_str_mv © 2019 Wiley Periodicals, Inc.
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Wiley
publisher.none.fl_str_mv Wiley
dc.source.none.fl_str_mv reponame:Academica-e. Repositorio Institucional de la Universidad Pública de Navarra
instname:Universidad Pública de Navarra
instname_str Universidad Pública de Navarra
reponame_str Academica-e. Repositorio Institucional de la Universidad Pública de Navarra
collection Academica-e. Repositorio Institucional de la Universidad Pública de Navarra
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15,811543

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