Three-way group consensus based on fuzzy social networks under probabilistic linguistic preference relations

[EN] The advancement of technology and the rapid developments in the field of artificial intelligence have led to a surge in the research on decision-making in uncertain environments. Furthermore, individual decision-making is too simplistic to solve the complex decision-making problems posed by the...

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Autores: Wang, Yu, Zhan, Jianming, Xu, Zeshui, Alcantud, José Carlos R.
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2025
País:España
Institución:Universidad de Salamanca (USAL)
Repositorio:GREDOS. Repositorio Institucional de la Universidad de Salamanca
OAI Identifier:oai:gredos.usal.es:10366/167898
Acceso en línea:http://hdl.handle.net/10366/167898
Access Level:acceso embargado
Palabra clave:Three-way decision
Consensus reaching process
Fuzzy preference relation
Fuzzy social network
1209.03 Análisis de Datos
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spelling Three-way group consensus based on fuzzy social networks under probabilistic linguistic preference relationsWang, YuZhan, JianmingXu, ZeshuiAlcantud, José Carlos R.Three-way decisionConsensus reaching processFuzzy preference relationFuzzy social network1209.03 Análisis de Datos[EN] The advancement of technology and the rapid developments in the field of artificial intelligence have led to a surge in the research on decision-making in uncertain environments. Furthermore, individual decision-making is too simplistic to solve the complex decision-making problems posed by these challenges, leading to study group decision-making (GDM). Particularly, fuzzy social networks (FSNs) and fuzzy preference relations (FPRs) have important applications in GDM. In addition, probabilistic linguistic term sets (PLTSs) have succeeded as a bridge among natural language, fuzzy reasoning, and probability theory. However, the existing research on GDM under PLTSs faces three key challenges: flaws in PLTSs distance measurement, lack of FSN modeling, and the over-simplified feedback mechanism. These challenges severely impede the effectiveness and reliability of consensus reaching process (CRP) in complex decision-making scenarios. Motivated by these facts, this paper designs a three-way group consensus method based on FSNs under probabilistic linguistic preference relations (PLPRs), namely, the TWD-FSN-PLPR method. This method consists of three successive parts. The first part is the design of an improved consistency method based on the properties of PLTSs. Its main purpose is to ensure that the information on evaluations provided by the decision makers (DMs) maintains internal consistency, paving the way for subsequent GDM. The goal of the second part is to compute the DMs’ weights. Their own familiarity with the PLTS’s cross-entropy and self-confidence are used to construct a directed weighted FSN and then produce the weights from a metric based on social influence. The third part is the consensus reaching process, whose efficiency is improved by a combination of three-way decision and minimum cost, and implementing a penalty mechanism for non-cooperative DMs. In addition, the optimal alternative is selected using regret theory. The methodology is applied to a real case and compared with multiple methods to illustrate its rationality and superiority.Department of Education of the Junta de Castilla y León and FEDER FundsElsevierinfo202520252026info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://hdl.handle.net/10366/167898reponame:GREDOS. Repositorio Institucional de la Universidad de Salamancainstname:Universidad de Salamanca (USAL)InglésCLU-2O25-2-03info:eu-repo/semantics/embargoedAccessoai:gredos.usal.es:10366/1678982026-06-07T06:28:51Z
dc.title.none.fl_str_mv Three-way group consensus based on fuzzy social networks under probabilistic linguistic preference relations
title Three-way group consensus based on fuzzy social networks under probabilistic linguistic preference relations
spellingShingle Three-way group consensus based on fuzzy social networks under probabilistic linguistic preference relations
Wang, Yu
Three-way decision
Consensus reaching process
Fuzzy preference relation
Fuzzy social network
1209.03 Análisis de Datos
title_short Three-way group consensus based on fuzzy social networks under probabilistic linguistic preference relations
title_full Three-way group consensus based on fuzzy social networks under probabilistic linguistic preference relations
title_fullStr Three-way group consensus based on fuzzy social networks under probabilistic linguistic preference relations
title_full_unstemmed Three-way group consensus based on fuzzy social networks under probabilistic linguistic preference relations
title_sort Three-way group consensus based on fuzzy social networks under probabilistic linguistic preference relations
dc.creator.none.fl_str_mv Wang, Yu
Zhan, Jianming
Xu, Zeshui
Alcantud, José Carlos R.
author Wang, Yu
author_facet Wang, Yu
Zhan, Jianming
Xu, Zeshui
Alcantud, José Carlos R.
author_role author
author2 Zhan, Jianming
Xu, Zeshui
Alcantud, José Carlos R.
author2_role author
author
author
dc.subject.none.fl_str_mv Three-way decision
Consensus reaching process
Fuzzy preference relation
Fuzzy social network
1209.03 Análisis de Datos
topic Three-way decision
Consensus reaching process
Fuzzy preference relation
Fuzzy social network
1209.03 Análisis de Datos
description [EN] The advancement of technology and the rapid developments in the field of artificial intelligence have led to a surge in the research on decision-making in uncertain environments. Furthermore, individual decision-making is too simplistic to solve the complex decision-making problems posed by these challenges, leading to study group decision-making (GDM). Particularly, fuzzy social networks (FSNs) and fuzzy preference relations (FPRs) have important applications in GDM. In addition, probabilistic linguistic term sets (PLTSs) have succeeded as a bridge among natural language, fuzzy reasoning, and probability theory. However, the existing research on GDM under PLTSs faces three key challenges: flaws in PLTSs distance measurement, lack of FSN modeling, and the over-simplified feedback mechanism. These challenges severely impede the effectiveness and reliability of consensus reaching process (CRP) in complex decision-making scenarios. Motivated by these facts, this paper designs a three-way group consensus method based on FSNs under probabilistic linguistic preference relations (PLPRs), namely, the TWD-FSN-PLPR method. This method consists of three successive parts. The first part is the design of an improved consistency method based on the properties of PLTSs. Its main purpose is to ensure that the information on evaluations provided by the decision makers (DMs) maintains internal consistency, paving the way for subsequent GDM. The goal of the second part is to compute the DMs’ weights. Their own familiarity with the PLTS’s cross-entropy and self-confidence are used to construct a directed weighted FSN and then produce the weights from a metric based on social influence. The third part is the consensus reaching process, whose efficiency is improved by a combination of three-way decision and minimum cost, and implementing a penalty mechanism for non-cooperative DMs. In addition, the optimal alternative is selected using regret theory. The methodology is applied to a real case and compared with multiple methods to illustrate its rationality and superiority.
publishDate 2025
dc.date.none.fl_str_mv 2025
2025
2026
info
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 http://hdl.handle.net/10366/167898
url http://hdl.handle.net/10366/167898
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv CLU-2O25-2-03
dc.rights.none.fl_str_mv info:eu-repo/semantics/embargoedAccess
eu_rights_str_mv embargoedAccess
dc.publisher.none.fl_str_mv Elsevier
publisher.none.fl_str_mv Elsevier
dc.source.none.fl_str_mv reponame:GREDOS. Repositorio Institucional de la Universidad de Salamanca
instname:Universidad de Salamanca (USAL)
instname_str Universidad de Salamanca (USAL)
reponame_str GREDOS. Repositorio Institucional de la Universidad de Salamanca
collection GREDOS. Repositorio Institucional de la Universidad de Salamanca
repository.name.fl_str_mv
repository.mail.fl_str_mv
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