Machine learning-driven approach for large scale decision making with the analytic hierarchy process

Detalhes bibliográficos
Autor(a) principal: Alves, M. A.
Data de Publicação: 2023
Outros Autores: Meneghini, I. R., Gaspar-Cunha, A., Guimarães, F. G.
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: https://hdl.handle.net/1822/82465
Resumo: The Analytic Hierarchy Process (AHP) multicriteria method can be cognitively demanding for large-scale decision problems due to the requirement for the decision maker to make pairwise evaluations of all alternatives. To address this issue, this paper presents an interactive method that uses online learning to provide scalability for AHP. The proposed method involves a machine learning algorithm that learns the decision maker’s preferences through evaluations of small subsets of solutions, and guides the search for the optimal solution. The methodology was tested on four optimization problems with different surfaces to validate the results. We conducted a one factor at a time experimentation of each hyperparameter implemented, such as the number of alternatives to query the decision maker, the learner method, and the strategies for solution selection and recommendation. The results demonstrate that the model is able to learn the utility function that characterizes the decision maker in approximately 15 iterations with only a few comparisons, resulting in significant time and cognitive effort savings. The initial subset of solutions can be chosen randomly or from a cluster. The subsequent ones are recommended during the iterative process, with the best selection strategy depending on the problem type. Recommendation based solely on the smallest Euclidean or Cosine distances reveals better results on linear problems. The proposed methodology can also easily incorporate new parameters and multicriteria methods based on pairwise comparisons.
id RCAP_9140f83557baee3b71512b80df01b46d
oai_identifier_str oai:repositorium.sdum.uminho.pt:1822/82465
network_acronym_str RCAP
network_name_str Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
repository_id_str 7160
spelling Machine learning-driven approach for large scale decision making with the analytic hierarchy processscalable decision makingpairwise matricesmulti-attribute decision methodsonline machine learninganalytic hierarchy processCiências Naturais::Ciências da Computação e da InformaçãoScience & TechnologyThe Analytic Hierarchy Process (AHP) multicriteria method can be cognitively demanding for large-scale decision problems due to the requirement for the decision maker to make pairwise evaluations of all alternatives. To address this issue, this paper presents an interactive method that uses online learning to provide scalability for AHP. The proposed method involves a machine learning algorithm that learns the decision maker’s preferences through evaluations of small subsets of solutions, and guides the search for the optimal solution. The methodology was tested on four optimization problems with different surfaces to validate the results. We conducted a one factor at a time experimentation of each hyperparameter implemented, such as the number of alternatives to query the decision maker, the learner method, and the strategies for solution selection and recommendation. The results demonstrate that the model is able to learn the utility function that characterizes the decision maker in approximately 15 iterations with only a few comparisons, resulting in significant time and cognitive effort savings. The initial subset of solutions can be chosen randomly or from a cluster. The subsequent ones are recommended during the iterative process, with the best selection strategy depending on the problem type. Recommendation based solely on the smallest Euclidean or Cosine distances reveals better results on linear problems. The proposed methodology can also easily incorporate new parameters and multicriteria methods based on pairwise comparisons.This research was funded by National Funds through the FCT—Portuguese Foundation for Science and Technology, References UIDB/05256/2020 and UIDP/05256/2020.MDPIUniversidade do MinhoAlves, M. A.Meneghini, I. R.Gaspar-Cunha, A.Guimarães, F. G.20232023-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/1822/82465engAlves, M.A.; Meneghini, I.R.; Gaspar-Cunha, A.; Guimarães, F.G. Machine Learning-Driven Approach for Large Scale Decision Making with the Analytic Hierarchy Process. Mathematics 2023, 11, 627. https://doi.org/10.3390/math110306272227-739010.3390/math11030627https://www.mdpi.com/2227-7390/11/3/627info:eu-repo/semantics/openAccessreponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãoinstacron:RCAAP2023-07-21T12:07:22Zoai:repositorium.sdum.uminho.pt:1822/82465Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T18:58:19.195701Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãofalse
dc.title.none.fl_str_mv Machine learning-driven approach for large scale decision making with the analytic hierarchy process
title Machine learning-driven approach for large scale decision making with the analytic hierarchy process
spellingShingle Machine learning-driven approach for large scale decision making with the analytic hierarchy process
Alves, M. A.
scalable decision making
pairwise matrices
multi-attribute decision methods
online machine learning
analytic hierarchy process
Ciências Naturais::Ciências da Computação e da Informação
Science & Technology
title_short Machine learning-driven approach for large scale decision making with the analytic hierarchy process
title_full Machine learning-driven approach for large scale decision making with the analytic hierarchy process
title_fullStr Machine learning-driven approach for large scale decision making with the analytic hierarchy process
title_full_unstemmed Machine learning-driven approach for large scale decision making with the analytic hierarchy process
title_sort Machine learning-driven approach for large scale decision making with the analytic hierarchy process
author Alves, M. A.
author_facet Alves, M. A.
Meneghini, I. R.
Gaspar-Cunha, A.
Guimarães, F. G.
author_role author
author2 Meneghini, I. R.
Gaspar-Cunha, A.
Guimarães, F. G.
author2_role author
author
author
dc.contributor.none.fl_str_mv Universidade do Minho
dc.contributor.author.fl_str_mv Alves, M. A.
Meneghini, I. R.
Gaspar-Cunha, A.
Guimarães, F. G.
dc.subject.por.fl_str_mv scalable decision making
pairwise matrices
multi-attribute decision methods
online machine learning
analytic hierarchy process
Ciências Naturais::Ciências da Computação e da Informação
Science & Technology
topic scalable decision making
pairwise matrices
multi-attribute decision methods
online machine learning
analytic hierarchy process
Ciências Naturais::Ciências da Computação e da Informação
Science & Technology
description The Analytic Hierarchy Process (AHP) multicriteria method can be cognitively demanding for large-scale decision problems due to the requirement for the decision maker to make pairwise evaluations of all alternatives. To address this issue, this paper presents an interactive method that uses online learning to provide scalability for AHP. The proposed method involves a machine learning algorithm that learns the decision maker’s preferences through evaluations of small subsets of solutions, and guides the search for the optimal solution. The methodology was tested on four optimization problems with different surfaces to validate the results. We conducted a one factor at a time experimentation of each hyperparameter implemented, such as the number of alternatives to query the decision maker, the learner method, and the strategies for solution selection and recommendation. The results demonstrate that the model is able to learn the utility function that characterizes the decision maker in approximately 15 iterations with only a few comparisons, resulting in significant time and cognitive effort savings. The initial subset of solutions can be chosen randomly or from a cluster. The subsequent ones are recommended during the iterative process, with the best selection strategy depending on the problem type. Recommendation based solely on the smallest Euclidean or Cosine distances reveals better results on linear problems. The proposed methodology can also easily incorporate new parameters and multicriteria methods based on pairwise comparisons.
publishDate 2023
dc.date.none.fl_str_mv 2023
2023-01-01T00:00:00Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv https://hdl.handle.net/1822/82465
url https://hdl.handle.net/1822/82465
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Alves, M.A.; Meneghini, I.R.; Gaspar-Cunha, A.; Guimarães, F.G. Machine Learning-Driven Approach for Large Scale Decision Making with the Analytic Hierarchy Process. Mathematics 2023, 11, 627. https://doi.org/10.3390/math11030627
2227-7390
10.3390/math11030627
https://www.mdpi.com/2227-7390/11/3/627
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv MDPI
publisher.none.fl_str_mv MDPI
dc.source.none.fl_str_mv reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
instacron:RCAAP
instname_str Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
instacron_str RCAAP
institution RCAAP
reponame_str Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
collection Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
repository.name.fl_str_mv Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
repository.mail.fl_str_mv
_version_ 1799132373510520832