Machine learning-driven approach for large scale decision making with the analytic hierarchy process
Autor(a) principal: | |
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Data de Publicação: | 2023 |
Outros Autores: | , , |
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. |
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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 |
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Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação |
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RCAAP |
institution |
RCAAP |
reponame_str |
Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
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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 |
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1799132373510520832 |