An update on combinatorial method for aggregation of expert judgments in AHP
Autor(a) principal: | |
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Data de Publicação: | 2021 |
Outros Autores: | , , |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Production |
Texto Completo: | http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0103-65132021000100503 |
Resumo: | Abstract Paper aims the paper aims to demonstrate the advantages of several modifications of combinatorial method of expert judgment aggregation in AHP. Modifications are based on 1) weighting of spanning trees; 2) sorting of spanning trees by graph diameter during aggregation. Originality Both the method and its modifications are developed and improved by the authors. We propose to 1) weight spanning trees, based on quality of respective expert estimates, and 2) sort them by diameter in order to reduce the impact of expert errors and the method’s computational complexity. Research method we focus on theoretical and empirical studies of several modifications of combinatorial method of aggregation of expert judgments within AHP. Main findings modified combinatorial method has several conceptual advantages over ordinary method. It is also less sensitive to perturbations of initial data. Additionally, selection of spanning trees with smaller diameters allows us to reduce computational complexity of the method and minimize the impact of expert errors. Implications for theory and practice Combinatorial method is a universal instrument of expert judgment aggregation, applicable to additive/multiplicative, complete/incomplete, individual/group pair-wise comparisons, provided in different scales. It is used in the original strategic planning technology, which has recently found several important applications. |
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An update on combinatorial method for aggregation of expert judgments in AHPPair-wise comparisonConsistencyCompatibilitySpanning tree graph diameterPrüfer sequenceAbstract Paper aims the paper aims to demonstrate the advantages of several modifications of combinatorial method of expert judgment aggregation in AHP. Modifications are based on 1) weighting of spanning trees; 2) sorting of spanning trees by graph diameter during aggregation. Originality Both the method and its modifications are developed and improved by the authors. We propose to 1) weight spanning trees, based on quality of respective expert estimates, and 2) sort them by diameter in order to reduce the impact of expert errors and the method’s computational complexity. Research method we focus on theoretical and empirical studies of several modifications of combinatorial method of aggregation of expert judgments within AHP. Main findings modified combinatorial method has several conceptual advantages over ordinary method. It is also less sensitive to perturbations of initial data. Additionally, selection of spanning trees with smaller diameters allows us to reduce computational complexity of the method and minimize the impact of expert errors. Implications for theory and practice Combinatorial method is a universal instrument of expert judgment aggregation, applicable to additive/multiplicative, complete/incomplete, individual/group pair-wise comparisons, provided in different scales. It is used in the original strategic planning technology, which has recently found several important applications.Associação Brasileira de Engenharia de Produção2021-01-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersiontext/htmlhttp://old.scielo.br/scielo.php?script=sci_arttext&pid=S0103-65132021000100503Production v.31 2021reponame:Productioninstname:Associação Brasileira de Engenharia de Produção (ABEPRO)instacron:ABEPRO10.1590/0103-6513.20210045info:eu-repo/semantics/openAccessKadenko,SergiiTsyganok,VitaliySzádoczki,ZsomborBozóki,Sándoreng2021-09-24T00:00:00Zoai:scielo:S0103-65132021000100503Revistahttps://www.scielo.br/j/prod/https://old.scielo.br/oai/scielo-oai.php||production@editoracubo.com.br1980-54110103-6513opendoar:2021-09-24T00:00Production - Associação Brasileira de Engenharia de Produção (ABEPRO)false |
dc.title.none.fl_str_mv |
An update on combinatorial method for aggregation of expert judgments in AHP |
title |
An update on combinatorial method for aggregation of expert judgments in AHP |
spellingShingle |
An update on combinatorial method for aggregation of expert judgments in AHP Kadenko,Sergii Pair-wise comparison Consistency Compatibility Spanning tree graph diameter Prüfer sequence |
title_short |
An update on combinatorial method for aggregation of expert judgments in AHP |
title_full |
An update on combinatorial method for aggregation of expert judgments in AHP |
title_fullStr |
An update on combinatorial method for aggregation of expert judgments in AHP |
title_full_unstemmed |
An update on combinatorial method for aggregation of expert judgments in AHP |
title_sort |
An update on combinatorial method for aggregation of expert judgments in AHP |
author |
Kadenko,Sergii |
author_facet |
Kadenko,Sergii Tsyganok,Vitaliy Szádoczki,Zsombor Bozóki,Sándor |
author_role |
author |
author2 |
Tsyganok,Vitaliy Szádoczki,Zsombor Bozóki,Sándor |
author2_role |
author author author |
dc.contributor.author.fl_str_mv |
Kadenko,Sergii Tsyganok,Vitaliy Szádoczki,Zsombor Bozóki,Sándor |
dc.subject.por.fl_str_mv |
Pair-wise comparison Consistency Compatibility Spanning tree graph diameter Prüfer sequence |
topic |
Pair-wise comparison Consistency Compatibility Spanning tree graph diameter Prüfer sequence |
description |
Abstract Paper aims the paper aims to demonstrate the advantages of several modifications of combinatorial method of expert judgment aggregation in AHP. Modifications are based on 1) weighting of spanning trees; 2) sorting of spanning trees by graph diameter during aggregation. Originality Both the method and its modifications are developed and improved by the authors. We propose to 1) weight spanning trees, based on quality of respective expert estimates, and 2) sort them by diameter in order to reduce the impact of expert errors and the method’s computational complexity. Research method we focus on theoretical and empirical studies of several modifications of combinatorial method of aggregation of expert judgments within AHP. Main findings modified combinatorial method has several conceptual advantages over ordinary method. It is also less sensitive to perturbations of initial data. Additionally, selection of spanning trees with smaller diameters allows us to reduce computational complexity of the method and minimize the impact of expert errors. Implications for theory and practice Combinatorial method is a universal instrument of expert judgment aggregation, applicable to additive/multiplicative, complete/incomplete, individual/group pair-wise comparisons, provided in different scales. It is used in the original strategic planning technology, which has recently found several important applications. |
publishDate |
2021 |
dc.date.none.fl_str_mv |
2021-01-01 |
dc.type.driver.fl_str_mv |
info:eu-repo/semantics/article |
dc.type.status.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
format |
article |
status_str |
publishedVersion |
dc.identifier.uri.fl_str_mv |
http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0103-65132021000100503 |
url |
http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0103-65132021000100503 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
10.1590/0103-6513.20210045 |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
text/html |
dc.publisher.none.fl_str_mv |
Associação Brasileira de Engenharia de Produção |
publisher.none.fl_str_mv |
Associação Brasileira de Engenharia de Produção |
dc.source.none.fl_str_mv |
Production v.31 2021 reponame:Production instname:Associação Brasileira de Engenharia de Produção (ABEPRO) instacron:ABEPRO |
instname_str |
Associação Brasileira de Engenharia de Produção (ABEPRO) |
instacron_str |
ABEPRO |
institution |
ABEPRO |
reponame_str |
Production |
collection |
Production |
repository.name.fl_str_mv |
Production - Associação Brasileira de Engenharia de Produção (ABEPRO) |
repository.mail.fl_str_mv |
||production@editoracubo.com.br |
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1754213154822291456 |