Using the three-way matrix for AHP-group decision-making
The Analytic Hierarchy Process (AHP) is one of the most well-known and used multi-criteria methods in the field of decision problems. In many situations, the decision is not up to a single person but involves multiple decision-makers with different preferences with respect to the various elements of...
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| Format: | Article |
| Language: | English |
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Accademia Piceno Aprutina dei Velati
2024-12-01
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| Series: | Ratio Mathematica |
| Online Access: | http://eiris.it/ojs/index.php/ratiomathematica/article/view/1643 |
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| author | Elisa Fiorenza |
| author_facet | Elisa Fiorenza |
| author_sort | Elisa Fiorenza |
| collection | DOAJ |
| description | The Analytic Hierarchy Process (AHP) is one of the most well-known and used multi-criteria methods in the field of decision problems. In many situations, the decision is not up to a single person but involves multiple decision-makers with different preferences with respect to the various elements of the problem. Applying a traditional AHP with certain preference aggregation mechanisms, the procedure is very burdened by the many pairwise comparison matrices due to the number of decision-makers. The aim of this paper is to summarize the problem of representing the different preferences between the criteria and the alternatives, for the various decision makers using the three-way data matrix. This matrix allows us to examine, in a contemporary and global manner, the preferences of several decision-makers in the decision-making context. Three-way principal component models can be used to treat the three-way matrix, particularly for the derivation of AHP priorities. |
| format | Article |
| id | doaj-art-8d8628af4f604579aa6ac861a3afff76 |
| institution | Kabale University |
| issn | 1592-7415 2282-8214 |
| language | English |
| publishDate | 2024-12-01 |
| publisher | Accademia Piceno Aprutina dei Velati |
| record_format | Article |
| series | Ratio Mathematica |
| spelling | doaj-art-8d8628af4f604579aa6ac861a3afff762025-02-01T06:51:01ZengAccademia Piceno Aprutina dei VelatiRatio Mathematica1592-74152282-82142024-12-0153010.23755/rm.v53i0.1643944Using the three-way matrix for AHP-group decision-makingElisa Fiorenza0Faculty of Technological & Innovation Sciences Department of Economics, Statistics and Business, Universitas Mercatorum, Rome, ItalyThe Analytic Hierarchy Process (AHP) is one of the most well-known and used multi-criteria methods in the field of decision problems. In many situations, the decision is not up to a single person but involves multiple decision-makers with different preferences with respect to the various elements of the problem. Applying a traditional AHP with certain preference aggregation mechanisms, the procedure is very burdened by the many pairwise comparison matrices due to the number of decision-makers. The aim of this paper is to summarize the problem of representing the different preferences between the criteria and the alternatives, for the various decision makers using the three-way data matrix. This matrix allows us to examine, in a contemporary and global manner, the preferences of several decision-makers in the decision-making context. Three-way principal component models can be used to treat the three-way matrix, particularly for the derivation of AHP priorities.http://eiris.it/ojs/index.php/ratiomathematica/article/view/1643 |
| spellingShingle | Elisa Fiorenza Using the three-way matrix for AHP-group decision-making Ratio Mathematica |
| title | Using the three-way matrix for AHP-group decision-making |
| title_full | Using the three-way matrix for AHP-group decision-making |
| title_fullStr | Using the three-way matrix for AHP-group decision-making |
| title_full_unstemmed | Using the three-way matrix for AHP-group decision-making |
| title_short | Using the three-way matrix for AHP-group decision-making |
| title_sort | using the three way matrix for ahp group decision making |
| url | http://eiris.it/ojs/index.php/ratiomathematica/article/view/1643 |
| work_keys_str_mv | AT elisafiorenza usingthethreewaymatrixforahpgroupdecisionmaking |