Consistency Improvement in the Analytic Hierarchy Process
Consistency checking is one of the reasons for the Analytic Hierarchy Process (AHP) leadership in publications on multiple criteria decision-making (MCDM). Consistency is a measure of the quality of data input in the AHP. The theory of AHP provides indicators for the consistency of data. When an ind...
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Format: | Article |
Language: | English |
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MDPI AG
2024-03-01
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Series: | Mathematics |
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Online Access: | https://www.mdpi.com/2227-7390/12/6/828 |
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author | Valerio Antonio Pamplona Salomon Luiz Flavio Autran Monteiro Gomes |
author_facet | Valerio Antonio Pamplona Salomon Luiz Flavio Autran Monteiro Gomes |
author_sort | Valerio Antonio Pamplona Salomon |
collection | DOAJ |
description | Consistency checking is one of the reasons for the Analytic Hierarchy Process (AHP) leadership in publications on multiple criteria decision-making (MCDM). Consistency is a measure of the quality of data input in the AHP. The theory of AHP provides indicators for the consistency of data. When an indicator is out of the desired interval, the data must be reviewed. This article presents a method for improving the consistency of reviewing the data input in an AHP application. First, a conventional literature review is presented on the theme. Then, an innovative tool of artificial intelligence is shown to confirm the main result of the conventional review: this topic is still attracting interest from AHP and MCDM researchers. Finally, a simple technique for consistency improvement is presented and illustrated with a practical case of MCDM: supplier selection by a company. |
first_indexed | 2024-04-24T18:02:26Z |
format | Article |
id | doaj.art-44c2ced4681e450c9c6101c8b1de727d |
institution | Directory Open Access Journal |
issn | 2227-7390 |
language | English |
last_indexed | 2024-04-24T18:02:26Z |
publishDate | 2024-03-01 |
publisher | MDPI AG |
record_format | Article |
series | Mathematics |
spelling | doaj.art-44c2ced4681e450c9c6101c8b1de727d2024-03-27T13:53:01ZengMDPI AGMathematics2227-73902024-03-0112682810.3390/math12060828Consistency Improvement in the Analytic Hierarchy ProcessValerio Antonio Pamplona Salomon0Luiz Flavio Autran Monteiro Gomes1Department of Production, UNESP–Sao Paulo State University, Guaratingueta 12516-410, SP, BrazilPro-Rectory of Research, Federal University of ABC, Santo André 09210-580, SP, BrazilConsistency checking is one of the reasons for the Analytic Hierarchy Process (AHP) leadership in publications on multiple criteria decision-making (MCDM). Consistency is a measure of the quality of data input in the AHP. The theory of AHP provides indicators for the consistency of data. When an indicator is out of the desired interval, the data must be reviewed. This article presents a method for improving the consistency of reviewing the data input in an AHP application. First, a conventional literature review is presented on the theme. Then, an innovative tool of artificial intelligence is shown to confirm the main result of the conventional review: this topic is still attracting interest from AHP and MCDM researchers. Finally, a simple technique for consistency improvement is presented and illustrated with a practical case of MCDM: supplier selection by a company.https://www.mdpi.com/2227-7390/12/6/828AHPconsistencyMCDMsupplier selection |
spellingShingle | Valerio Antonio Pamplona Salomon Luiz Flavio Autran Monteiro Gomes Consistency Improvement in the Analytic Hierarchy Process Mathematics AHP consistency MCDM supplier selection |
title | Consistency Improvement in the Analytic Hierarchy Process |
title_full | Consistency Improvement in the Analytic Hierarchy Process |
title_fullStr | Consistency Improvement in the Analytic Hierarchy Process |
title_full_unstemmed | Consistency Improvement in the Analytic Hierarchy Process |
title_short | Consistency Improvement in the Analytic Hierarchy Process |
title_sort | consistency improvement in the analytic hierarchy process |
topic | AHP consistency MCDM supplier selection |
url | https://www.mdpi.com/2227-7390/12/6/828 |
work_keys_str_mv | AT valerioantoniopamplonasalomon consistencyimprovementintheanalytichierarchyprocess AT luizflavioautranmonteirogomes consistencyimprovementintheanalytichierarchyprocess |