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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Main Authors: Valerio Antonio Pamplona Salomon, Luiz Flavio Autran Monteiro Gomes
Format: Article
Language:English
Published: MDPI AG 2024-03-01
Series:Mathematics
Subjects:
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.
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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