Consistency Indices in Analytic Hierarchy Process: A Review

A well-regarded as well as powerful method named the ‘analytic hierarchy process’ (AHP) uses mathematics and psychology for making and analysing complex decisions. This article aims to present a brief review of the consistency measure of the judgments in AHP. Judgments should not be random or illogi...

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Bibliographic Details
Published in:Mathematics (Basel) Vol. 10; no. 8; p. 1206
Main Authors: Pant, Sangeeta, Kumar, Anuj, Ram, Mangey, Klochkov, Yury, Sharma, Hitesh Kumar
Format: Journal Article
Language:English
Published: Basel MDPI AG 01.04.2022
Subjects:
Analytic hierarchy process
analytic hierarchy process (AHP)
Consistency
consistency measure
Decision analysis
Decision making
Decision theory
Eigenvalues
Hierarchies
Judgments
Mathematics
multi-criteria decision-making (MCDM)
nature-inspired optimization technique
Optimization techniques
Psychology
reliability optimization
ISSN:2227-7390, 2227-7390
Online Access:Get full text
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Summary:A well-regarded as well as powerful method named the ‘analytic hierarchy process’ (AHP) uses mathematics and psychology for making and analysing complex decisions. This article aims to present a brief review of the consistency measure of the judgments in AHP. Judgments should not be random or illogical. Several researchers have developed different consistency measures to identify the rationality of judgments. This article summarises the consistency measures which have been proposed so far in the literature. Moreover, this paper describes briefly the functional relationships established in the literature among the well-known consistency indices. At last, some thoughtful research directions that can be helpful in further research to develop and improve the performance of AHP are provided as well.
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ISSN:2227-7390
2227-7390
DOI:10.3390/math10081206