An Overview and Comparison of Axiomatization Structures Regarding Inconsistency Indices’ Properties in Pairwise Comparisons Methods: A Decade of Advancements
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F47813059%3A19520%2F25%3AA0000527" target="_blank" >RIV/47813059:19520/25:A0000527 - isvavai.cz</a>
Result on the web
<a href="https://ijmems.in/article_detail.php?vid=10&issue_id=48&article_id=642" target="_blank" >https://ijmems.in/article_detail.php?vid=10&issue_id=48&article_id=642</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.33889/IJMEMS.2025.10.1.015" target="_blank" >10.33889/IJMEMS.2025.10.1.015</a>
Alternative languages
Result language
angličtina
Original language name
An Overview and Comparison of Axiomatization Structures Regarding Inconsistency Indices’ Properties in Pairwise Comparisons Methods: A Decade of Advancements
Original language description
Mathematical analysis of the analytic hierarchy process (AHP) led to the development of a mathematical function, usually called the inconsistency index, which has the center role in measuring the inconsistency of the judgements in AHP. Inconsistency index is a mathematical function which maps every pairwise comparison matrix (PCM) into a real number. An inconsistency index can be considered more trustworthy when it satisfies a set of suitable properties. Therefore, the research community has been trying to postulate a set of desirable rules (axioms, properties) for inconsistency indices. Subsequently, various axiomatic frameworks for these functions have been proposed independently. However, the existing literature remains fragmented and lacks a unifying framework. Therefore, the objective of this article is twofold. Over the past decade (2014-2024), significant progress has been made in the axiomatization of inconsistency indices' properties. In this article, we first provide a comprehensive review of these advancements. We then critically evaluate and compare the aforementioned axiomatic structures, discussing future research directions.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10201 - Computer sciences, information science, bioinformathics (hardware development to be 2.2, social aspect to be 5.8)
Result continuities
Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2025
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
International Journal of Mathematical, Engineering and Management Sciences
ISSN
2455-7749
e-ISSN
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Volume of the periodical
10
Issue of the periodical within the volume
1
Country of publishing house
IN - INDIA
Number of pages
20
Pages from-to
265-284
UT code for WoS article
001396070500015
EID of the result in the Scopus database
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