An Overview and Comparison of Axiomatization Structures Regarding Inconsistency Indices’ Properties in Pairwise Comparisons Methods: A Decade of Advancements

Kód výsledku v 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>

Výsledek na webu

<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>

Jazyk výsledku

angličtina

Název v původním jazyce

An Overview and Comparison of Axiomatization Structures Regarding Inconsistency Indices’ Properties in Pairwise Comparisons Methods: A Decade of Advancements

Popis výsledku v původním jazyce

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.

Název v anglickém jazyce

An Overview and Comparison of Axiomatization Structures Regarding Inconsistency Indices’ Properties in Pairwise Comparisons Methods: A Decade of Advancements

Popis výsledku anglicky

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.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10201 - Computer sciences, information science, bioinformathics (hardware development to be 2.2, social aspect to be 5.8)

Projekt

—

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2025

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

International Journal of Mathematical, Engineering and Management Sciences

ISSN

2455-7749

e-ISSN

—

Svazek periodika

10

Číslo periodika v rámci svazku

1

Stát vydavatele periodika

IN - Indická republika

Počet stran výsledku

20

Strana od-do

265-284

Kód UT WoS článku

001396070500015

EID výsledku v databázi Scopus

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