Why We Need Desirable Properties in Pairwise Comparison Methods?
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F47813059%3A19520%2F24%3AA0000446" target="_blank" >RIV/47813059:19520/24:A0000446 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1002/mcda.70002" target="_blank" >http://dx.doi.org/10.1002/mcda.70002</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1002/mcda.70002" target="_blank" >10.1002/mcda.70002</a>
Alternative languages
Result language
angličtina
Original language name
Why We Need Desirable Properties in Pairwise Comparison Methods?
Original language description
Pairwise comparison matrices (PCMs) are inevitable tools in some important multiple-criteria decision-making methods, for example AHP/ANP, TOPSIS, PROMETHEE and others. In this paper, we investigate some important properties of PCMs which influence the generated priority vectors for the final ranking of the given alternatives. The main subproblem of the Analytic Hierarchy Process (AHP) is to calculate the priority vectors, that is, the weights assigned to the elements of the hierarchy (criteria, sub-criteria, and/or alternatives or variants), by using the information provided in the form of a pairwise comparison matrix. Given a set of elements, and a corresponding pairwise comparison matrix, whose entries evaluate the relative importance of the elements with respect to a given criterion, the final ranking of the given alternatives is evaluated. We investigate some important and natural properties of PCMs called the desirable properties, particularly, the non-dominance, consistency, intensity and coherence, which influence the generated priority vectors. Usually, the priority vector is calculated based on some well-known method, for example, the Eigenvector Method, the Arithmetic Mean Method, the Geometric Mean Method, the Least Square Method, and so forth. The novelty of our approach is that the priority vector is calculated as the solution of an optimization problem where an error objective function is minimised with respect to constraints given by the desirable properties. The properties of the optimal solution are discussed and some illustrating examples are presented. The corresponding software tool has been developed and demonstrated in some examples.
Czech name
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Czech description
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Classification
Type
J<sub>SC</sub> - Article in a specialist periodical, which is included in the SCOPUS database
CEP classification
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OECD FORD branch
10102 - Applied mathematics
Result continuities
Project
<a href="/en/project/GA21-03085S" target="_blank" >GA21-03085S: Supporting Decision Processes with Pairwise Comparisons and Data Mining</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2024
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
JOURNAL OF MULTI-CRITERIA DECISION ANALYSIS
ISSN
1057-9214
e-ISSN
1099-1360
Volume of the periodical
31
Issue of the periodical within the volume
5-6
Country of publishing house
US - UNITED STATES
Number of pages
10
Pages from-to
1-10
UT code for WoS article
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EID of the result in the Scopus database
2-s2.0-85211237442