Digital Library of Zielona Góra contains 9 272 digital objects
Object
Title: The limit of inconsistency reduction in pairwise comparisons
Contributor:
Korbicz, Józef (1951- ) - red. ; Uciński, Dariusz - red.
Group publication title:
Abstract:
This study provides a proof that the limit of a distance-based inconsistency reduction process is a matrix induced by the vector of geometric means of rows when a distance-based inconsistent pairwise comparisons matrix is transformed into a consistent PC matrix by stepwise inconsistency reduction in triads. The distance-based inconsistency indicator was defined by Koczkodaj (1993) for pairwise comparisons. ; Its convergence was analyzed in 1996 (regretfully, with an incomplete proof) and finally completed in 2010. However, there was no interpretation provided for the limit of convergence despite its considerable importance. This study also demonstrates that the vector of geometric means and the right principal eigenvector are linearly independent for the pairwise comparisons matrix size greater than three, although both vectors are identical (when normalized) for a consistent PC matrix of any size.
Publisher:
Zielona Góra: Uniwersytet Zielonogórski
Resource Identifier:
DOI:
Pages:
Source:
AMCS, volume 26, number 3 (2016) ; click here to follow the link
Language:
License CC BY 4.0:
Rights:
Biblioteka Uniwersytetu Zielonogórskiego
Object collections:
- Repository > Faculties > Faculty of Computer, Electrical and Control Engineering
- Repository > Types of work > Articles
- Repository > Scientific journals and UZ publishing series > International Journal of Applied Mathematics and Computer Science (AMCS) > International Journal of Applied Mathematics and Computer Science (AMCS) (2016)
Last modified:
Jul 14, 2025
In our library since:
May 21, 2024
Number of object content hits:
119
All available object's versions:
https://zbc.uz.zgora.pl/repozytorium/publication/89037
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 26, number 1 (2016)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 26, number 2 (2016)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 26, number 3 (2016)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 26, number 4 (2016)
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| Edition name | Date |
|---|---|
| The limit of inconsistency reduction in pairwise comparisons | Jul 14, 2025 |
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