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Obiekt
Tytuł: 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) ; kliknij tutaj, żeby przejść
Language:
License CC BY 4.0:
Rights:
Biblioteka Uniwersytetu Zielonogórskiego
Kolekcje, do których przypisany jest obiekt:
- Digital Library of Zielona Góra > Repository > Faculties > Faculty of Computer, Electrical and Control Engineering
- Digital Library of Zielona Góra > Repository > Types of work > Articles
- Digital Library of Zielona Góra > 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)
Data ostatniej modyfikacji:
Jul 14, 2025
Data dodania obiektu:
May 21, 2024
Liczba wyświetleń treści obiektu:
140
Wszystkie dostępne wersje tego obiektu:
https://zbc.uz.zgora.pl/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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| Nazwa wydania | Data |
|---|---|
| The limit of inconsistency reduction in pairwise comparisons | Jul 14, 2025 |
Obiekty Podobne
Żak, Bogdan Korbicz, Józef (1951- ) - red. Uciński, Dariusz - red.
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Kowalczuk, Zdzisław Czubenko, Michał Korbicz, Józef (1951- ) - red. Uciński, Dariusz - red.
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Szymaniec-Mlicka, Karolina Moczulska, Marta - red. Preston, Peter- red. jęz. Stankiewicz, Janina - red. nacz. Zmyślony, Roman - red. statyst. Adamczyk, Janusz- red. Skalik, Jan - red.
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Kubiszyn, Katarzyna Kuczyński, Tadeusz - red.
