On the similarity between ranking vectors in the pairwise comparison method

Autor:	Kułakowski, Konrad, Mazurek, Jiří, Strada, Michał
Rok vydání:	2020
Předmět:	Computer Science - Discrete Mathematics Mathematics - Statistics Theory
Druh dokumentu:	Working Paper
DOI:	10.1080/01605682.2021.1947754
Popis:	There are many priority deriving methods for pairwise comparison matrices. It is known that when these matrices are consistent all these methods result in the same priority vector. However, when they are inconsistent, the results may vary. The presented work formulates an estimation of the difference between priority vectors in the two most popular ranking methods: the eigenvalue method and the geometric mean method. The estimation provided refers to the inconsistency of the pairwise comparison matrix. Theoretical considerations are accompanied by Montecarlo experiments showing the discrepancy between the values of both methods. Comment: 18 pages, 4 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2010.04778 Zobrazit plný text záznamu View this record from Arxiv