| Issue |
RAIRO-Oper. Res.
Volume 56, Number 1, January-February 2022
|
|
|---|---|---|
| Page(s) | 367 - 380 | |
| DOI | https://doi.org/10.1051/ro/2022007 | |
| Published online | 07 February 2022 | |
New preference violation indices for the condition of order preservation
Silesian University in Opava, Opava, Czech Republic
* Corresponding author: mazurek@opf.slu.cz
Received:
9
March
2020
Accepted:
11
January
2022
Consistency of pairwise comparisons is one particular aspect that is studied thoroughly in the recent decades. However, since the introduction of the concept of the condition of the order preservation in 2008, there is no inconsistency measure based on the aforementioned condition. Therefore, the aim of this paper is to fill this gap and propose new preference violation indices for measuring violation of the condition of the order preservation. Further, an axiomatic system for the proposed measures is discussed, and it is shown that the proposed indices satisfy uniqueness, invariance under permutation, invariance under inversion of preferences and continuity axioms.
Mathematics Subject Classification: 03F25 / 90B50
Key words: Pairwise comparisons / condition of order preservation / inconsistency / preference violation index
© The authors. Published by EDP Sciences, ROADEF, SMAI 2022
This is an Open Access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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