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.
Keywords: Pairwise comparisons, condition of order preservation, inconsistency, preference violation index
@article{RO_2022__56_1_367_0,
author = {Mazurek, Ji\v{r}{\'\i}},
title = {New preference violation indices for the condition of order preservation},
journal = {RAIRO. Operations Research},
pages = {367--380},
year = {2022},
publisher = {EDP-Sciences},
volume = {56},
number = {1},
doi = {10.1051/ro/2022007},
mrnumber = {4376279},
language = {en},
url = {https://www.numdam.org/articles/10.1051/ro/2022007/}
}
TY - JOUR AU - Mazurek, Jiří TI - New preference violation indices for the condition of order preservation JO - RAIRO. Operations Research PY - 2022 SP - 367 EP - 380 VL - 56 IS - 1 PB - EDP-Sciences UR - https://www.numdam.org/articles/10.1051/ro/2022007/ DO - 10.1051/ro/2022007 LA - en ID - RO_2022__56_1_367_0 ER -
Mazurek, Jiří. New preference violation indices for the condition of order preservation. RAIRO. Operations Research, Tome 56 (2022) no. 1, pp. 367-380. doi: 10.1051/ro/2022007
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