New preference violation indices for the condition of order preservation

@article{64365,
   author = {Mazurek, Jiří},
   article_number = {1},
   doi = {http://dx.doi.org/10.1051/ro/2022007},
   keywords = {Pairwise comparisons; condition of order preservation; inconsistency; preference violation index},
   language = {eng},
   issn = {0399-0559},
   journal = {RAIRO-Operations Research},
   title = {New preference violation indices for the condition of order preservation},
   url = {https://www.rairo-ro.org/articles/ro/abs/2022/01/ro200124/ro200124.html},
   volume = {56},
   year = {2022}
}

TY  - JOUR
ID  - 64365
AU  - Mazurek, Jiří
PY  - 2022
TI  - New preference violation indices for the condition of order preservation
JF  - RAIRO-Operations Research
VL  - 56
IS  - 1
SP  - 367-380
EP  - 367-380
SN  - 03990559
KW  - Pairwise comparisons
KW  - condition of order preservation
KW  - inconsistency
KW  - preference violation index
UR  - https://www.rairo-ro.org/articles/ro/abs/2022/01/ro200124/ro200124.html
N2  - 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.
ER  - 

MAZUREK, Jiří. New preference violation indices for the condition of order preservation. \textit{RAIRO-Operations Research}. 2022, roč.~56, č.~1, s.~367-380. ISSN~0399-0559. Dostupné z: https://dx.doi.org/10.1051/ro/2022007.