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@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.
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