Some notes on non-reciprocal matrices in the multiplicative pairwise comparisons framework

@article{74610,
   author = {Mazurek, Jiří and Linares, Pedro},
   article_number = {neuvedeno},
   keywords = {pairwise comparisons; multiple-criteria decision making; reciprocity; consistency},
   language = {eng},
   issn = {0160-5682},
   journal = {Journal of the Operational Research Society},
   title = {Some notes on non-reciprocal matrices in the multiplicative pairwise comparisons framework},
   url = {https://www.tandfonline.com/doi/abs/10.1080/01605682.2023.2223229},
   volume = {neuvedeno},
   year = {2023}
}

TY  - JOUR
ID  - 74610
AU  - Mazurek, Jiří - Linares, Pedro
PY  - 2023
TI  - Some notes on non-reciprocal matrices in the multiplicative pairwise comparisons framework
JF  - Journal of the Operational Research Society
VL  - neuvedeno
IS  - neuvedeno
SP  - 1-13
EP  - 1-13
SN  - 01605682
KW  - pairwise comparisons
KW  - multiple-criteria decision making
KW  - reciprocity
KW  - consistency
UR  - https://www.tandfonline.com/doi/abs/10.1080/01605682.2023.2223229
N2  - In most pairwise comparisons methods such as the Analytic Hierarchy Process (AHP) it is assumed that pairwise comparisons are reciprocal, since this is a necessary condition for consistent judgments. However, several empirical studies have shown that the condition of reciprocity is not satisfied when dealing with real human preferences, which might be significantly non-reciprocal due to inherent cognitive biases. This empirical evidence indicates that the study of non-reciprocal pairwise comparisons matrices should not be neglected when dealing with real decision-making processes. However, the literature on this topic is scarce and fragmented. The aim of our study is to fill this gap by discussing advantages and disadvantages of using non-reciprocal judgements multiplicative pairwise comparisons (MPCs), reviewing existing literature and introducing a new measure of non-reciprocity with some natural and desirable properties. In addition, we perform Monte Carlo simulations on randomly generated non-reciprocal MPC matrices and provide percentile tables allowing decision makers to decide whether a level of non-reciprocity of a given MPC matrix is acceptable or not.
ER  - 

MAZUREK, Jiří a Pedro LINARES. Some notes on non-reciprocal matrices in the multiplicative pairwise comparisons framework. \textit{Journal of the Operational Research Society}. 2023, neuvedeno, neuvedeno, s.~1-13. ISSN~0160-5682.