Selection Procedure of the Approximation Methods for Deriving Priorities: A Case of Inconsistent Pairwise Comparisons
Publié en ligne: 10 oct. 2024
Pages: 21 - 30
Reçu: 25 janv. 2024
Accepté: 05 mai 2024
DOI: https://doi.org/10.2478/bsrj-2024-0015
Mots clés
© 2024 Vesna Čančer et al., published by Sciendo
This work is licensed under the Creative Commons Attribution 4.0 International License.
Background
When pairwise comparisons are used to express preferences for alternatives or judgments on criteria's importance, several methods can be used to derive priorities in multi-criteria decision-making. In the case of inconsistency, different methods give different results.
Objectives
The main goal of this paper is to present the procedure of measuring the accuracy of the selected approximation methods based on pairwise comparisons compared to the priorities obtained by the eigenvalue method. It also aims to illustrate the procedure on the numerical example characterised by acceptable inconsistency.
Methods/Approach
The presented procedure is based on a prescriptive approach, the fixed ratio scale, reciprocal pairwise comparison matrices, and consistency ratio. Mean absolute deviation and mean absolute percentage deviation are used to measure accuracy.
Results
The first result is the theoretical statement of the priorities’ accuracy measurement procedure. The results of the numerical example characterised by the preferences of strength slight to strong plus show that, on average, the most accurate approximation method is the geometric mean method.
Conclusions
The research contributes to the literature on prescriptive approaches to decision-making. The results can show potential users which approximation method to use and lecturers which of them to include in the curriculum portfolio.