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@article{74615, author = {Cavallo, Bice and Mazurek, Jiří and Ramík, Jaroslav}, article_number = {neuvedeno}, keywords = {Multi-criteria decision making; Pairwise comparison matrix; Precision; Abelian linearly ordered group}, language = {eng}, issn = {1573-2908}, journal = {Fuzzy optimization and decision making}, title = {A comparative study on precision of pairwise comparison matrices}, url = {https://link.springer.com/article/10.1007/s10700-023-09416-4}, volume = {2023}, year = {2023} }
TY - JOUR ID - 74615 AU - Cavallo, Bice - Mazurek, Jiří - Ramík, Jaroslav PY - 2023 TI - A comparative study on precision of pairwise comparison matrices JF - Fuzzy optimization and decision making VL - 2023 IS - neuvedeno SP - 1-20 EP - 1-20 SN - 15732908 KW - Multi-criteria decision making KW - Pairwise comparison matrix KW - Precision KW - Abelian linearly ordered group UR - https://link.springer.com/article/10.1007/s10700-023-09416-4 N2 - Pairwise comparisons have been a long-standing technique for comparing alternatives/criteria and their role has been pivotal in the development of modern decision making methods such as the Analytic Hierarchy/Network Process (AHP/ANP), the Best-Worst method (BWM), PROMETHEE and many others. Pairwise comparisons can be performed within several frameworks such as multiplicative, additive and fuzzy representations of preferences, which are particular instances of a more general framework based on Abelian linearly ordered groups. Though multiplicative, additive and fuzzy representations of preferences are widely used in practice, it is unknown whether decision makers are equally precise in the three aforementioned representations when they measure objective data. Therefore, the aim of this paper is to design, carry out and analyse an experiment with over 200 respondents (undergraduate university students) from two countries, Czechia and Italy, to compare precision of the respondents in all three representations. In the experiment, respondents pairwise compared (by approximation) the areas of four geometric figures and then, the imprecision of their assessments was measured by computing the distance with the exact pairwise comparisons. We grouped the respondents in such a way that each participant was allowed to deal with a unique type of representation. The outcomes of the experiment indicate that the multiplicative approach is the most precise. ER -
CAVALLO, Bice, Jiří MAZUREK and Jaroslav RAMÍK. A comparative study on precision of pairwise comparison matrices. \textit{Fuzzy optimization and decision making}. 2023, vol.~2023, neuvedeno, p.~1-20. ISSN~1573-2908.
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