CAVALLO, Bice, Jiří MAZUREK and Jaroslav RAMÍK. A comparative study on precision of pairwise comparison matrices. Fuzzy optimization and decision making. 2023, vol. 2023, neuvedeno, p. 1-20. ISSN 1573-2908.
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Basic information
Original name A comparative study on precision of pairwise comparison matrices
Authors CAVALLO, Bice (380 Italy, guarantor), Jiří MAZUREK (203 Czech Republic, belonging to the institution) and Jaroslav RAMÍK (203 Czech Republic, belonging to the institution).
Edition Fuzzy optimization and decision making, 2023, 1573-2908.
Other information
Original language English
Type of outcome Article in a journal
Field of Study 10200 1.2 Computer and information sciences
Country of publisher United States of America
Confidentiality degree is not subject to a state or trade secret
WWW URL
RIV identification code RIV/47813059:19520/23:A0000420
Organization unit School of Business Administration in Karvina
UT WoS 001094483600001
Keywords in English Multi-criteria decision making; Pairwise comparison matrix; Precision; Abelian linearly ordered group
Changed by Changed by: Miroslava Snopková, učo 43819. Changed: 1/4/2024 09:42.
Abstract
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.
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