Detailed Information on Publication Record
2023
A comparative study on precision of pairwise comparison matrices
CAVALLO, Bice, Jiří MAZUREK and Jaroslav RAMÍKBasic 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
Language
English
Type of outcome
Článek v odborném periodiku
Field of Study
10200 1.2 Computer and information sciences
Country of publisher
United States of America
Confidentiality degree
není předmětem státního či obchodního tajemství
References:
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
Změněno: 1/4/2024 09:42, Miroslava Snopková
Abstract
V originále
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.