J 2023

A comparative study on precision of pairwise comparison matrices

CAVALLO, Bice, Jiří MAZUREK and Jaroslav RAMÍK

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

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.