J 2018

Some Notes on the Properties of Inconsistency Indices in Pairwise Comparisons

MAZUREK, Jiří

Základní údaje

Originální název

Some Notes on the Properties of Inconsistency Indices in Pairwise Comparisons

Autoři

MAZUREK, Jiří (203 Česká republika, garant, domácí)

Vydání

Operations Research and Decisions, 2018, 2081-8858

Další údaje

Jazyk

angličtina

Typ výsledku

Článek v odborném periodiku

Obor

10103 Statistics and probability

Stát vydavatele

Polsko

Utajení

není předmětem státního či obchodního tajemství

Kód RIV

RIV/47813059:19520/18:00011089

Organizační jednotka

Obchodně podnikatelská fakulta v Karviné

Klíčová slova anglicky

pairwise comparisons; AHP; inconsistency; inconsistency index; axioms of inconsistency

Návaznosti

GA18-01246S, projekt VaV.
Změněno: 7. 2. 2020 10:56, RNDr. Daniel Jakubík

Anotace

V originále

Pairwise comparisons are an important tool of modern (multiple criteria) decision making. Since human judgments are often inconsistent, many studies have focused on the means of expressing and measuring this inconsistency, and several inconsistency indices were proposed as an alternative to Saaty's inconsistency index, C. I., and consistency ratio, C. R., for reciprocal pairwise comparison matrices. The aims of this paper are threefold: firstly, a row inconsistency index (RIC) is proposed and the properties of this index are examined. Secondly, a comparison of selected inconsistency indices for a corner pairwise comparison matrix is provided. Last, but not least, another axiom about the upper bound on the value of an inconsistency index is postulated, and a set of selected inconsistency indices is examined with respect to this axiom. Numerical examples complete the paper.