J 2018

Some Notes on the Properties of Inconsistency Indices in Pairwise Comparisons

MAZUREK, Jiří

Basic information

Original name

Some Notes on the Properties of Inconsistency Indices in Pairwise Comparisons

Authors

MAZUREK, Jiří (203 Czech Republic, guarantor, belonging to the institution)

Edition

Operations Research and Decisions, 2018, 2081-8858

Other information

Language

English

Type of outcome

Article in a journal

Field of Study

10103 Statistics and probability

Country of publisher

Poland

Confidentiality degree

is not subject to a state or trade secret

RIV identification code

RIV/47813059:19520/18:00011089

Organization unit

School of Business Administration in Karvina

Keywords in English

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

Links

GA18-01246S, research and development project.
Changed: 7/2/2020 10:56, RNDr. Daniel Jakubík

Abstract

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.