J 2022

New preference violation indices for the condition of order preservation

MAZUREK, Jiří

Basic information

Original name

New preference violation indices for the condition of order preservation

Authors

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

Edition

RAIRO-Operations Research, 2022, 0399-0559

Other information

Language

English

Type of outcome

Článek v odborném periodiku

Field of Study

10200 1.2 Computer and information sciences

Country of publisher

France

Confidentiality degree

není předmětem státního či obchodního tajemství

References:

RIV identification code

RIV/47813059:19520/22:A0000287

Organization unit

School of Business Administration in Karvina

UT WoS

000759047900018

Keywords in English

Pairwise comparisons; condition of order preservation; inconsistency; preference violation index

Tags

International impact, Reviewed

Links

GA21-03085S, research and development project.
Změněno: 30/1/2023 08:36, doc. Mgr. Jiří Mazurek, Ph.D.

Abstract

V originále

Consistency of pairwise comparisons is one particular aspect that is studied thoroughly in the recent decades. However, since the introduction of the concept of the condition of the order preservation in 2008, there is no inconsistency measure based on the aforementioned condition. Therefore, the aim of this paper is to fill this gap and propose new preference violation indices for measuring violation of the condition of the order preservation. Further, an axiomatic system for the proposed measures is discussed, and it is shown that the proposed indices satisfy uniqueness, invariance under permutation, invariance under inversion of preferences and continuity axioms.