2022
New preference violation indices for the condition of order preservation
MAZUREK, JiříBasic 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
Article in a journal
Field of Study
10200 1.2 Computer and information sciences
Country of publisher
France
Confidentiality degree
is not subject to a state or trade secret
References:
Impact factor
Impact factor: 1.800
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.
Changed: 30/1/2023 08:36, doc. Mgr. Jiří Mazurek, Ph.D.
Abstract
In the original language
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.