MAZUREK, Jiří. New preference violation indices for the condition of order preservation. RAIRO-Operations Research. 2022, vol. 56, No 1, p. 367-380. ISSN 0399-0559. Available from: https://dx.doi.org/10.1051/ro/2022007.
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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
Original 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
WWW URL
RIV identification code RIV/47813059:19520/22:A0000287
Organization unit School of Business Administration in Karvina
Doi http://dx.doi.org/10.1051/ro/2022007
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 by Changed by: doc. Mgr. Jiří Mazurek, Ph.D., učo 49433. Changed: 30/1/2023 08:36.
Abstract
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.
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