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Knowledge-based Consistency Index for Fuzzy Pairwise Comparison Matrices
Kubler, Sylvain; Derigent, William; Voisin, Alexandre et al.
2017In Knowledge-based Consistency Index for Fuzzy Pairwise Comparison Matrices
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Keywords :
Analytic hierarchy process; Fuzzy logic; Multiple criteria decision-making; Consistency; Decision analysis
Abstract :
[en] Abstract—Fuzzy AHP is today one of the most used Multiple Criteria Decision-Making (MCDM) techniques. The main argument to introduce fuzzy set theory within AHP lies in its ability to handle uncertainty and vagueness arising from decision makers (when performing pairwise comparisons between a set of criteria/alternatives). As humans usually reason with granular information rather than precise one, such pairwise comparisons may contain some degree of inconsistency that needs to be properly tackled to guarantee the relevance of the result/ranking. Over the last decades, several consistency indexes designed for fuzzy pairwise comparison matrices (FPCMs) were proposed, as will be discussed in this article. However, for some decision theory specialists, it appears that most of these indexes fail to be properly “axiomatically” founded, thus leading to misleading results. To overcome this, a new index, referred to as KCI (Knowledge-based Consistency Index) is introduced in this paper, and later compared with an existing index that is axiomatically well founded. The comparison results show that (i) both indexes perform similarly from a consistency measurement perspective, but (ii) KCI contributes to significantly reduce the computation time, which can save expert’s time in some MCDM problems.
Disciplines :
Computer science
Author, co-author :
Kubler, Sylvain ;  University of Luxembourg > Interdisciplinary Centre for Security, Reliability and Trust (SNT)
Derigent, William;  Université de Lorraine > Centre de Recherche en Automatique de Nancy
Voisin, Alexandre;  Université de Lorraine > Centre de Recherche en Automatique de Nancy
Robert, Jérémy ;  University of Luxembourg > Interdisciplinary Centre for Security, Reliability and Trust (SNT)
Le Traon, Yves ;  University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Computer Science and Communications Research Unit (CSC)
External co-authors :
yes
Language :
English
Title :
Knowledge-based Consistency Index for Fuzzy Pairwise Comparison Matrices
Publication date :
10 July 2017
Event name :
IEEE International Conference on Fuzzy Systems
Event place :
Naples, Italy
Event date :
from 09-07-2017 to 12-07-2017
Audience :
International
Main work title :
Knowledge-based Consistency Index for Fuzzy Pairwise Comparison Matrices
Peer reviewed :
Peer reviewed
Focus Area :
Computational Sciences
European Projects :
H2020 - 688203 - bIoTope - Building an IoT OPen innovation Ecosystem for connected smart objects
FnR Project :
FNR9095399 - Internet Of Things For Context-aware Building Energy & Health Management, 2014 (01/07/2015-30/06/2017) - Sylvain Kubler
Funders :
CE - Commission Européenne [BE]
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since 24 August 2017

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