Characterization of an inconsistency ranking for pairwise comparison matrices

被引：26
|
作者：
Csato, Laszlo [1 ,2 ]
机构：
[1] Hungarian Acad Sci MTA SZTAKI, Inst Comp Sci & Control, Res Grp Operat Res & Decis Syst, Lab Engn & Management Intelligence, Budapest, Hungary
[2] Corvinus Univ Budapest BCE, Dept Operat Res & Actuarial Sci, Budapest, Hungary
来源：
ANNALS OF OPERATIONS RESEARCH | 2018年 / 261卷 / 1-2期
关键词：
Pairwise comparisons; Analytic Hierarchy Process (AHP); Inconsistency index; Axiomatic approach; Characterization; CONSISTENCY INDEX; HIRSCH-INDEX; AXIOMATIZATION; DEFINITION;
D O I：
10.1007/s10479-017-2627-8
中图分类号：
C93 [管理学]; O22 [运筹学];
学科分类号：
070105 ; 12 ; 1201 ; 1202 ; 120202 ;
摘要：
Pairwise comparisons between alternatives are a well-known method for measuring preferences of a decision-maker. Since these often do not exhibit consistency, a number of inconsistency indices has been introduced in order to measure the deviation from this ideal case. We axiomatically characterize the inconsistency ranking induced by the Koczkodaj inconsistency index: six independent properties are presented such that they determine a unique linear order on the set of all pairwise comparison matrices.
引用
收藏
页码：155 / 165
页数：11
相关论文
共 50 条
  • [21] PAIRWISE COMPARISON AND RANKING
    BUHLMANN, H
    HUBER, P
    ANNALS OF MATHEMATICAL STATISTICS, 1962, 33 (02): : 825 - &
  • [22] A gradient method for inconsistency reduction of pairwise comparisons matrices
    Magnot, Jean-Pierre
    Mazurek, Jiri
    Cernanova, Viera
    INTERNATIONAL JOURNAL OF APPROXIMATE REASONING, 2023, 152 : 46 - 58
  • [23] New inconsistency indicators for incomplete pairwise comparisons matrices
    Szybowski, Jacek
    Kulakowski, Konrad
    Prusak, Anna
    MATHEMATICAL SOCIAL SCIENCES, 2020, 108 : 138 - 145
  • [24] Ranking and selection for pairwise comparison
    Xiao, Hui
    Zhang, Yao
    Kou, Gang
    Zhang, Si
    Branke, Juergen
    NAVAL RESEARCH LOGISTICS, 2023, 70 (03) : 284 - 302
  • [25] PAIRWISE COMPARISON AND RANKING IN TOURNAMENTS
    BUHLMANN, H
    HUBER, PJ
    ANNALS OF MATHEMATICAL STATISTICS, 1963, 34 (02): : 501 - &
  • [26] Optimal Inconsistency Repairing of Pairwise Comparison Matrices Using Integrated Linear Programming and Eigenvector Methods
    Zhang, Haiqing
    Sekhari, Aicha
    Ouzrout, Yacine
    Bouras, Abdelaziz
    MATHEMATICAL PROBLEMS IN ENGINEERING, 2014, 2014
  • [27] On the spectrum of pairwise comparison matrices
    Farkas, A
    György, A
    Rózsa, P
    LINEAR ALGEBRA AND ITS APPLICATIONS, 2004, 385 : 443 - 462
  • [28] Balancing Pairwise Comparison Matrices by Transitive Matrices
    Farkas, Andras
    FUNDAMENTA INFORMATICAE, 2016, 144 (3-4) : 397 - 417
  • [29] Remarks about Inconsistency Analysis in the Pairwise Comparison Technique
    Grzybowski, Andrzej Z.
    Starczewski, Tomasz
    2017 IEEE 14TH INTERNATIONAL SCIENTIFIC CONFERENCE ON INFORMATICS, 2017, : 227 - 231
  • [30] A method for approximating pairwise comparison matrices by consistent matrices
    János Fülöp
    Journal of Global Optimization, 2008, 42 : 423 - 442
12345