Analysis of Pairwise Comparison Matrices
作者： Jacinto González-PachóN , Carlos Romero
DOI: 10.1002/9780470400531.EORMS1089
关键词: Mathematics 、 Preference (economics) 、 Feature (machine learning) 、 Potentially all pairwise rankings of all possible alternatives 、 Simple (abstract algebra) 、 Mathematical optimization 、 Group (mathematics) 、 Rationality 、 Pairwise comparison 、 Goal programming
摘要: Pairwise comparison method is a powerful and simple tool for modeling decision-making problems when n objects (alternatives, criteria, etc.) are involved. In this article, the description begins with brief comment about its historical roots. Special emphasis placed on possible levels of rationality decision maker how feature conditions mathematical methods used to derive preferential weights from pairwise matrix. This issue linked in natural way problem aggregating individual matrices into consensus The article concludes discussion main advantages real-world problems. Keywords: pairwise comparisons; goal programming; preference modeling; group decision; distance-based
sci-hub.se 参考文章(34)
Thomas L. Saaty, The Analytic Hierarchy and Analytic Network Processes for the Measurement of Intangible Criteria and for Decision-Making Springer, New York, NY. pp. 363- 419 ,(2016) , 10.1007/978-1-4939-3094-4_10
Sándor Bozóki, Tamás Rapcsák, None, On Saaty's and Koczkodaj's inconsistencies of pairwise comparison matrices Journal of Global Optimization. ,vol. 42, pp. 157- 175 ,(2008) , 10.1007/S10898-007-9236-Z
George Armitage Miller, The magical number seven plus or minus two: some limits on our capacity for processing information ,(1956)
D F Jones, S J Mardle, A distance-metric methodology for the derivation of weights from a pairwise comparison matrix Journal of the Operational Research Society. ,vol. 55, pp. 869- 875 ,(2004) , 10.1057/PALGRAVE.JORS.2601745
R. Ramanathan, L.S. Ganesh, Group preference aggregation methods employed in AHP: An evaluation and an intrinsic process for deriving members' weightages European Journal of Operational Research. ,vol. 79, pp. 249- 265 ,(1994) , 10.1016/0377-2217(94)90356-5
Jacinto González-Pachón, Carlos Romero, A method for dealing with inconsistencies in pairwise comparisons European Journal of Operational Research. ,vol. 158, pp. 351- 361 ,(2004) , 10.1016/J.EJOR.2003.06.009
S I Gass, Tournaments, transitivity and pairwise comparison matrices Journal of the Operational Research Society. ,vol. 49, pp. 616- 624 ,(1998) , 10.1057/PALGRAVE.JORS.2600572
Xu Zeshui, Wei Cuiping, A consistency improving method in the analytic hierarchy process European Journal of Operational Research. ,vol. 116, pp. 443- 449 ,(1999) , 10.1016/S0377-2217(98)00109-X
Pedro Linares, Are inconsistent decisions better? An experiment with pairwise comparisons European Journal of Operational Research. ,vol. 193, pp. 492- 498 ,(2009) , 10.1016/J.EJOR.2007.11.030
P.T. Harker, Incomplete pairwise comparisons in the analytic hierarchy process Mathematical Modelling. ,vol. 9, pp. 837- 848 ,(1987) , 10.1016/0270-0255(87)90503-3