A common framework for deriving preference values from pairwise comparison matrices
作者： E.U. Choo , W.C. Wedley
DOI: 10.1016/S0305-0548(03)00042-X
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摘要: Pairwise comparison is commonly used to estimate preference values of finite alternatives with respect a given criterion. We discuss 18 estimating methods for deriving from pairwise judgment matrices under common framework effectiveness: distance minimization and correctness in error free cases. point out the importance commensurate scales when aggregating all columns matrix desirability weighting according values. The useful differentiating strength weakness estimated methods. Some results these on two sets small large errors are presented. also give insight regarding underlying mathematical structure some
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Jane W. Moy, Kim Fung Lam, Eng Ung Choo, Deriving the partial values in MCDM by goal programming Annals of Operations Research. ,vol. 74, pp. 277- 288 ,(1997) , 10.1023/A:1018930723267
Eng U. Choo, Bertram Schoner, William C. Wedley, Interpretation of criteria weights in multicriteria decision making Computers & Industrial Engineering. ,vol. 37, pp. 527- 541 ,(1999) , 10.1016/S0360-8352(00)00019-X
John Fichtner, On deriving priority vectors from matrices of pairwise comparisons Socio-economic Planning Sciences. ,vol. 20, pp. 341- 345 ,(1986) , 10.1016/0038-0121(86)90045-5
Wade D. Cook, Moshe Kress, Deriving weights from pairwise comparison ratio matrices: An axiomatic approach European Journal of Operational Research. ,vol. 37, pp. 355- 362 ,(1988) , 10.1016/0377-2217(88)90198-1
Thomas L. Saaty, Luis G. Vargas, Comparison of eigenvalue, logarithmic least squares and least squares methods in estimating ratios Mathematical Modelling. ,vol. 5, pp. 309- 324 ,(1984) , 10.1016/0270-0255(84)90008-3
J Barzilai, Deriving weights from pairwise comparison matrices Journal of the Operational Research Society. ,vol. 48, pp. 1226- 1232 ,(1997) , 10.1057/PALGRAVE.JORS.2600474
Christian Genest, Louis-Paul Rivest, None, A statistical look at Saaty's method of estimating pairwise preferences expressed on a ratio scale Journal of Mathematical Psychology. ,vol. 38, pp. 477- 496 ,(1994) , 10.1006/JMPS.1994.1034
F.A. Lootsma, A model for the relative importance of the criteria in the Multiplicative AHP and SMART European Journal of Operational Research. ,vol. 94, pp. 467- 476 ,(1996) , 10.1016/0377-2217(95)00129-8
B. Golany, M. Kress, A multicriteria evaluation of methods for obtaining weights from ratio-scale matrices European Journal of Operational Research. ,vol. 69, pp. 210- 220 ,(1993) , 10.1016/0377-2217(93)90165-J
Jacques Carriere, Mark Finster, Statistical theory for the ratio model of paired comparisons Journal of Mathematical Psychology. ,vol. 36, pp. 450- 460 ,(1992) , 10.1016/0022-2496(92)90031-2