×

On the optimal consistent approximation to pairwise comparison matrices. (English) Zbl 0905.62005

In the process of knowledge acquisition, one important approach is to introduce weights reflecting the relative significance of the objectives concerned. In reality, however, these weights either cannot be precisely assigned or are assigned with biased judgements. Here, an important issue of retrieving consistency from data that are in disarray is discussed. A special parametrization that enables to carry out this validation process effectively has been proposed.
Reviewer: V.P.Gupta (Jaipur)

MSC:

62C99 Statistical decision theory
PDF BibTeX XML Cite
Full Text: DOI

References:

[1] D. Cox, J. Little, and D. O’Shea, Using Algebraic Geometry, Springer-Verlag, to appear.
[2] Crawford, G., The geometric Mean procedure for estimating the scale of judgment matrix, Math. modelling, 9, 327-334, (1987) · Zbl 0624.62108
[3] Grace, A., Optimization toolbox User’s guide, (1992), The MathWorks
[4] Herman, M.; Koczkodaj, W., A Monte Carlo study of pairwise comparison, Inform. process. lett., 57, 25-29, (1996) · Zbl 1004.68550
[5] Jensen, R., An alternative scaling method for priorities in hierarchical structures, J. math. psychol., 28, 317-332, (1984)
[6] Saaty, T.; Vargas, L., Comparison of eigenvalue, logarithmic least square and least square methods in estimating ratios, Math. modelling, 5, 309-324, (1984) · Zbl 0584.62102
[7] Thurstone, L.L., A law of comparative judgments, Psychol. rev., 34, 273-286, (1927)
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.