Abstract
Two broad approaches are commonly used in the Analytic Hierarchy Process for deriving a suitable ranking of alternatives from an interval judgement matrix. In the present study these approaches are examined from a statistical perspective and are extended and developed accordingly. The ideas are introduced and illustrated by means of a simple example.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Arbel, A. (1989). “Approximate articulation of preference and priority derivation”, European Journal of Operational Research, 43, 317–326.
Arbel, A. and Vargas, L.G. (1992), “The Analytic Hierarchy Process with interval judgements”, Multiple Criteria Decision Making: Proceedings of the 9th International Conference held in Fairfax, Virginia, 1990, Eds. A. Goicoechea, L. Duckstein, and S. Zionts, 61–70.
Arbel, A. and Vargas, L.G. (1993), “Preference simulation and preference programming: robustness issues in priority derivation”, European Journal of Operational Research, 69, 200–209.
Crawford, G. and Williams, C. (1985), “A note on the analysis of subjective judgment matrices”, Journal of Mathematical Psychology, 29, 387–405.
Islei, G. and Lockett, A.G. (1988), “Judgemental modelling based on geometric least square”, European Journal of Operational Research, 36, 27–35.
Moreno-Jimenez, J.M. and Vargas, L.G. (1993), “A probabilistic study of preference structures in the Analytic Hierarchy Process with interval judgements”, Mathematical and Computational Modelling, 17, 73–81.
Olson, D.L. and Dorai, V.K. (1992), “Implementation of the centroid method of Solymosi and Dombi”, European Journal of Operational Research, 60, 117–129.
Saaty, T. L. (1980), The Analytic Hierarchy Process, McGraw-Hill, New York.
Saaty, T.L. and Vargas, L.G. (1984), “Comparison of eigenvalue, logarithmic least squares and least squares methods in estimating ratios”, Mathematical Modelling, 5, 309–324.
Saaty, T.L. and Vargas, L.G. (1987), “Uncertainty and rank order in the Analytic Hierarchy Process”, European Journal of Operational Research, 32,107–117.
Salo, A. and Hamalainen R.P. (1995), “Preference programming through approximate ratio comparisons”, European Journal of Operational Research, 82, 458–475.
Solymosi, T. and Dombi, J. (1986), “A method for determining the weights of criteria: the centralized weights”, European Journal of Operational Research, 26, 35–41.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1998 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
Haines, L.M. (1998). Interval Judgements in the Analytic Hierarchy Process: A Statistical Perspective. In: Stewart, T.J., van den Honert, R.C. (eds) Trends in Multicriteria Decision Making. Lecture Notes in Economics and Mathematical Systems, vol 465. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-45772-2_8
Download citation
DOI: https://doi.org/10.1007/978-3-642-45772-2_8
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-64741-6
Online ISBN: 978-3-642-45772-2
eBook Packages: Springer Book Archive