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Salo, A. A., & Hämäläinen, R. P. (1997). On the measurement of preferences in the analytic hierarchy process. Journal of multi-criteria decision analysis, 6, 309–319. 
Added by: Klaus D. Goepel (06 Jun 2019 13:52:27 Asia/Singapore)   Last edited by: Klaus D. Goepel (10 Jun 2019 00:19:16 Asia/Singapore)
Resource type: Journal Article
BibTeX citation key: Salo1997
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Categories: AHP/ANP
Keywords: Analytic Hierarchy Process (AHP), balanced scale, criteria weights, hierarchical weighting, ratio scales, scale, scale functions, SMART
Creators: Hämäläinen, Salo
Collection: Journal of multi-criteria decision analysis
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Abstract
In this paper we apply multiattribute value theory as a framework for examining the use of pairwise comparisons in the analytic hierarchy process (AHP). On one hand our analysis indicates that pairwise comparisons should be understood in terms of preference differences between pairs of alternatives. On the other hand it points out undesirable effects caused by the upper bound and the discretization of any given ratio scale. Both these observations apply equally well to the SMART procedure which also uses estimates of weight ratios. Furthermore, we demonstrate that the AHP can be modified so as to produce results similar to those of multiattribute value measurement; we also propose new balanced scales to improve the sensitivity of the AHP ratio scales. Finally we show that the so-called supermatrix technique does not eliminate the rank reversal phenomenon which can be attributed to the normalizations in the AHP.
Added by: Klaus-admin  Last edited by: Klaus D. Goepel
Notes
Balanced Scale
  
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