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.
| Original language | English |
|---|---|
| Pages (from-to) | 309 - 319 |
| Number of pages | 11 |
| Journal | Journal of Multi-Criteria Decision Analysis |
| Volume | 6 |
| Issue number | 6 |
| DOIs | |
| Publication status | Published - 1997 |
| MoE publication type | A1 Journal article-refereed |
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On the measurement of preferences in the analytic hierarchy process. / Salo, Ahti; Hämäläinen, Raimo.
In: Journal of Multi-Criteria Decision Analysis, Vol. 6, No. 6, 1997, p. 309 - 319.Research output: Contribution to journal › Article › Scientific › peer-review
TY - JOUR
T1 - On the measurement of preferences in the analytic hierarchy process
AU - Salo, Ahti
AU - Hämäläinen, Raimo
PY - 1997
Y1 - 1997
N2 - 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.
AB - 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.
U2 - 10.1002/(SICI)1099-1360(199711)6:6<309::AID-MCDA163>3.0.CO;2-2
DO - 10.1002/(SICI)1099-1360(199711)6:6<309::AID-MCDA163>3.0.CO;2-2
M3 - Article
VL - 6
SP - 309
EP - 319
JO - Journal of Multi-Criteria Decision Analysis
JF - Journal of Multi-Criteria Decision Analysis
SN - 1057-9214
IS - 6
ER -