The problem of different pairwise comparisons scales in the AHP framework
Článekpeer-reviewedpublishedSoubory
Datum publikování
2019
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Univerzita Pardubice
Abstrakt
In pairwise comparisons, several scales are used to compare objects.
Perhaps the most known is Saaty’s fundamental scale for the AHP/ANP from 1 to 9
(with reciprocals), but other scales with 3, 5 or 10 items are also used in practice.
Since the AHP/ANP is scale invariant, the following problem arises: for example, a
preference of one object over other object expressed by the value 2 means something
else for the scale from 1 to 3 (it expresses the medium preference) and the scale from 1
to 100 (in this case the preference is almost negligible). Therefore, the need of a
normalization for pairwise comparison scales arises. The aim of the article is to
propose a suitable transformation of a general linear scale for pairwise comparisons
to a unit real interval that preserves several natural and desirable properties.
Rozsah stran
p. 124 - 133
ISSN
1211-555X (Print)
1804-8048 (Online)
1804-8048 (Online)
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Zdrojový dokument
Scientific papers of the University of Pardubice. Series D, Faculty of Economics and Administration. 46/2019
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Klíčová slova
AHP, normalization, pairwise comparisons, comparison scale