Digitální knihovnaUPCE
 

The problem of different pairwise comparisons scales in the AHP framework

Článekpeer-reviewedpublished
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Datum publikování

2019

Vedoucí práce

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Vydavatel

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)

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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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open access

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Klíčová slova

AHP, normalization, pairwise comparisons, comparison scale

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