An analysis of distributions of priority values from alternative comparison scales within AHP

Beynon, Malcolm James ORCID: https://orcid.org/0000-0002-5757-270X 2002. An analysis of distributions of priority values from alternative comparison scales within AHP. European Journal of Operational Research 140 (1) , pp. 104-117. 10.1016/S0377-2217(01)00221-1

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Abstract

The analytic hierarchy process (AHP) introduced by T.L. Saaty is a well known and popular method of multi-criteria decision making. Central to this method are the pairwise comparisons between criteria (and decision alternatives) made using a 9-unit scale. The appropriateness of Saaty's original one-to-nine (1–9) scale has been the subject of much debate and cause for concern. This paper contrasts the appropriateness of the 1–9 scale with other alternative 9-unit scales also used in AHP, by looking at the probability distributions of the associated priority values. For large problems, estimated probability distributions are found for the priority values through using the method of Parzen Windows.

Item Type:	Article
Date Type:	Publication
Status:	Published
Schools:	Business (Including Economics)
Subjects:	H Social Sciences > H Social Sciences (General) Q Science > QA Mathematics
Uncontrolled Keywords:	Analytic hierarchy process; Multi-criteria decision making; Parzen Windows; Priority values; Scale values
Publisher:	Elsevier
ISSN:	0377-2217
Last Modified:	21 Oct 2022 09:50
URI:	https://orca.cardiff.ac.uk/id/eprint/37987

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