Normalisation and rank reversals in the additive analytic hierarchy process: a new analysis

Sajjad Zahir

International Journal of Operational Research, 2009, vol. 4, issue 4, 446-467

Abstract: We provide an explicit derivation of a new aggregation rule that naturally incorporates the relative strength of normalisation with respect to different criteria. The proposed aggregation procedure avoids unwanted rank reversals in the additive Analytic Hierarchy Process. In the case of absolute measure, the strength of normalisation is manifested by the priority vector's norm that can be interpreted as the unit of measure. However, when we have only relative judgements, norms are unknown and thus the decision maker has to estimate the relative strength of normalisation. Simultaneously, the new aggregation mechanism allows acceptable rank reversals if imperfections of human behaviour are recognised.

Keywords: additive AHP; analytical hierarchy process; decision analysis; multiple criteria analysis; MCA; normalisation; aggregation rules; relative judgements. (search for similar items in EconPapers)
Date: 2009
References: Add references at CitEc
Citations: View citations in EconPapers (6)

Downloads: (external link)
http://www.inderscience.com/link.php?id=23538 (text/html)
Access to full text is restricted to subscribers.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:ids:ijores:v:4:y:2009:i:4:p:446-467

Access Statistics for this article

More articles in International Journal of Operational Research from Inderscience Enterprises Ltd
Bibliographic data for series maintained by Sarah Parker ().