Interval estimation of priorities in the AHP

Stan Lipovetsky, Asher Tishler*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

64 Scopus citations


This paper extends and modifies the Analytic Hierarchy Process (AHP) and the Synthetic Hierarchy Method (SHM) of priority estimation to accommodate random data in the pairwise comparison matrices. It employs a Cauchy distribution to describe the pairwise comparison of alternatives in Saaty matrices, and shows how to modify these matrices in order to handle random data. The use of random data yields Saaty matrices that are not reciprocally symmetrical. Several variants of the AHP are then modified (i) to accommodate reciprocally asymmetric matrices, and (ii) to allow each priority estimate to be expressed on an interval of possible values, rather than as a single discrete point. The merits of interval estimation are illustrated by an example.

Original languageEnglish
Pages (from-to)153-164
Number of pages12
JournalEuropean Journal of Operational Research
Issue number1
StatePublished - 1 Apr 1999


  • Analytic hierarchy process
  • Cauchy distribution
  • Interval estimation
  • Multiple criteria


Dive into the research topics of 'Interval estimation of priorities in the AHP'. Together they form a unique fingerprint.

Cite this