R+Ramanathan+A+heuristics+approach+for+computing+16.05.16+.pdf (212.35 kB)
A heuristics approach for computing the largest eigenvalue of a pairwise comparison matrix
journal contribution
posted on 2023-06-09, 04:15 authored by Nachiappan SubramanianNachiappan Subramanian, Ramakrishnan RamanathanPairwise comparison matrices (PCMs) are widely used to capture subjective human judgements, especially in the context of the Analytic Hierarchy Process (AHP). Consistency of judgements is normally computed in AHP context in the form of consistency ratio (CR), which requires estimation of the largest eigenvalue (?max) of PCMs. Since many of these alternative methods do not require calculation of eigenvector, ?max and hence the CR of a PCM cannot be easily estimated. We propose in this paper a simple heuristics for calculating ?max without any need to use Eigenvector Method (EM). We illustrated the proposed procedure with larger size matrices. Simulation is used to compare the accuracy of the proposed heuristics procedure with actual ?max for PCMs of various sizes. It has been found that the proposed heuristics is highly accurate, with errors less than 1%. The proposed procedure would avoid biases and help managers to make better decisions. The advantage of the proposed heuristics is that it can be easily calculated with simple calculations without any need for specialised mathematical procedures or software and is independent of the method used to derive priorities from PCMs.
History
Publication status
- Published
File Version
- Accepted version
Journal
International Journal of Operational ResearchISSN
1745-7645Publisher
InderscienceExternal DOI
Issue
4Volume
34Page range
524-541Department affiliated with
- Management Publications
Full text available
- Yes
Peer reviewed?
- Yes
Legacy Posted Date
2016-11-28First Open Access (FOA) Date
2020-04-10First Compliant Deposit (FCD) Date
2016-11-28Usage metrics
Categories
No categories selectedKeywords
Licence
Exports
RefWorks
BibTeX
Ref. manager
Endnote
DataCite
NLM
DC