Consistency
Harmonic Consistency Index (HCI): Harmonic-mean eigenvalue approximation for PCMs
Stein, W.E., Mizzi, P.J. · 2007
Strengths
- •Conservative lower bound on CI
- •Robust to single extreme outlier entries
- •Computationally simple (no eigenvalue required)
Limitations
- •Less widely known than Saaty CR in practice
- •Thresholds same as Saaty (no size-specific calibration)
Method assistant
Grounded explanations: it explains the method, it does not compute.
Assumptions to verify
- •PCM entries are positive and reciprocal
- •Geometric mean priority vector computed
When not to use
- •As sole consistency criterion: use alongside CI or GCI
How to cite
Stein, W.E.; Mizzi, P.J. (2007). The harmonic consistency index for the analytic hierarchy process. European Journal of Operational Research. https://doi.org/10.1016/j.ejor.2005.10.057