Reducing inconsistency measured by the geometric consistency index in the analytic hierarchy process

This paper presents a theoretical framework and a procedure for revising the judgements and improving the inconsistency of an Analytic Hierarchy Process (AHP) pairwise comparison matrix when the Row Geometric Mean (RGM) is used as the prioritisation procedure and the Geometric Consistency Index (GCI) is the inconsistency measure. Inconsistency is improved by slightly modifying the judgements that further reduce the GCI. Both the judgements and the derived priority vector will be close to the initial values. A simulation study is utilised to analyse the performance of the algorithm. The proposed framework allows the specification of the procedure to particular interests. A numerical example illustrates the proposed procedure. (C) 2020 Elsevier B.V. All rights reserved.

Automated summary

This paper introduces a theoretical framework and procedure for revising judgements and improving inconsistency in AHP pairwise comparison matrix using RGM as the prioritisation procedure and GCI as the inconsistency measure. Inconsistency is reduced by modifying judgements while maintaining closeness to initial values, with the framework allowing customization for specific interests.