The Triads Geometric Consistency Index in AHP-Pairwise Comparison Matrices

摘要: The paper presents the Triads Geometric Consistency Index ( T - G C I ), a measure for evaluating inconsistency of pairwise comparison matrices employed in Analytic Hierarchy Process (AHP). Based on Saaty’s definition consistency AHP, new works directly with triads initial judgements, without having to previously calculate priority vector, and therefore is valid any prioritisation procedure used AHP. an intuitive indicator defined as average log quadratic deviations from unit intensities all cycles length three. Its value coincides that ) this allows utilisation thresholds well properties when using . In addition, decision tools developed can be working especially improving stability intervals judgements group making. further includes study computational complexity both measures which selecting most appropriate expression, depending size matrix. Finally, it proved generalisation proposed It not necessary consider greater than three, they are more complex obtain calculation their associated difficult.