EURO 2024 Copenhagen
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3011. Forward Accuracy in AHP/ANP: Unraveling the Consistency-Compatibility Conundrum through Color Brightness Comparisons

Invited abstract in session WA-44: Pairwise comparisons and preference relations 3, stream Multiple Criteria Decision Analysis.

Wednesday, 8:30-10:00
Room: 20 (building: 324)

Authors (first author is the speaker)

1. Adriana Miclea
UNESCO Department for Business Administration, Bucharest University of Economic Studies

Abstract

This paper examines the existence of a linear relationship between the consistency ratio and the compatibility index in the AHP/ANP framework. The linear relationship is tested with respect to accuracy principle, using an original development referred as “forward accuracy”. For several years, students in Bucharest University of Economic Studies were asked to pairwise compare the brightness of five colors. Their consistency and compatibility indices were collected and based on these, accuracy curves among these two measures were inferred. While there is hope in the AHP/ANP methodology that a low value of the inconsistency ratio will grant compatibility and the rightness of the decision-making structures, there is rather an insignificant number of practical experiments to challenge this one. This multi-annual experiment shows that in the simple situation when brightness is compared, accuracy curves as linear relationships between consistency and compatibility remain similar, while on the same accuracy curve one could find high consistency with low compatibility and the other way around. Conclusions are two-folded: is need to perform lots of experiments, to figure out what is the acceptable threshold of inconsistency ratio and alternative measures like “forward accuracy” where the impact of a pair (consistency-compatibility) on the shape of the linear relationship is assessed in terms of future impact could prove useful.

Keywords

Status: accepted

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