How relevant is the lack of reciprocity in pairwise comparisons? An experiment with AHP

How relevant is the lack of reciprocity in pairwise comparisons? An experiment with AHP

0.00 Avg rating0 Votes
Article ID: iaor20163540
Volume: 245
Issue: 1
Start Page Number: 227
End Page Number: 244
Publication Date: Oct 2016
Journal: Annals of Operations Research
Authors: , , ,
Keywords: analytic hierarchy process, matrices
Abstract:

Most pairwise comparison (PC) methods typically require the explicit elicitation of only half of the comparisons, and infer the rest by assuming reciprocity in the decision maker’s comparisons. However, this may imply losing useful information contained in the additional comparisons that could be made, and which might be different from the first ones. This study assesses how relevant the lack of reciprocity may be in an experimental setting, and to what extent the information included in the additional comparisons may influence results. Our experiment shows that decision makers display substantial levels of irreciprocity and inconsistency, and that they generally prefer preference vectors calculated without assuming reciprocity in their comparisons. According to our results, our main conclusion is that, in general, decision makers should be requested all the comparisons in a PC matrix.

Reviews

Required fields are marked *. Your email address will not be published.