The mathematical equivalence of the “spanning tree” and row geometric mean preference vectors and its implications for preference analysis

• Published in: European journal of operational research Vol. 257; no. 1; pp. 197 - 208
• Main Authors: Lundy, Michele, Siraj, Sajid, Greco, Salvatore
• Format: Journal Article
• Language: English
• Published: Amsterdam Elsevier B.V 16.02.2017; Elsevier Sequoia S.A
• Subjects: Comparative analysis; Decision analysis; Graph theory; Hierarchies; Mathematical programming; Multiple criteria analysis; Pairwise comparisons; Preferences; Spanning trees; Studies; Graph theory; Pairwise comparisons; Decision analysis; Spanning trees; Multiple criteria analysis

•We introduce the geometric mean operator within the “spanning tree” prioritization approach.•We compare the preference vectors calculated from the “spanning tree” and row geometric mean prioritization methods.•We prove the equivalence of these preference vectors.•We establish the importance of this...