3 papers
cs.DM2026
Axiomatic characterizations of dissimilarity orderings and distances between sets
Thierry Marchant, Sandip Sarkar
We axiomatically characterize the orderings of pairs of sets induced by several distances: Hamming, Jaccard, Sørensen-Dice and Overlap. We also axiomatically characterize these di…
math.CO2024
About maximal antichains in a product of two chains:A catch-all note
Denis Bouyssou, Thierry Marchant, Marc Pirlot
We establish one-to-one correspondences between maximal antichains in products of two finite linear orders and other mathematical objects, such as certain alignments of two strings…
cs.DM2024
ELECTRE TRI-nB, pseudo-disjunctive: axiomatic and combinatorial results
Denis Bouyssou, Thierry Marchant, Marc Pirlot
ELECTRE TRI-nB is a method designed to sort alternatives evaluated on several attributes into ordered categories. It is an extension of ELECTRE TRI-B, using several limiting profil…