1 citations · 3 across the 6 of their papers we have counts for
7 papers
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 dis…
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…
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…
Axiomatic characterization of the dissimilarity measure
Denis Bouyssou, Thierry Marchant, Marc Pirlot
We axiomatically characterize the dissimilarity measure. To this end, we solve a new generalization of a functional equation discussed in Aczel (Lectures on functional equa…
A theoretical look at ELECTRE TRI-nB and related sorting models
Denis Bouyssou, Thierry Marchant, Marc Pirlot
Electre Tri is a set of methods designed to sort alternatives evaluated on several criteria into ordered categories. In these methods, alternatives are assigned to categories by co…
The size of the largest antichains in products of linear orders
Denis Bouyssou, Thierry Marchant, Marc Pirlot
We present new exact and asymptotic results about the size of the largest antichain in the product of linear orders.
Means and covariance functions for geostatistical compositional data: an axiomatic approach
Denis Allard, Thierry Marchant
This work focuses on the characterization of the central tendency of a sample of compositional data. It provides new results about theoretical properties of means and covariance fu…