ELECTRE TRI-nB, pseudo-disjunctive: axiomatic and combinatorial results
Discrete Mathematics
2025-04-22 v1
Abstract
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 profiles, instead of just one, to delimit each category. ELECTRE TRI-nB comes in two flavours: pseudo-conjunctive and pseudo-disjunctive. In a previous paper we have characterized the ordered partitions that can be obtained with ELECTRE TRI-nB, pseudo-conjunctive, using a simple axiom called linearity. The present paper is dedicated to the axiomatic analysis of ELECTRE TRI-nB, pseudo-disjunctive. It also provides some combinatorial results.
Keywords
Cite
@article{arxiv.2410.18443,
title = {ELECTRE TRI-nB, pseudo-disjunctive: axiomatic and combinatorial results},
author = {Denis Bouyssou and Thierry Marchant and Marc Pirlot},
journal= {arXiv preprint arXiv:2410.18443},
year = {2025}
}
Comments
Companion paper: About maximal antichains in a product of two chains:A catch-all note (arXiv:2410.16243)