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arXiv · 2410.18443

ELECTRE TRI-nB, pseudo-disjunctive: axiomatic and combinatorial results

Denis Bouyssou·Thierry Marchant·Marc Pirlot
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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.

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Denis Bouyssou, Thierry Marchant, Marc Pirlot. 2024-10-24. ELECTRE TRI-nB, pseudo-disjunctive: axiomatic and combinatorial results. https://doi.org/10.1007/s11238-025-10034-2

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