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

TL;DR

This paper analyzes the axiomatic and combinatorial properties of ELECTRE TRI-nB, an extension of a multi-criteria sorting method that uses multiple limiting profiles to improve category delimitation.

Contribution

It provides an axiomatic characterization and combinatorial insights into the pseudo-disjunctive version of ELECTRE TRI-nB, expanding understanding of its theoretical foundations.

Findings

Axiomatic characterization of ELECTRE TRI-nB, pseudo-disjunctive.

Combinatorial results on category partitions.

Comparison with pseudo-conjunctive version.

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.