This paper is devoted to the study of methods allowing to sort multi-attributed alternatives between several ordered categories. Within a general framework that encompasses most sorting models proposed in the literature, we provide an axiomatic analysis of what we call noncompensatory sorting models, with or without veto effects. These models contain the pessimistic version of ELECTRE TRI as a ...

ELECTRE TRI is a method designed to sort alternatives evaluated on several criteria into ordered categories. The original method uses limiting profiles. A recently introduced variant uses central profiles. We study the relations between these two variants. We do so by investigating if an ordered partition obtained with one variant can also be obtained by the other variant, after a suitable rede...

When considering Electre s valued outranking relations, aggregation/disaggregation methodologies have difficulties in taking discordance (veto) into account. We present a partial inference procedure to compute the value of the vetorelated parameters that best restore a set of outranking statements (i.e., examples that an Electre model should restore) provided by a decision maker, given fixed va...

Given a ®nite set of alternatives A, the sorting (or assignment) problem consists in the assignment of each alternative to one of the pre-de®ned categories. In this paper, we are interested in multiple criteria sorting problems and, more precisely, in the existing method ELECTRE TRI. This method requires the elicitation of preferential parameters (weights, thresholds, category limits,. . .) in ...

Main decision-making problems can be described into choice, ranking or sorting of a set of alternatives or solutions. The principle of Electre TRI (ET) method is to sort alternatives ai according to criteria g j into categories Ch whose lower and upper limits are respectively bh and bh+1. The sorting procedure is based on the evaluations of outranking relations based firstly on calculation of p...

A number of recent papers have investigated the foundations of methods allowing to sort multi-attributed alternatives between several ordered categories. This paper has a similar objective. Our analysis uses a general conjoint measurement framework, encompassing most sorting models used in MDCM, that was proposed in the literature. Within this framework, we provide an axiomatic analysis of what...

In this thesis a method for risk classification in the information security domain is described. Using a set of classification examples, an ELECTRE TRI multi-criteria decision aid model is constructed. This model is capable of classifying organizations in risk classes based on company characteristics and results of technical assessment. The construction process of this model consisted of gather...

This document is the User Manual for the decision support software IRIS Interactive Robustness analysis and parameters' Inference for multicriteria Sorting problems (Version 2). This tool has been built to support the assignment of actions (alternatives, projects, candidates) described by their evaluation (performance) at multiple dimensions (criteria) to a set of predefined ordered categories,...