Bipolar and bivariate models in multi-criteria decision analysis: descriptive and constructive approaches

Multi-criteria decision analysis studies decision problems in which the alternatives are evaluated on several dimensions or viewpoints. In the problems we consider in this paper, the scales used for assessing the alternatives with respect to a viewpoint are bipolar and univariate or unipolar and bivariate. In the former case, the scale is divided in two zones by a neutral point; a positive feeling is associated to the zone above the neutral point and a negative feeling to the zone below this point. On unipolar bivariate scales, an alternative can receive both a positive and a negative evaluation, reflecting contradictory feelings or stimuli. The paper discusses procedures and models that have been proposed to aggregate multi-criteria evaluations when the scale of each criterion is of one of the two types above. We present both a constructive and a descriptive view on this question; the descriptive approach is concerned with characterizations of models of preference, while the constructive approach aims at building preferences by questioning the decision maker. We show that these views are complementary.Multiple criteria, Decision analysis, Preference, Bipolarmodels, Choquet integral

A theoretical look at ELECTRE TRI-nB and related sorting models

ELECTRE TRI is a set of methods designed to sort alternatives evaluated on several attributes into ordered categories. The original ELECTRE TRI-B method uses one limiting profile per category. A more recent method, ELECTRE TRI-nB, allows one to use several limiting profiles for each category. We investigate the properties of ELECTRE TRI-nB. When the number of limiting profiles used to define each category is not restricted, ELECTRE TRI-nB is easy to characterize axiomatically and is found to be equivalent to several other methods proposed in the literature. We extend this result in various directions.Comment: 40 page

A characterization of two disproportionality and malapportionment indices : the Duncan and Duncan index and the Lijphart index

Disproportionality indices aim at measuring to what extent the composition of a parliament differs from the distribution of the votes among parties. Malapportionment indices measure to what extent the number of parliament seats attached to each district differs from the distribution of the population among districts. Since there exist many different such indices, some conditions have recently been proposed for assessing the merits of the various indices. In this paper, we propose a characterization of two disproportionality and malapportionment indices: the Duncan and Duncan index (also called Loosemore-Hanby) and the Lijphart index

Ag Decision Maker, April 2002, Vol. 6, no. 6

A Business Newsletter for Agricultur

Quantification de l'expertise balistique par analyse d'images

Doctorat en sciences appliquéesinfo:eu-repo/semantics/nonPublishe

Etats canoniques généralisés et équivalence des ensembles

info:eu-repo/semantics/publishe

Synthetic description of a semiorder

Recently, in studying minimal representations of semiorders, we introduced a substructure of "noses" and "hollows" essentially describing the frontier between 0's and 1's in the incidence step matrix of a semiorder. We show that the "noses" and "hollows" provide a synthetic description of a semiorder that they determine completely. The results have computational implications. © 1991.SCOPUS: ar.jinfo:eu-repo/semantics/publishe