On the problem of weights in multiple criteria decision making (the noncompensatory approach)

A Characterization of Strict Concordance Relations

“…We refer to [Van86] for a thorough analysis of this method including possible assessment techniques for P i , V i , w i and ρ.…”

“…In outranking methods, the construction of a preference relation is based on pairwise comparisons of the alternatives. This preference relation may either be reflexive as in the electre methods [Roy91] (it is then interpreted as an "at least as good" relation) or asymmetric as in tactic [Van86] (it is then interpreted as a "strict preference" relation). Most outranking methods, including electre and tactic, make use of the so-called concordance-discordance principle which consists in accepting a preferential assertion linking an alternative a to an alternative b if:…”

“…2 Outranking methods leading to an asymmetric relation 2.1 TACTIC [Van86] Consider two alternatives x and y evaluated on a family N = {1, 2, . .…”

On Some Properties of Outranking Relations Based on a Concordance-Discordance Principle

“…However, the definition of the aggregation function V may not always be an easy task (see, e.g., Roy and Bouyssou (1987)). Starting with ELECTRE I (see Roy (1968) or, for a presentation in English, Goicoechea et al (1982)), a number of MCDM techniques, the so-called outranking methods, have been proposed that use an alternative way to build a preference relation based on a concordance-discordance principle (see, e.g., Roy and Bertier (1973), Vansnick (1986) and the bibliography of Siskos et al (1983)). In these methods, the preference relation, which is often called an outranking relation, is built through a series of pairwise comparisons.…”

“…For practical purposes, the importance of a coalition of attributes is usually determined in an additive way after having attached a weight p i to each attribute. For instance, in TACTIC (Vansnick (1986)), we have, for the concordance part of the method:…”