Distributional performance evaluations on a qualitative preference scale

In a first Chapter, we present a critical review of the weighted average when facing distributional performance evaluations measured on an essentially qualitative preference scale. In a second Chapter we develop a general typology of qualitative preference scales between between ordinal and cardinal; from non gradual, non metrifyable, partially gradual, gradual, metrifyable, metric extensive to additive, additive-archemidian and measurable scales. The typology is based on the subjective degree of indeterminateness of the numerical representation of the performance contrasts. In a third Chapter we finally define a typology of subjective outranking situations: elementary, intensive or extensive; based on the corresponding underlying type of the preference measurement scale