Research Article

An Outranking Multicriteria Method for Nominal Classification Problems with Minimum Performance Profiles

Table 1

The six types of preference functions used in PROMETHEE [40].

CriterionTypeParametersDescription

UsualINoneIt is used for qualitative criteria with few evaluation levels (up to 5-point-scale)

Quasi-criterion (U-shape)IIq parameter (indifference threshold)It is a special case of level one

Preference threshold (V-shape)IIIp parameter (preference threshold)It is a special case of the linear criterion when there is no indifference threshold (q)

Pseudo-criterion (Level)IVp and (preference and indifference thresholds)It is used for qualitative criteria when one needs to differentiate smaller deviations from large ones

Indifference area (Linear)Vp and (preference and indifference thresholds)It is used for quantitative criteria expressed on a continuous scale

GaussianVIStandard deviationIt is more difficult to structure because its threshold value is somewhere between the indifference threshold and the preference threshold