Ordinal aggregation with qualitative scales

The importance degree related to each point of view and to any subset of all different points of view is expressed in terms of a Choquet capacity also called fuzzy measure

- weighted aggregation functions (quantitative and qualitative approaches), - aggregation based on optimalisation (mixture operators, for example), - ordinal sums of

Let us assume that instead of a given cardinal weight vector w we observe a complete pre-order π on the family of criteria F which represents the significance rank each criterion

Depending upon the causal relationships between manifest and latent variables (defining the so-called measurement model), we can incur in two alternative models: one (called

Keywords: Comparison meaningfulness; ordinal scales; aggregation functions; decision making..

that, from among all the possible set functions that disjunctively define a given lattice polynomial function, only one is nondecreasing. Similarly, from among all the possible

Three main classes are discussed, namely order invariant functions, comparison meaningful functions on a single ordinal scale, and comparison meaningful functions on independent

Unicity: If the categories represent a discriminated partition of the measurement scales on each criterion and r 6 = 0, then every object is sorted into exactly one