Abstract (EN)

This paper provides the reader with a presentation of preference modelling fundamental notions aswell as some recent results in this field. Preference modelling is an inevitable step in a variety offields: economy, sociology, psychology, mathematical programming, even medicine, archaeology,and obviously decision analysis. Our notation and some basic definitions, such as those of binaryrelation, properties and ordered sets, are presented at the beginning of the paper. We start by discussing different reasons for constructing a model or preference. We then go through a number ofissues that influence the construction of preference models. Different formalisations besides classical logic such as fuzzy sets and non-classical logics become necessary. We then present differenttypes of preference structures reflecting the behavior of a decision-maker: classical, extended andvalued ones. It is relevant to have a numerical representation of preferences: functional representa-tions, value functions. The concepts of thresholds and minimal representation are also introducedin this section. In section 7, we briefly explore the concept of deontic logic (logic of preference)and other formalisms associated with "compact representation of preferences" introduced for special purposes. We end the paper with some concluding remarks.