查看文章

This chapter provides the reader with a presentation of preference modelling fundamental notions as well as some recent results in this field. Preference modelling is an inevitable step in a variety of fields: economy ‚sociology ‚psychology ‚mathematical programming ‚even medicine ‚archaeology ‚and obviously decision analysis. Our notation and some basic definitions ‚such as those of binary relation ‚properties and ordered sets ‚are presented at the beginning of the chapter. We start by discussing different reasons for constructing a model or preference. We then go through a number of issues 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 different types of preference structures reflecting the behavior of a decision-maker: classical ‚extended and valued ones. It is relevant to have a …