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Preference Modelling

In: Multiple Criteria Decision Analysis

Author

Listed:
  • Stefano Moretti

    (Université Paris Dauphine)

  • Meltem Öztürk

    (Université Paris Dauphine)

  • Alexis Tsoukiàs

    (Université Paris Dauphine)

Abstract

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 preference model. 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 numerical representation of preferences: functional representations, value functions. The concepts of thresholds and minimal representation are also introduced in this section. We also deal with the problem of how to extend a preference relation over a set A of “objects” to the set of all subsets of A. In Sect. 3.9, 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 chapter with some concluding remarks.

Suggested Citation

  • Stefano Moretti & Meltem Öztürk & Alexis Tsoukiàs, 2016. "Preference Modelling," International Series in Operations Research & Management Science, in: Salvatore Greco & Matthias Ehrgott & José Rui Figueira (ed.), Multiple Criteria Decision Analysis, edition 2, chapter 0, pages 43-95, Springer.
    • Handle: RePEc:spr:isochp:978-1-4939-3094-4_3
    DOI: 10.1007/978-1-4939-3094-4_3
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    Citations

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    Cited by:

    1. Colorni, Alberto & Tsoukiàs, Alexis, 2024. "What is a decision problem?," European Journal of Operational Research, Elsevier, vol. 314(1), pages 255-267.
    2. Ouahiba Bessouf & Abdelkader Khelladi & Meltem Öztürk & Alexis Tsoukiàs, 2023. "Bi-oriented graphs and four valued logic for preference modelling," Annals of Operations Research, Springer, vol. 328(2), pages 1239-1262, September.

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