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Preference Modelling

In: Multiple Criteria Decision Analysis: State of the Art Surveys

Author

Listed:
  • Meltem Öztürké

    (LAMSADE-CNRS, Université Paris Dauphine)

  • Alexis Tsoukiàs

    (LAMSADE-CNRS, Université Paris Dauphine)

  • Philippe Vincke

    (Universitë Libre de Bruxelles)

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 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 numerical representation of preferences: functional representations, value functions. The concepts of thresholds and minimal representation are also introduced in this section. In Section 8, 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

  • Meltem Öztürké & Alexis Tsoukiàs & Philippe Vincke, 2005. "Preference Modelling," International Series in Operations Research & Management Science, in: Multiple Criteria Decision Analysis: State of the Art Surveys, chapter 0, pages 27-59, Springer.
    • Handle: RePEc:spr:isochp:978-0-387-23081-8_2
    DOI: 10.1007/0-387-23081-5_2
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    Citations

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    Cited by:

    1. Leyva López, Juan Carlos & Solano Noriega, Jesús Jaime & Figueira, José Rui & Liu, Jun & Gastélum Chavira, Diego Alonso, 2021. "Non-dominated sorting genetic-based algorithm for exploiting a large-sized fuzzy outranking relation," European Journal of Operational Research, Elsevier, vol. 293(2), pages 615-631.
    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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