License: Creative Commons Attribution 4.0 International license (CC BY 4.0)
When quoting this document, please refer to the following
DOI: 10.4230/DagSemProc.04271.6
URN: urn:nbn:de:0030-drops-4507
URL: http://dagstuhl.sunsite.rwth-aachen.de/volltexte/2006/450/
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Öztürk, Meltem ; Tsoukias, Alexis ; Vincke, Philippe

Preference Modelling

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04271.TsoukiasAlexis.Paper.450.pdf (0.4 MB)

Abstract

This paper 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 paper. 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 7, we briefly explore the concept of deontic logic (logic of preference) and other formalisms associated with "compact representation of preferences" introduced for special purpoes. We end the paper with some concluding remarks.

BibTeX - Entry

@InProceedings{ozturk_et_al:DagSemProc.04271.6,
  author =	{\"{O}zt\"{u}rk, Meltem and Tsoukias, Alexis and Vincke, Philippe},
  title =	{{Preference Modelling}},
  booktitle =	{Preferences: Specification, Inference, Applications},
  series =	{Dagstuhl Seminar Proceedings (DagSemProc)},
  ISSN =	{1862-4405},
  year =	{2006},
  volume =	{4271},
  editor =	{Gianni Bosi and Ronen I. Brafman and Jan Chomicki and Werner Kie{\ss}ling},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/opus/volltexte/2006/450},
  URN =		{urn:nbn:de:0030-drops-4507},
  doi =		{10.4230/DagSemProc.04271.6},
  annote =	{Keywords: Preferences, Interval Orders, Hesitation, Logical formulation}
}

Keywords: Preferences, Interval Orders, Hesitation, Logical formulation
Collection: 04271 - Preferences: Specification, Inference, Applications
Issue Date: 2006
Date of publication: 24.01.2006

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