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Preference Modelling

Authors: Meltem Öztürk, Alexis Tsoukias, and Philippe Vincke

Published in: Dagstuhl Seminar Proceedings, Volume 4271, Preferences: Specification, Inference, Applications (2006)

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.

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Meltem Öztürk, Alexis Tsoukias, and Philippe Vincke. Preference Modelling. In Preferences: Specification, Inference, Applications. Dagstuhl Seminar Proceedings, Volume 4271, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2006)

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@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/entities/document/10.4230/DagSemProc.04271.6},
  URN =		{urn:nbn:de:0030-drops-4507},
  doi =		{10.4230/DagSemProc.04271.6},
  annote =	{Keywords: Preferences, Interval Orders, Hesitation, Logical formulation}
}

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DOI: 10.4230/DagSemProc.04271.8

Preferences on Intervals: a general framework

Authors: Alexis Tsoukias and Meltem Öztürk

Published in: Dagstuhl Seminar Proceedings, Volume 4271, Preferences: Specification, Inference, Applications (2006)

Abstract

I present a general framework for the comparison of alternatives to which (possibly) an interval of values is associated. Some representation theorems for the existence of the intervals are discussed as well the possibility ot explicitly take into account situations of hesitation. Some appropriate logical formalisms are discussed for such a purpose.

Cite as

Alexis Tsoukias and Meltem Öztürk. Preferences on Intervals: a general framework. In Preferences: Specification, Inference, Applications. Dagstuhl Seminar Proceedings, Volume 4271, pp. 1-6, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2006)

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@InProceedings{tsoukias_et_al:DagSemProc.04271.8,
  author =	{Tsoukias, Alexis and \"{O}zt\"{u}rk, Meltem},
  title =	{{Preferences on Intervals: a general framework}},
  booktitle =	{Preferences: Specification, Inference, Applications},
  pages =	{1--6},
  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/entities/document/10.4230/DagSemProc.04271.8},
  URN =		{urn:nbn:de:0030-drops-4015},
  doi =		{10.4230/DagSemProc.04271.8},
  annote =	{Keywords: Preferences, Interval Orders, Hesitation, Logical formulation}
}

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Preference Modelling

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Preferences on Intervals: a general framework

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