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Pseudo-orders: Definition, properties and numerical representation

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Date
1987
Dewey
Recherche opérationnelle
Sujet
Indifference; preference; pseudo-order; numerical representation; thresholds
Journal issue
Mathematical Social Sciences
Volume
14
Number
3
Publication date
1987
Article pages
263-274
Publisher
Elsevier
DOI
http://dx.doi.org/10.1016/0165-4896(87)90005-9
URI
https://basepub.dauphine.fr/handle/123456789/13860
Collections
  • LAMSADE : Publications
Metadata
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Author
Roy, Bernard
Vincke, Philippe
Type
Article accepté pour publication ou publié
Abstract (EN)
The purpose of this paper is to present a structure, called pseudo-order, which could be taken as a model of preference for a decision-maker who hesitates, for cairs of actions, between indefference and preference. We will study its properties, particularly concerning its functional representation: the results obtained generalize the properties of such well-known structures as complete preorders and semi-orders.

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