Pseudo-orders: Definition, properties and numerical representation

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:...

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Bibliographic Details
Published in:Mathematical social sciences 1987-12, Vol.14 (3), p.263-274
Main Authors: Roy, B., Vincke, Ph
Format: Article
Language:English
Subjects:
Indifference
numerical representation
preference
pseudo-order
thresholds
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Summary: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.
ISSN:0165-4896
1879-3118
DOI:10.1016/0165-4896(87)90005-9