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Parametrized preference structures and some geometrical interpretation

✍ Scribed by JÁNOS C. FODOR; MARC ROUBENS

Publisher
John Wiley and Sons
Year
1997
Tongue
English
Weight
235 KB
Volume
6
Category
Article
ISSN
1057-9214

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✦ Synopsis

Order structures such as linear orders, semiorders and interval orders are often used to model preferences in decisionmaking problems. In this paper we introduce a family of preference structures where the mutual indifference threshold belongs to a specific family parametrized by extended reals a. This family includes interval orders a 1, tangent circle orders a 0 and a new preference structure called diamond order' a ÀI. All these preference relations present an asymmetric part which is shown to be always quasi-transitive and to be transitive for a 5 1. Diamond orders present forbidden configurations' which can occur in the case of tangent circle orders. & 1997 by

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