Pseudo-orders: Definition, properties and numerical representation

Roy, Bernard; Vincke, Philippe

Roy, Bernard; Vincke, Philippe (1987), Pseudo-orders: Definition, properties and numerical representation, Mathematical Social Sciences, 14, 3, p. 263-274. http://dx.doi.org/10.1016/0165-4896(87)90005-9

Type

Article accepté pour publication ou publié

Date

1987

Journal name

Mathematical Social Sciences

Volume

Number

Publisher

Elsevier

Pages

263-274

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.

Subjects / Keywords

Indifference; preference; pseudo-order; numerical representation; thresholds