Characterization of certain orders using their associated choice functions

Characterization of certain orders using their associated choice functions

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Article ID: iaor20021517
Country: Netherlands
Volume: 132
Issue: 3
Start Page Number: 619
End Page Number: 627
Publication Date: Aug 2001
Journal: European Journal of Operational Research
Authors: ,
Abstract:

Binary relation and choice functions define two different languages for describing the decision maker's (DM's) preferences over a finite set of alternatives. The study of normal choice functions establishes a link between these two languages. The existence of this kind of function demonstrates the compatibility between the DM's local choices (paired comparisons or binary choices) and the DM's global choices. In this paper, we explore this kind of linkage in depth by studying characterizations of special binary relations (total order, weak order, partial order and quasi order) using certain properties of their associated choice functions.

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