Abstract
In the framework of the analysis of orderings whose associated indifference relation is not necessarily transitive, we study the structure of an interval order and its representability through a pair of real-valued functions. We obtain a list of characterizations of the existence of a representation, showing that the three main techniques that have been used in the literature to achieve numerical representations of interval orders are indeed equivalent.
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Bosi, G., Candeal, J.C., Induráin, E. et al. Numerical Representations of Interval Orders. Order 18, 171–190 (2001). https://doi.org/10.1023/A:1011974420295
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DOI: https://doi.org/10.1023/A:1011974420295