We furnish a characterization of the representability of an interval order through a pair of continuous real-valued functions which in addition represent two total preorders associated to the given interval order. Our techniques lean on the key concept of a biorder. We introduce the concept of a natural topology for an interval order, and through such concept we extend the classical biorder approach to the continuous case.
Continuous representability of interval orders and biorders / Bosi, Gianni; Candeal, J. C.; Indurain, E.. - In: JOURNAL OF MATHEMATICAL PSYCHOLOGY. - ISSN 0022-2496. - STAMPA. - 51:(2007), pp. 122-125. [10.1016/j.jmp.2006.10.005]
Continuous representability of interval orders and biorders
BOSI, GIANNI;
2007-01-01
Abstract
We furnish a characterization of the representability of an interval order through a pair of continuous real-valued functions which in addition represent two total preorders associated to the given interval order. Our techniques lean on the key concept of a biorder. We introduce the concept of a natural topology for an interval order, and through such concept we extend the classical biorder approach to the continuous case.Pubblicazioni consigliate
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