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Continuous representability of interval orders and biorders

2006; Elsevier BV; Volume: 51; Issue: 2 Linguagem: Inglês

10.1016/j.jmp.2006.10.005

1096-0880

Gianni Bosi, Juan C. Candeal, Esteban Induráin,

Rough Sets and Fuzzy Logic

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.