In this paper, we go further on the problem of the continuous numerical representability of
interval orders defined on topological spaces. A new condition of compatibility between the …

Given an interval order on a topological space, we characterize its representability by means
of a pair of upper semicontinuous real-valued functions. This characterization is only based …

We analyze the main properties of binary relations, defined on a nonempty set, that arise in
a natural way when dealing with real-valued functions that satisfy certain classical functional …

We present different conditions for the existence of a pair of upper semicontinuous functions
representing an interval order on a topological space without imposing any restrictive …

In 1956 RD Luce introduced the notion of a semiorder to deal with indifference relations in
the representation of a preference. During several years the problem of finding a utility …