Let X be a topological space. We consider two spaces of continuous preference relations on
X. A local continuous quasiorder is a continuous, complete, quasitransitive binary relation …

Looking at decisiveness as crucial, we discuss the existence of an order-preserving function
for the nontotal crisp preference relation naturally associated to a nontotal fuzzy preference …

We characterize the property according to which every maximal element relative to a
preorder on a compact topological space can be obtained by maximizing a transfer weakly …

We introduce and discuss a generalization of the classical multi-objective optimization to
pairs of functions. This procedure is referred to as bi-multi-objective optimization. A …

In this thesis we first review some results concerning the real representation of preferences.
Different kind of preferences are considered and a particular attention is devoted to the case …