G Bosi, M Zuanon - Mathematical Topics on Representations of Ordered …, 2020 - Springer
A continuous multi-utility fully represents a not necessarily total preorder on a topological space by means of a family of continuous increasing functions. While it is very attractive for …
G Bosi, M Zuanon - Journal of Optimization Theory and Applications, 2019 - Springer
We characterize the possibility of determining all the maximal elements for a preorder on a topological space by maximizing all the functions in a suitable family of upper …
A Raventós-Pujol - arXiv preprint arXiv:2111.03010, 2021 - arxiv.org
In this paper we study the aggregation of fuzzy preferences on non-necessarily finite societies. We characterize in terms of possibility and impossibility a family of models of …
The thesis presents some classical results concerning the Utility Theory. We present the requirements that a preorder must satisfy in order to be representable with a utility function …