6 papers
Continuous Representations of Preferences by Means of Two Continuous Functions
Gianni Bosi, Asier Estevan
Let be a reflexive binary relation on a topological space . A pair of continuous real-valued functions on is said to be a {\em continuous repr…
Intergenerational Preferences and Continuity: Reconciling Order and Topology
Asier Estevan, Roberto Maura, Oscar Valero
In this paper we focus our efforts on studying how a preorder and topology can be made compatible. Thus we provide a characterization of those that are continuous-compatible. Such…
A Mathematical Approach to Law and Deal Modelling: Legislation and Agreements
Jon Benito-Ostolaza, MarÃa Jesús Campión, Asier Estevan
This paper presents a new and original first approach to agreement situations as well as to regulations constructions. This is made by giving a mathematical formalization to the se…
On fixed point theory in partially ordered sets and an application to asymptotic complexity of algorithms
Asier Estevan, Juan-José Minãna, Oscar Valero
The celebrated Kleene fixed point theorem is crucial in the mathematical modelling of recursive specifications in Denotational Semantics. In this paper we discuss whether the hypot…
A topological study for the existence of lower-semicontinuous Richter-Peleg multi-utilities
Gianni Bosi, Asier Estevan, Armajac Raventós
In the present paper we study necessary and sufficient conditions for the existence of a semicontinuous and finite Richter-Peleg multi-utility for a preorder. It is well know that,…
Partial representations of orderings
Gianni Bosi, Asier Estevan, Magali Zuanon
In the present paper a new concept of representability is introduced, which can be applied to not total and also to intransitive relations (semiorders in particular). This idea tri…