A representation of interval orders through a bi-utility function

Y Rébillé - Journal of Mathematical Psychology, 2023 - Elsevier
The elaboration of preference relations and their representations trace their source to early
economic theory. Classical representations of preferences theorems rely on Debreu …

Continuous order-preserving functions for all kind of preorders

G Bosi - Order, 2023 - Springer
A topology is said to be strongly useful if every weakly continuous preorder admits a
continuous order-preserving function. A strongly useful topology is useful, in the sense that …

Undominated Maximals: General Definition and Characterizations

F Quartieri - Mathematics, 2023 - mdpi.com
This paper proposes a general definition of an undominated maximal of a relation on a
constraint set. No specific requirement is imposed on either the asymmetry of the objective …

An Approach to Distributed Systems from Orderings and Representability

A Estevan - Bulletin of the Iranian Mathematical Society, 2024 - Springer
In the present paper, we propose a new approach on 'distributed systems': the processes
are represented through total orders and the communications are characterized by means of …