Work

On Modularity, Indistinguishability and Generalized Metrics: Duality and Aggregation

Year: 2026

Type: article

Abstract: In this paper we prove that, on the one hand, a duality relationship between different types of modular T-transitive relations and the reciprocal modular generalized metrics exists and, on the other hand, that based on this duality a construction of functions that aggregate modular T-transitive relations can be made from functions aggregating generalized metrics. Furthermore, we provide a guide of the families of that type of functions that can be used to the aforementioned purpose. Finally, illustrative examples of how to create such functions via the duality are given.

Source: Mathematics

DOI: 10.3390/math14040696

Authors: Gabriel Jaume-Martin, Francisco Javier Talavera, Jorge Elorza, Oscar Valero

Institutions: Health Research Institute of the Balearic Islands, Hospital Universitario Son Espases, Universitat de les Illes Balears, Universidad de Navarra

Language: English

Topic: Advanced Algebra and Logic

Subfield: Computational Theory and Mathematics

Field: Computer Science

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $3,137

Funders: Universidad de Navarra, Universitat de les Illes Balears, European Regional Development Fund, Agencia Estatal de Investigación